* New and improved voxel interpolation methods, from Alfredo.
Now there is (in order of speed): * Nearest neighbour (very rough quality) * Linear (medium quality) * Quadratic (good quality) * Cubic Catmull-rom (very good quality, crisp) * Cubic B-spline (very good quality, smooth) Thanks!
This commit is contained in:
Matt Ebb
parent
6caff6b390
commit
62dd488ad1
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@ -35,6 +35,7 @@
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/* all input coordinates must be in bounding box 0.0 - 1.0 */
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float voxel_sample_nearest(float *data, int *res, float *co);
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float voxel_sample_trilinear(float *data, int *res, float *co);
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float voxel_sample_tricubic(float *data, int *res, float *co);
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float voxel_sample_triquadratic(float *data, int *res, float *co);
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float voxel_sample_tricubic(float *data, int *res, float *co, int bspline);
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#endif /* BLI_VOXEL_H */
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@ -57,243 +57,142 @@ float voxel_sample_nearest(float *data, int *res, float *co)
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return D(data, res, xi, yi, zi);
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}
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/* *** trilinear *** */
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/* input coordinates must be in bounding box 0.0 - 1.0 */
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static inline float lerp(float t, float v1, float v2) {
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return (1.f - t) * v1 + t * v2;
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// returns highest integer <= x as integer (slightly faster than floor())
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inline int FLOORI(float x)
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{
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const int r = (int)x;
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return ((x >= 0.f) || (float)r == x) ? r : (r - 1);
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}
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// clamp function, cannot use the CLAMPIS macro, it sometimes returns unwanted results apparently related to gcc optimization flag -fstrict-overflow which is enabled at -O2
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// this causes the test (x + 2) < 0 with int x == 2147483647 to return false (x being an integer, x + 2 should wrap around to -2147483647 so the test < 0 should return true, which it doesn't)
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inline int _clamp(int a, int b, int c)
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{
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return (a < b) ? b : ((a > c) ? c : a);
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}
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/* trilinear interpolation - taken partly from pbrt's implementation: http://www.pbrt.org */
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float voxel_sample_trilinear(float *data, int *res, float *co)
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{
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float voxx, voxy, voxz;
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int vx, vy, vz;
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float dx, dy, dz;
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float d00, d10, d01, d11, d0, d1, d_final;
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if (data) {
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if (!data) return 0.f;
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const float xf = co[0] * res[0] - 0.5f;
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const float yf = co[1] * res[1] - 0.5f;
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const float zf = co[2] * res[2] - 0.5f;
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const int x = FLOORI(xf), y = FLOORI(yf), z = FLOORI(zf);
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voxx = co[0] * res[0] - 0.5f;
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voxy = co[1] * res[1] - 0.5f;
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voxz = co[2] * res[2] - 0.5f;
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const int xc[2] = {_clamp(x, 0, res[0] - 1), _clamp(x + 1, 0, res[0] - 1)};
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const int yc[2] = {res[0] * _clamp(y, 0, res[1] - 1), res[0] * _clamp(y + 1, 0, res[1] - 1)};
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const int zc[2] = {res[0] * res[1] * _clamp(z, 0, res[2] - 1), res[0] * res[1] * _clamp(z + 1, 0, res[2] - 1)};
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vx = (int)voxx; vy = (int)voxy; vz = (int)voxz;
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const float dx = xf - (float)x;
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const float dy = yf - (float)y;
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const float dz = zf - (float)z;
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const float u[2] = {1.f - dx, dx};
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const float v[2] = {1.f - dy, dy};
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const float w[2] = {1.f - dz, dz};
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dx = voxx - vx; dy = voxy - vy; dz = voxz - vz;
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return w[0] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[0]] + u[1] * data[xc[1] + yc[0] + zc[0]] )
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+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[0]] + u[1] * data[xc[1] + yc[1] + zc[0]] ) )
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+ w[1] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[1]] + u[1] * data[xc[1] + yc[0] + zc[1]] )
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+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[1]] + u[1] * data[xc[1] + yc[1] + zc[1]] ) );
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d00 = lerp(dx, D(data, res, vx, vy, vz), D(data, res, vx+1, vy, vz));
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d10 = lerp(dx, D(data, res, vx, vy+1, vz), D(data, res, vx+1, vy+1, vz));
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d01 = lerp(dx, D(data, res, vx, vy, vz+1), D(data, res, vx+1, vy, vz+1));
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d11 = lerp(dx, D(data, res, vx, vy+1, vz+1), D(data, res, vx+1, vy+1, vz+1));
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d0 = lerp(dy, d00, d10);
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d1 = lerp(dy, d01, d11);
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d_final = lerp(dz, d0, d1);
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return d_final;
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}
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/* *** tricubic *** */
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int C[64][64] = {
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{ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{-3, 3, 0, 0, 0, 0, 0, 0,-2,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 2,-2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{-3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0,-3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 9,-9,-9, 9, 0, 0, 0, 0, 6, 3,-6,-3, 0, 0, 0, 0, 6,-6, 3,-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{-6, 6, 6,-6, 0, 0, 0, 0,-3,-3, 3, 3, 0, 0, 0, 0,-4, 4,-2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2,-2,-1,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 2, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{-6, 6, 6,-6, 0, 0, 0, 0,-4,-2, 4, 2, 0, 0, 0, 0,-3, 3,-3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2,-1,-2,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 4,-4,-4, 4, 0, 0, 0, 0, 2, 2,-2,-2, 0, 0, 0, 0, 2,-2, 2,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 3, 0, 0, 0, 0, 0, 0,-2,-1, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-1, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9,-9,-9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3,-6,-3, 0, 0, 0, 0, 6,-6, 3,-3, 0, 0, 0, 0, 4, 2, 2, 1, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-6, 6, 6,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3,-3, 3, 3, 0, 0, 0, 0,-4, 4,-2, 2, 0, 0, 0, 0,-2,-2,-1,-1, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-6, 6, 6,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-4,-2, 4, 2, 0, 0, 0, 0,-3, 3,-3, 3, 0, 0, 0, 0,-2,-1,-2,-1, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4,-4,-4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,-2,-2, 0, 0, 0, 0, 2,-2, 2,-2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0},
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{-3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0, 0, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0,-3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0, 0, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 9,-9, 0, 0,-9, 9, 0, 0, 6, 3, 0, 0,-6,-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6,-6, 0, 0, 3,-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{-6, 6, 0, 0, 6,-6, 0, 0,-3,-3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-4, 4, 0, 0,-2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2,-2, 0, 0,-1,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0, 0, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0, 0, 0,-1, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9,-9, 0, 0,-9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0, 0,-6,-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6,-6, 0, 0, 3,-3, 0, 0, 4, 2, 0, 0, 2, 1, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-6, 6, 0, 0, 6,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3,-3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-4, 4, 0, 0,-2, 2, 0, 0,-2,-2, 0, 0,-1,-1, 0, 0},
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{ 9, 0,-9, 0,-9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0,-6, 0,-3, 0, 6, 0,-6, 0, 3, 0,-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
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{ 0, 0, 0, 0, 0, 0, 0, 0, 9, 0,-9, 0,-9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0,-6, 0,-3, 0, 6, 0,-6, 0, 3, 0,-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 2, 0, 1, 0},
|
||||
{-27,27,27,-27,27,-27,-27,27,-18,-9,18, 9,18, 9,-18,-9,-18,18,-9, 9,18,-18, 9,-9,-18,18,18,-18,-9, 9, 9,-9,-12,-6,-6,-3,12, 6, 6, 3,-12,-6,12, 6,-6,-3, 6, 3,-12,12,-6, 6,-6, 6,-3, 3,-8,-4,-4,-2,-4,-2,-2,-1},
|
||||
{18,-18,-18,18,-18,18,18,-18, 9, 9,-9,-9,-9,-9, 9, 9,12,-12, 6,-6,-12,12,-6, 6,12,-12,-12,12, 6,-6,-6, 6, 6, 6, 3, 3,-6,-6,-3,-3, 6, 6,-6,-6, 3, 3,-3,-3, 8,-8, 4,-4, 4,-4, 2,-2, 4, 4, 2, 2, 2, 2, 1, 1},
|
||||
{-6, 0, 6, 0, 6, 0,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 0,-3, 0, 3, 0, 3, 0,-4, 0, 4, 0,-2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-2, 0,-1, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0,-6, 0, 6, 0, 6, 0,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 0,-3, 0, 3, 0, 3, 0,-4, 0, 4, 0,-2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-2, 0,-1, 0,-1, 0},
|
||||
{18,-18,-18,18,-18,18,18,-18,12, 6,-12,-6,-12,-6,12, 6, 9,-9, 9,-9,-9, 9,-9, 9,12,-12,-12,12, 6,-6,-6, 6, 6, 3, 6, 3,-6,-3,-6,-3, 8, 4,-8,-4, 4, 2,-4,-2, 6,-6, 6,-6, 3,-3, 3,-3, 4, 2, 4, 2, 2, 1, 2, 1},
|
||||
{-12,12,12,-12,12,-12,-12,12,-6,-6, 6, 6, 6, 6,-6,-6,-6, 6,-6, 6, 6,-6, 6,-6,-8, 8, 8,-8,-4, 4, 4,-4,-3,-3,-3,-3, 3, 3, 3, 3,-4,-4, 4, 4,-2,-2, 2, 2,-4, 4,-4, 4,-2, 2,-2, 2,-2,-2,-2,-2,-1,-1,-1,-1},
|
||||
{ 2, 0, 0, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{-6, 6, 0, 0, 6,-6, 0, 0,-4,-2, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 3, 0, 0,-3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2,-1, 0, 0,-2,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 4,-4, 0, 0,-4, 4, 0, 0, 2, 2, 0, 0,-2,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 2,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-6, 6, 0, 0, 6,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-4,-2, 0, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-3, 3, 0, 0,-3, 3, 0, 0,-2,-1, 0, 0,-2,-1, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4,-4, 0, 0,-4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0,-2,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 2,-2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0},
|
||||
{-6, 0, 6, 0, 6, 0,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0,-4, 0,-2, 0, 4, 0, 2, 0,-3, 0, 3, 0,-3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-1, 0,-2, 0,-1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0,-6, 0, 6, 0, 6, 0,-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-4, 0,-2, 0, 4, 0, 2, 0,-3, 0, 3, 0,-3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0,-2, 0,-1, 0,-2, 0,-1, 0},
|
||||
{18,-18,-18,18,-18,18,18,-18,12, 6,-12,-6,-12,-6,12, 6,12,-12, 6,-6,-12,12,-6, 6, 9,-9,-9, 9, 9,-9,-9, 9, 8, 4, 4, 2,-8,-4,-4,-2, 6, 3,-6,-3, 6, 3,-6,-3, 6,-6, 3,-3, 6,-6, 3,-3, 4, 2, 2, 1, 4, 2, 2, 1},
|
||||
{-12,12,12,-12,12,-12,-12,12,-6,-6, 6, 6, 6, 6,-6,-6,-8, 8,-4, 4, 8,-8, 4,-4,-6, 6, 6,-6,-6, 6, 6,-6,-4,-4,-2,-2, 4, 4, 2, 2,-3,-3, 3, 3,-3,-3, 3, 3,-4, 4,-2, 2,-4, 4,-2, 2,-2,-2,-1,-1,-2,-2,-1,-1},
|
||||
{ 4, 0,-4, 0,-4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0,-2, 0,-2, 0, 2, 0,-2, 0, 2, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
|
||||
{ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0,-4, 0,-4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0,-2, 0,-2, 0, 2, 0,-2, 0, 2, 0,-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0},
|
||||
{-12,12,12,-12,12,-12,-12,12,-8,-4, 8, 4, 8, 4,-8,-4,-6, 6,-6, 6, 6,-6, 6,-6,-6, 6, 6,-6,-6, 6, 6,-6,-4,-2,-4,-2, 4, 2, 4, 2,-4,-2, 4, 2,-4,-2, 4, 2,-3, 3,-3, 3,-3, 3,-3, 3,-2,-1,-2,-1,-2,-1,-2,-1},
|
||||
{ 8,-8,-8, 8,-8, 8, 8,-8, 4, 4,-4,-4,-4,-4, 4, 4, 4,-4, 4,-4,-4, 4,-4, 4, 4,-4,-4, 4, 4,-4,-4, 4, 2, 2, 2, 2,-2,-2,-2,-2, 2, 2,-2,-2, 2, 2,-2,-2, 2,-2, 2,-2, 2,-2, 2,-2, 1, 1, 1, 1, 1, 1, 1, 1}};
|
||||
|
||||
static int ijk2n(int i, int j, int k) {
|
||||
return(i+4*j+16*k);
|
||||
}
|
||||
|
||||
static void tricubic_get_coeff_stacked(float a[64], float x[64]) {
|
||||
int i,j;
|
||||
for (i=0;i<64;i++) {
|
||||
a[i]=(float)(0.0);
|
||||
for (j=0;j<64;j++) {
|
||||
a[i]+=C[i][j]*x[j];
|
||||
}
|
||||
}
|
||||
return 0.f;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
static void tricubic_get_coeff(float a[64], float f[8], float dfdx[8], float dfdy[8], float dfdz[8], float d2fdxdy[8], float d2fdxdz[8], float d2fdydz[8], float d3fdxdydz[8]) {
|
||||
int i;
|
||||
float x[64];
|
||||
for (i=0;i<8;i++) {
|
||||
x[0+i]=f[i];
|
||||
x[8+i]=dfdx[i];
|
||||
x[16+i]=dfdy[i];
|
||||
x[24+i]=dfdz[i];
|
||||
x[32+i]=d2fdxdy[i];
|
||||
x[40+i]=d2fdxdz[i];
|
||||
x[48+i]=d2fdydz[i];
|
||||
x[56+i]=d3fdxdydz[i];
|
||||
}
|
||||
tricubic_get_coeff_stacked(a,x);
|
||||
}
|
||||
|
||||
static float tricubic_eval(float a[64], float x, float y, float z) {
|
||||
int i,j,k;
|
||||
float ret=(float)(0.0);
|
||||
|
||||
for (i=0;i<4;i++) {
|
||||
for (j=0;j<4;j++) {
|
||||
for (k=0;k<4;k++) {
|
||||
ret+=a[ijk2n(i,j,k)]*pow(x,i)*pow(y,j)*pow(z,k);
|
||||
}
|
||||
}
|
||||
}
|
||||
return(ret);
|
||||
}
|
||||
|
||||
/* tricubic interpolation
|
||||
* from 'libtricubic': http://www.lekien.com/~francois/software/tricubic/
|
||||
* input coordinates must be in bounding box 0.0 - 1.0 */
|
||||
float voxel_sample_tricubic(float *data, int *res, float *co)
|
||||
float voxel_sample_triquadratic(float *data, int *res, float *co)
|
||||
{
|
||||
float xx, yy, zz;
|
||||
int xi,yi,zi;
|
||||
int *n = res;
|
||||
float dx,dy,dz;
|
||||
float a[64];
|
||||
|
||||
xx = co[0] * res[0] - 0.5f;
|
||||
yy = co[1] * res[1] - 0.5f;
|
||||
zz = co[2] * res[2] - 0.5f;
|
||||
|
||||
xi = (int)xx; yi = (int)yy; zi = (int)zz;
|
||||
|
||||
{
|
||||
float fval[8]={data[V_I(xi,yi,zi,n)],data[V_I(xi+1,yi,zi,n)],data[V_I(xi,yi+1,zi,n)],data[V_I(xi+1,yi+1,zi,n)],data[V_I(xi,yi,zi+1,n)],data[V_I(xi+1,yi,zi+1,n)],data[V_I(xi,yi+1,zi+1,n)],data[V_I(xi+1,yi+1,zi+1,n)]};
|
||||
|
||||
float dfdxval[8]={0.5f*(data[V_I(xi+1,yi,zi,n)]-data[V_I(xi-1,yi,zi,n)]),0.5f*(data[V_I(xi+2,yi,zi,n)]-data[V_I(xi,yi,zi,n)]),
|
||||
0.5f*(data[V_I(xi+1,yi+1,zi,n)]-data[V_I(xi-1,yi+1,zi,n)]),0.5f*(data[V_I(xi+2,yi+1,zi,n)]-data[V_I(xi,yi+1,zi,n)]),
|
||||
0.5f*(data[V_I(xi+1,yi,zi+1,n)]-data[V_I(xi-1,yi,zi+1,n)]),0.5f*(data[V_I(xi+2,yi,zi+1,n)]-data[V_I(xi,yi,zi+1,n)]),
|
||||
0.5f*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi-1,yi+1,zi+1,n)]),
|
||||
0.5f*(data[V_I(xi+2,yi+1,zi+1,n)]-data[V_I(xi,yi+1,zi+1,n)])};
|
||||
|
||||
float dfdyval[8]={0.5f*(data[V_I(xi,yi+1,zi,n)]-data[V_I(xi,yi-1,zi,n)]),0.5f*(data[V_I(xi+1,yi+1,zi,n)]-data[V_I(xi+1,yi-1,zi,n)]),
|
||||
0.5f*(data[V_I(xi,yi+2,zi,n)]-data[V_I(xi,yi,zi,n)]),0.5f*(data[V_I(xi+1,yi+2,zi,n)]-data[V_I(xi+1,yi,zi,n)]),
|
||||
0.5f*(data[V_I(xi,yi+1,zi+1,n)]-data[V_I(xi,yi-1,zi+1,n)]),0.5f*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi+1,yi-1,zi+1,n)]),
|
||||
0.5f*(data[V_I(xi,yi+2,zi+1,n)]-data[V_I(xi,yi,zi+1,n)]),
|
||||
0.5f*(data[V_I(xi+1,yi+2,zi+1,n)]-data[V_I(xi+1,yi,zi+1,n)])};
|
||||
|
||||
float dfdzval[8]={0.5f*(data[V_I(xi,yi,zi+1,n)]-data[V_I(xi,yi,zi-1,n)]),0.5f*(data[V_I(xi+1,yi,zi+1,n)]-data[V_I(xi+1,yi,zi-1,n)]),
|
||||
0.5f*(data[V_I(xi,yi+1,zi+1,n)]-data[V_I(xi,yi+1,zi-1,n)]),0.5f*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi+1,yi+1,zi-1,n)]),
|
||||
0.5f*(data[V_I(xi,yi,zi+2,n)]-data[V_I(xi,yi,zi,n)]),0.5f*(data[V_I(xi+1,yi,zi+2,n)]-data[V_I(xi+1,yi,zi,n)]),
|
||||
0.5f*(data[V_I(xi,yi+1,zi+2,n)]-data[V_I(xi,yi+1,zi,n)]),
|
||||
0.5f*(data[V_I(xi+1,yi+1,zi+2,n)]-data[V_I(xi+1,yi+1,zi,n)])};
|
||||
|
||||
float d2fdxdyval[8]={0.25*(data[V_I(xi+1,yi+1,zi,n)]-data[V_I(xi-1,yi+1,zi,n)]-data[V_I(xi+1,yi-1,zi,n)]+data[V_I(xi-1,yi-1,zi,n)]),
|
||||
0.25*(data[V_I(xi+2,yi+1,zi,n)]-data[V_I(xi,yi+1,zi,n)]-data[V_I(xi+2,yi-1,zi,n)]+data[V_I(xi,yi-1,zi,n)]),
|
||||
0.25*(data[V_I(xi+1,yi+2,zi,n)]-data[V_I(xi-1,yi+2,zi,n)]-data[V_I(xi+1,yi,zi,n)]+data[V_I(xi-1,yi,zi,n)]),
|
||||
0.25*(data[V_I(xi+2,yi+2,zi,n)]-data[V_I(xi,yi+2,zi,n)]-data[V_I(xi+2,yi,zi,n)]+data[V_I(xi,yi,zi,n)]),
|
||||
0.25*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi-1,yi+1,zi+1,n)]-data[V_I(xi+1,yi-1,zi+1,n)]+data[V_I(xi-1,yi-1,zi+1,n)]),
|
||||
0.25*(data[V_I(xi+2,yi+1,zi+1,n)]-data[V_I(xi,yi+1,zi+1,n)]-data[V_I(xi+2,yi-1,zi+1,n)]+data[V_I(xi,yi-1,zi+1,n)]),
|
||||
0.25*(data[V_I(xi+1,yi+2,zi+1,n)]-data[V_I(xi-1,yi+2,zi+1,n)]-data[V_I(xi+1,yi,zi+1,n)]+data[V_I(xi-1,yi,zi+1,n)]),
|
||||
0.25*(data[V_I(xi+2,yi+2,zi+1,n)]-data[V_I(xi,yi+2,zi+1,n)]-data[V_I(xi+2,yi,zi+1,n)]+data[V_I(xi,yi,zi+1,n)])};
|
||||
|
||||
float d2fdxdzval[8]={0.25f*(data[V_I(xi+1,yi,zi+1,n)]-data[V_I(xi-1,yi,zi+1,n)]-data[V_I(xi+1,yi,zi-1,n)]+data[V_I(xi-1,yi,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi+2,yi,zi+1,n)]-data[V_I(xi,yi,zi+1,n)]-data[V_I(xi+2,yi,zi-1,n)]+data[V_I(xi,yi,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi-1,yi+1,zi+1,n)]-data[V_I(xi+1,yi+1,zi-1,n)]+data[V_I(xi-1,yi+1,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi+2,yi+1,zi+1,n)]-data[V_I(xi,yi+1,zi+1,n)]-data[V_I(xi+2,yi+1,zi-1,n)]+data[V_I(xi,yi+1,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi,zi+2,n)]-data[V_I(xi-1,yi,zi+2,n)]-data[V_I(xi+1,yi,zi,n)]+data[V_I(xi-1,yi,zi,n)]),
|
||||
0.25f*(data[V_I(xi+2,yi,zi+2,n)]-data[V_I(xi,yi,zi+2,n)]-data[V_I(xi+2,yi,zi,n)]+data[V_I(xi,yi,zi,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi+1,zi+2,n)]-data[V_I(xi-1,yi+1,zi+2,n)]-data[V_I(xi+1,yi+1,zi,n)]+data[V_I(xi-1,yi+1,zi,n)]),
|
||||
0.25f*(data[V_I(xi+2,yi+1,zi+2,n)]-data[V_I(xi,yi+1,zi+2,n)]-data[V_I(xi+2,yi+1,zi,n)]+data[V_I(xi,yi+1,zi,n)])};
|
||||
|
||||
|
||||
float d2fdydzval[8]={0.25f*(data[V_I(xi,yi+1,zi+1,n)]-data[V_I(xi,yi-1,zi+1,n)]-data[V_I(xi,yi+1,zi-1,n)]+data[V_I(xi,yi-1,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi+1,yi-1,zi+1,n)]-data[V_I(xi+1,yi+1,zi-1,n)]+data[V_I(xi+1,yi-1,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi,yi+2,zi+1,n)]-data[V_I(xi,yi,zi+1,n)]-data[V_I(xi,yi+2,zi-1,n)]+data[V_I(xi,yi,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi+2,zi+1,n)]-data[V_I(xi+1,yi,zi+1,n)]-data[V_I(xi+1,yi+2,zi-1,n)]+data[V_I(xi+1,yi,zi-1,n)]),
|
||||
0.25f*(data[V_I(xi,yi+1,zi+2,n)]-data[V_I(xi,yi-1,zi+2,n)]-data[V_I(xi,yi+1,zi,n)]+data[V_I(xi,yi-1,zi,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi+1,zi+2,n)]-data[V_I(xi+1,yi-1,zi+2,n)]-data[V_I(xi+1,yi+1,zi,n)]+data[V_I(xi+1,yi-1,zi,n)]),
|
||||
0.25f*(data[V_I(xi,yi+2,zi+2,n)]-data[V_I(xi,yi,zi+2,n)]-data[V_I(xi,yi+2,zi,n)]+data[V_I(xi,yi,zi,n)]),
|
||||
0.25f*(data[V_I(xi+1,yi+2,zi+2,n)]-data[V_I(xi+1,yi,zi+2,n)]-data[V_I(xi+1,yi+2,zi,n)]+data[V_I(xi+1,yi,zi,n)])};
|
||||
|
||||
|
||||
float d3fdxdydzval[8]={0.125f*(data[V_I(xi+1,yi+1,zi+1,n)]-data[V_I(xi-1,yi+1,zi+1,n)]-data[V_I(xi+1,yi-1,zi+1,n)]+data[V_I(xi-1,yi-1,zi+1,n)]-data[V_I(xi+1,yi+1,zi-1,n)]+data[V_I(xi-1,yi+1,zi-1,n)]+data[V_I(xi+1,yi-1,zi-1,n)]-data[V_I(xi-1,yi-1,zi-1,n)]),
|
||||
0.125f*(data[V_I(xi+2,yi+1,zi+1,n)]-data[V_I(xi,yi+1,zi+1,n)]-data[V_I(xi+2,yi-1,zi+1,n)]+data[V_I(xi,yi-1,zi+1,n)]-data[V_I(xi+2,yi+1,zi-1,n)]+data[V_I(xi,yi+1,zi-1,n)]+data[V_I(xi+2,yi-1,zi-1,n)]-data[V_I(xi,yi-1,zi-1,n)]),
|
||||
0.125f*(data[V_I(xi+1,yi+2,zi+1,n)]-data[V_I(xi-1,yi+2,zi+1,n)]-data[V_I(xi+1,yi,zi+1,n)]+data[V_I(xi-1,yi,zi+1,n)]-data[V_I(xi+1,yi+2,zi-1,n)]+data[V_I(xi-1,yi+2,zi-1,n)]+data[V_I(xi+1,yi,zi-1,n)]-data[V_I(xi-1,yi,zi-1,n)]),
|
||||
0.125f*(data[V_I(xi+2,yi+2,zi+1,n)]-data[V_I(xi,yi+2,zi+1,n)]-data[V_I(xi+2,yi,zi+1,n)]+data[V_I(xi,yi,zi+1,n)]-data[V_I(xi+2,yi+2,zi-1,n)]+data[V_I(xi,yi+2,zi-1,n)]+data[V_I(xi+2,yi,zi-1,n)]-data[V_I(xi,yi,zi-1,n)]),
|
||||
0.125f*(data[V_I(xi+1,yi+1,zi+2,n)]-data[V_I(xi-1,yi+1,zi+2,n)]-data[V_I(xi+1,yi-1,zi+2,n)]+data[V_I(xi-1,yi-1,zi+2,n)]-data[V_I(xi+1,yi+1,zi,n)]+data[V_I(xi-1,yi+1,zi,n)]+data[V_I(xi+1,yi-1,zi,n)]-data[V_I(xi-1,yi-1,zi,n)]),
|
||||
0.125f*(data[V_I(xi+2,yi+1,zi+2,n)]-data[V_I(xi,yi+1,zi+2,n)]-data[V_I(xi+2,yi-1,zi+2,n)]+data[V_I(xi,yi-1,zi+2,n)]-data[V_I(xi+2,yi+1,zi,n)]+data[V_I(xi,yi+1,zi,n)]+data[V_I(xi+2,yi-1,zi,n)]-data[V_I(xi,yi-1,zi,n)]),
|
||||
0.125f*(data[V_I(xi+1,yi+2,zi+2,n)]-data[V_I(xi-1,yi+2,zi+2,n)]-data[V_I(xi+1,yi,zi+2,n)]+data[V_I(xi-1,yi,zi+2,n)]-data[V_I(xi+1,yi+2,zi,n)]+data[V_I(xi-1,yi+2,zi,n)]+data[V_I(xi+1,yi,zi,n)]-data[V_I(xi-1,yi,zi,n)]),
|
||||
0.125f*(data[V_I(xi+2,yi+2,zi+2,n)]-data[V_I(xi,yi+2,zi+2,n)]-data[V_I(xi+2,yi,zi+2,n)]+data[V_I(xi,yi,zi+2,n)]-data[V_I(xi+2,yi+2,zi,n)]+data[V_I(xi,yi+2,zi,n)]+data[V_I(xi+2,yi,zi,n)]-data[V_I(xi,yi,zi,n)])};
|
||||
|
||||
|
||||
tricubic_get_coeff(a,fval,dfdxval,dfdyval,dfdzval,d2fdxdyval,d2fdxdzval,d2fdydzval,d3fdxdydzval);
|
||||
}
|
||||
|
||||
dx = xx-xi;
|
||||
dy = yy-yi;
|
||||
dz = zz-zi;
|
||||
|
||||
return tricubic_eval(a,dx,dy,dz);
|
||||
|
||||
if (data) {
|
||||
|
||||
const float xf = co[0] * res[0], yf = co[1] * res[1], zf = co[2] * res[2];
|
||||
const int x = FLOORI(xf), y = FLOORI(yf), z = FLOORI(zf);
|
||||
|
||||
const int xc[3] = {_clamp(x - 1, 0, res[0] - 1), _clamp(x, 0, res[0] - 1), _clamp(x + 1, 0, res[0] - 1)};
|
||||
const int yc[3] = {res[0] * _clamp(y - 1, 0, res[1] - 1), res[0] * _clamp(y, 0, res[1] - 1), res[0] * _clamp(y + 1, 0, res[1] - 1)};
|
||||
const int zc[3] = {res[0] * res[1] * _clamp(z - 1, 0, res[2] - 1), res[0] * res[1] * _clamp(z, 0, res[2] - 1), res[0] * res[1] * _clamp(z + 1, 0, res[2] - 1)};
|
||||
|
||||
const float dx = xf - (float)x, dy = yf - (float)y, dz = zf - (float)z;
|
||||
const float u[3] = {dx*(0.5f*dx - 1.f) + 0.5f, dx*(1.f - dx) + 0.5f, 0.5f*dx*dx};
|
||||
const float v[3] = {dy*(0.5f*dy - 1.f) + 0.5f, dy*(1.f - dy) + 0.5f, 0.5f*dy*dy};
|
||||
const float w[3] = {dz*(0.5f*dz - 1.f) + 0.5f, dz*(1.f - dz) + 0.5f, 0.5f*dz*dz};
|
||||
|
||||
return w[0] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[0]] + u[1] * data[xc[1] + yc[0] + zc[0]] + u[2] * data[xc[2] + yc[0] + zc[0]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[0]] + u[1] * data[xc[1] + yc[1] + zc[0]] + u[2] * data[xc[2] + yc[1] + zc[0]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[0]] + u[1] * data[xc[1] + yc[2] + zc[0]] + u[2] * data[xc[2] + yc[2] + zc[0]] ) )
|
||||
+ w[1] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[1]] + u[1] * data[xc[1] + yc[0] + zc[1]] + u[2] * data[xc[2] + yc[0] + zc[1]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[1]] + u[1] * data[xc[1] + yc[1] + zc[1]] + u[2] * data[xc[2] + yc[1] + zc[1]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[1]] + u[1] * data[xc[1] + yc[2] + zc[1]] + u[2] * data[xc[2] + yc[2] + zc[1]] ) )
|
||||
+ w[2] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[2]] + u[1] * data[xc[1] + yc[0] + zc[2]] + u[2] * data[xc[2] + yc[0] + zc[2]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[2]] + u[1] * data[xc[1] + yc[1] + zc[2]] + u[2] * data[xc[2] + yc[1] + zc[2]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[2]] + u[1] * data[xc[1] + yc[2] + zc[2]] + u[2] * data[xc[2] + yc[2] + zc[2]] ) );
|
||||
|
||||
}
|
||||
return 0.f;
|
||||
}
|
||||
|
||||
float voxel_sample_tricubic(float *data, int *res, float *co, int bspline)
|
||||
{
|
||||
if (data) {
|
||||
|
||||
const float xf = co[0] * res[0] - 0.5f, yf = co[1] * res[1] - 0.5f, zf = co[2] * res[2] - 0.5f;
|
||||
const int x = FLOORI(xf), y = FLOORI(yf), z = FLOORI(zf);
|
||||
|
||||
const int xc[4] = {_clamp(x - 1, 0, res[0] - 1), _clamp(x, 0, res[0] - 1), _clamp(x + 1, 0, res[0] - 1), _clamp(x + 2, 0, res[0] - 1)};
|
||||
const int yc[4] = {res[0] * _clamp(y - 1, 0, res[1] - 1), res[0] * _clamp(y, 0, res[1] - 1), res[0] * _clamp(y + 1, 0, res[1] - 1), res[0] * _clamp(y + 2, 0, res[1] - 1)};
|
||||
const int zc[4] = {res[0] * res[1] * _clamp(z - 1, 0, res[2] - 1), res[0] * res[1] * _clamp(z, 0, res[2] - 1), res[0] * res[1] * _clamp(z + 1, 0, res[2] - 1), res[0] * res[1] * _clamp(z + 2, 0, res[2] - 1)};
|
||||
|
||||
const float dx = xf - (float)x, dy = yf - (float)y, dz = zf - (float)z;
|
||||
|
||||
float u[4], v[4], w[4];
|
||||
if (bspline) { // B-Spline
|
||||
u[0] = (((-1.f/6.f)*dx + 0.5f)*dx - 0.5f)*dx + (1.f/6.f);
|
||||
u[1] = (( 0.5f*dx - 1.f )*dx )*dx + (2.f/3.f);
|
||||
u[2] = (( -0.5f*dx + 0.5f)*dx + 0.5f)*dx + (1.f/6.f);
|
||||
u[3] = ( 1.f/6.f)*dx*dx*dx;
|
||||
v[0] = (((-1.f/6.f)*dy + 0.5f)*dy - 0.5f)*dy + (1.f/6.f);
|
||||
v[1] = (( 0.5f*dy - 1.f )*dy )*dy + (2.f/3.f);
|
||||
v[2] = (( -0.5f*dy + 0.5f)*dy + 0.5f)*dy + (1.f/6.f);
|
||||
v[3] = ( 1.f/6.f)*dy*dy*dy;
|
||||
w[0] = (((-1.f/6.f)*dz + 0.5f)*dz - 0.5f)*dz + (1.f/6.f);
|
||||
w[1] = (( 0.5f*dz - 1.f )*dz )*dz + (2.f/3.f);
|
||||
w[2] = (( -0.5f*dz + 0.5f)*dz + 0.5f)*dz + (1.f/6.f);
|
||||
w[3] = ( 1.f/6.f)*dz*dz*dz;
|
||||
}
|
||||
else { // Catmull-Rom
|
||||
u[0] = ((-0.5f*dx + 1.0f)*dx - 0.5f)*dx;
|
||||
u[1] = (( 1.5f*dx - 2.5f)*dx )*dx + 1.0f;
|
||||
u[2] = ((-1.5f*dx + 2.0f)*dx + 0.5f)*dx;
|
||||
u[3] = (( 0.5f*dx - 0.5f)*dx )*dx;
|
||||
v[0] = ((-0.5f*dy + 1.0f)*dy - 0.5f)*dy;
|
||||
v[1] = (( 1.5f*dy - 2.5f)*dy )*dy + 1.0f;
|
||||
v[2] = ((-1.5f*dy + 2.0f)*dy + 0.5f)*dy;
|
||||
v[3] = (( 0.5f*dy - 0.5f)*dy )*dy;
|
||||
w[0] = ((-0.5f*dz + 1.0f)*dz - 0.5f)*dz;
|
||||
w[1] = (( 1.5f*dz - 2.5f)*dz )*dz + 1.0f;
|
||||
w[2] = ((-1.5f*dz + 2.0f)*dz + 0.5f)*dz;
|
||||
w[3] = (( 0.5f*dz - 0.5f)*dz )*dz;
|
||||
}
|
||||
|
||||
return w[0] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[0]] + u[1] * data[xc[1] + yc[0] + zc[0]] + u[2] * data[xc[2] + yc[0] + zc[0]] + u[3] * data[xc[3] + yc[0] + zc[0]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[0]] + u[1] * data[xc[1] + yc[1] + zc[0]] + u[2] * data[xc[2] + yc[1] + zc[0]] + u[3] * data[xc[3] + yc[1] + zc[0]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[0]] + u[1] * data[xc[1] + yc[2] + zc[0]] + u[2] * data[xc[2] + yc[2] + zc[0]] + u[3] * data[xc[3] + yc[2] + zc[0]] )
|
||||
+ v[3] * ( u[0] * data[xc[0] + yc[3] + zc[0]] + u[1] * data[xc[1] + yc[3] + zc[0]] + u[2] * data[xc[2] + yc[3] + zc[0]] + u[3] * data[xc[3] + yc[3] + zc[0]] ) )
|
||||
+ w[1] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[1]] + u[1] * data[xc[1] + yc[0] + zc[1]] + u[2] * data[xc[2] + yc[0] + zc[1]] + u[3] * data[xc[3] + yc[0] + zc[1]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[1]] + u[1] * data[xc[1] + yc[1] + zc[1]] + u[2] * data[xc[2] + yc[1] + zc[1]] + u[3] * data[xc[3] + yc[1] + zc[1]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[1]] + u[1] * data[xc[1] + yc[2] + zc[1]] + u[2] * data[xc[2] + yc[2] + zc[1]] + u[3] * data[xc[3] + yc[2] + zc[1]] )
|
||||
+ v[3] * ( u[0] * data[xc[0] + yc[3] + zc[1]] + u[1] * data[xc[1] + yc[3] + zc[1]] + u[2] * data[xc[2] + yc[3] + zc[1]] + u[3] * data[xc[3] + yc[3] + zc[1]] ) )
|
||||
+ w[2] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[2]] + u[1] * data[xc[1] + yc[0] + zc[2]] + u[2] * data[xc[2] + yc[0] + zc[2]] + u[3] * data[xc[3] + yc[0] + zc[2]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[2]] + u[1] * data[xc[1] + yc[1] + zc[2]] + u[2] * data[xc[2] + yc[1] + zc[2]] + u[3] * data[xc[3] + yc[1] + zc[2]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[2]] + u[1] * data[xc[1] + yc[2] + zc[2]] + u[2] * data[xc[2] + yc[2] + zc[2]] + u[3] * data[xc[3] + yc[2] + zc[2]] )
|
||||
+ v[3] * ( u[0] * data[xc[0] + yc[3] + zc[2]] + u[1] * data[xc[1] + yc[3] + zc[2]] + u[2] * data[xc[2] + yc[3] + zc[2]] + u[3] * data[xc[3] + yc[3] + zc[2]] ) )
|
||||
+ w[3] * ( v[0] * ( u[0] * data[xc[0] + yc[0] + zc[3]] + u[1] * data[xc[1] + yc[0] + zc[3]] + u[2] * data[xc[2] + yc[0] + zc[3]] + u[3] * data[xc[3] + yc[0] + zc[3]] )
|
||||
+ v[1] * ( u[0] * data[xc[0] + yc[1] + zc[3]] + u[1] * data[xc[1] + yc[1] + zc[3]] + u[2] * data[xc[2] + yc[1] + zc[3]] + u[3] * data[xc[3] + yc[1] + zc[3]] )
|
||||
+ v[2] * ( u[0] * data[xc[0] + yc[2] + zc[3]] + u[1] * data[xc[1] + yc[2] + zc[3]] + u[2] * data[xc[2] + yc[2] + zc[3]] + u[3] * data[xc[3] + yc[2] + zc[3]] )
|
||||
+ v[3] * ( u[0] * data[xc[0] + yc[3] + zc[3]] + u[1] * data[xc[1] + yc[3] + zc[3]] + u[2] * data[xc[2] + yc[3] + zc[3]] + u[3] * data[xc[3] + yc[3] + zc[3]] ) );
|
||||
|
||||
}
|
||||
return 0.f;
|
||||
}
|
||||
|
|
|
|||
|
|
@ -515,7 +515,10 @@ typedef struct TexMapping {
|
|||
/* interpolation */
|
||||
#define TEX_VD_NEARESTNEIGHBOR 0
|
||||
#define TEX_VD_LINEAR 1
|
||||
#define TEX_VD_TRICUBIC 2
|
||||
#define TEX_VD_QUADRATIC 2
|
||||
#define TEX_VD_TRICUBIC_CATROM 3
|
||||
#define TEX_VD_TRICUBIC_BSPLINE 4
|
||||
#define TEX_VD_TRICUBIC_SLOW 5
|
||||
|
||||
/* file format */
|
||||
#define TEX_VD_BLENDERVOXEL 0
|
||||
|
|
|
|||
|
|
@ -1496,10 +1496,12 @@ static void rna_def_texture_voxeldata(BlenderRNA *brna)
|
|||
|
||||
static EnumPropertyItem interpolation_type_items[] = {
|
||||
{TEX_VD_NEARESTNEIGHBOR, "NEREASTNEIGHBOR", 0, "Nearest Neighbor", "No interpolation, fast but blocky and low quality."},
|
||||
{TEX_VD_LINEAR, "TRILINEAR", 0, "Trilinear", "Good smoothness and speed"},
|
||||
{TEX_VD_TRICUBIC, "TRICUBIC", 0, "Tricubic", "High quality interpolation, but slow"},
|
||||
{TEX_VD_LINEAR, "TRILINEAR", 0, "Linear", "Good smoothness and speed"},
|
||||
{TEX_VD_QUADRATIC, "QUADRATIC", 0, "Quadratic", "Mid-range quality and speed"},
|
||||
{TEX_VD_TRICUBIC_CATROM, "TRICUBIC_CATROM", 0, "Cubic Catmull-Rom", "High quality interpolation, but slower"},
|
||||
{TEX_VD_TRICUBIC_BSPLINE, "TRICUBIC_BSPLINE", 0, "Cubic B-Spline", "Smoothed high quality interpolation, but slower"},
|
||||
{0, NULL, 0, NULL, NULL}};
|
||||
|
||||
|
||||
static EnumPropertyItem file_format_items[] = {
|
||||
{TEX_VD_BLENDERVOXEL, "BLENDER_VOXEL", 0, "Blender Voxel", "Default binary voxel file format"},
|
||||
{TEX_VD_RAW_8BIT, "RAW_8BIT", 0, "8 bit RAW", "8 bit greyscale binary data"},
|
||||
|
|
|
|||
|
|
@ -322,8 +322,12 @@ int voxeldatatex(struct Tex *tex, float *texvec, struct TexResult *texres)
|
|||
case TEX_VD_LINEAR:
|
||||
texres->tin = voxel_sample_trilinear(vd->dataset, vd->resol, co);
|
||||
break;
|
||||
case TEX_VD_TRICUBIC:
|
||||
texres->tin = voxel_sample_tricubic(vd->dataset, vd->resol, co);
|
||||
case TEX_VD_QUADRATIC:
|
||||
texres->tin = voxel_sample_triquadratic(vd->dataset, vd->resol, co);
|
||||
break;
|
||||
case TEX_VD_TRICUBIC_CATROM:
|
||||
case TEX_VD_TRICUBIC_BSPLINE:
|
||||
texres->tin = voxel_sample_tricubic(vd->dataset, vd->resol, co, (vd->interp_type == TEX_VD_TRICUBIC_BSPLINE));
|
||||
break;
|
||||
}
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue