395 lines
21 KiB
C++
395 lines
21 KiB
C++
#include "MarchingCube.h"
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#include <math.h>
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using namespace glm;
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static const int edgeTable[256] = { 0x0, 0x109, 0x203, 0x30a, 0x406, 0x50f,
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0x605, 0x70c, 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00,
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0x190, 0x99, 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, 0x99c, 0x895,
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0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, 0x230, 0x339, 0x33, 0x13a,
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0x636, 0x73f, 0x435, 0x53c, 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33,
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0xc39, 0xd30, 0x3a0, 0x2a9, 0x1a3, 0xaa, 0x7a6, 0x6af, 0x5a5, 0x4ac,
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0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, 0x460, 0x569,
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0x663, 0x76a, 0x66, 0x16f, 0x265, 0x36c, 0xc6c, 0xd65, 0xe6f, 0xf66,
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0x86a, 0x963, 0xa69, 0xb60, 0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0xff,
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0x3f5, 0x2fc, 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0,
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0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55, 0x15c, 0xe5c, 0xf55,
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0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, 0x7c0, 0x6c9, 0x5c3, 0x4ca,
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0x3c6, 0x2cf, 0x1c5, 0xcc, 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3,
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0x9c9, 0x8c0, 0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc,
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0xcc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0, 0x950, 0x859,
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0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, 0x15c, 0x55, 0x35f, 0x256,
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0x55a, 0x453, 0x759, 0x650, 0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff,
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0xcf5, 0xdfc, 0x2fc, 0x3f5, 0xff, 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0,
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0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c, 0x36c, 0x265,
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0x16f, 0x66, 0x76a, 0x663, 0x569, 0x460, 0xca0, 0xda9, 0xea3, 0xfaa,
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0x8a6, 0x9af, 0xaa5, 0xbac, 0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa, 0x1a3,
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0x2a9, 0x3a0, 0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c,
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0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x33, 0x339, 0x230, 0xe90, 0xf99,
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0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, 0x69c, 0x795, 0x49f, 0x596,
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0x29a, 0x393, 0x99, 0x190, 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f,
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0x905, 0x80c, 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0 };
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static const int triTable[256][16] = { { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1, -1, -1, -1, -1 }, { 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1, -1, -1 }, { 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
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{ 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
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8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 9,
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2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2,
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8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, { 3, 11,
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2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
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11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
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9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1,
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11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, { 3,
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10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0,
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10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, { 3,
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9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, { 9, 8,
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10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 7,
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8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
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{ 4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1, 9,
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8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 1, 9, 4,
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7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 10, 8, 4,
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7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 4, 7, 3, 0, 4,
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1, 2, 10, -1, -1, -1, -1, -1, -1, -1 }, { 9, 2, 10, 9, 0, 2, 8,
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4, 7, -1, -1, -1, -1, -1, -1, -1 }, { 2, 10, 9, 2, 9, 7, 2, 7,
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3, 7, 9, 4, -1, -1, -1, -1 }, { 8, 4, 7, 3, 11, 2, -1, -1, -1,
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-1, -1, -1, -1, -1, -1, -1 }, { 11, 4, 7, 11, 2, 4, 2, 0, 4, -1,
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-1, -1, -1, -1, -1, -1 }, { 9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1,
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-1, -1, -1, -1, -1 }, { 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1,
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-1, -1, -1, -1 }, { 3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1,
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-1, -1, -1, -1 }, { 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1,
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-1, -1, -1 }, { 4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1,
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-1, -1 }, { 4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1,
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-1, -1 }, { 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1,
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-1 }, { 1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1 },
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{ 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, { 5, 2, 10,
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5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, { 2, 10, 5, 3,
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2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 }, { 9, 5, 4, 2, 3, 11,
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-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 11, 2, 0, 8, 11,
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4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, { 0, 5, 4, 0, 1, 5, 2, 3,
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11, -1, -1, -1, -1, -1, -1, -1 }, { 2, 1, 5, 2, 5, 8, 2, 8, 11,
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4, 8, 5, -1, -1, -1, -1 }, { 10, 3, 11, 10, 1, 3, 9, 5, 4, -1,
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-1, -1, -1, -1, -1, -1 }, { 4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11,
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10, -1, -1, -1, -1 }, { 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3,
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-1, -1, -1, -1 }, { 5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1,
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-1, -1, -1, -1 }, { 9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1,
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-1, -1, -1, -1 }, { 9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1,
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-1, -1, -1 }, { 0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1,
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-1, -1 }, { 1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1,
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-1 }, { 10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 }, {
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8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 }, { 2, 10,
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5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, { 7, 9, 5, 7,
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8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 7, 9, 7,
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2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, { 2, 3, 11, 0, 1, 8, 1,
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7, 8, 1, 5, 7, -1, -1, -1, -1 }, { 11, 2, 1, 11, 1, 7, 7, 1, 5,
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-1, -1, -1, -1, -1, -1, -1 }, { 9, 5, 8, 8, 5, 7, 10, 1, 3, 10,
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3, 11, -1, -1, -1, -1 }, { 5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10,
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11, 10, 0, -1 }, { 11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7,
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0, -1 }, { 11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1, -1 }, { 0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1,
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-1, -1, -1 }, { 9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1,
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-1, -1, -1 }, { 1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1,
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-1, -1 }, { 1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1,
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-1 }, { 9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 },
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{ 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 }, { 2, 3, 11, 10,
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6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 11, 0, 8, 11,
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2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1, 9, 2, 3,
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11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, { 5, 10, 6, 1, 9, 2,
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9, 11, 2, 9, 8, 11, -1, -1, -1, -1 }, { 6, 3, 11, 6, 5, 3, 5, 1,
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3, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 11, 0, 11, 5, 0, 5, 1,
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5, 11, 6, -1, -1, -1, -1 }, { 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5,
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9, -1, -1, -1, -1 }, { 6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1,
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-1, -1, -1, -1 }, { 5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1,
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-1, -1, -1, -1 }, { 4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1,
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-1, -1, -1 }, { 1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1,
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-1, -1 },
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{ 10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, { 6, 1, 2, 6,
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5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 5, 5, 2, 6,
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3, 0, 4, 3, 4, 7, -1, -1, -1, -1 }, { 8, 4, 7, 9, 0, 5, 0, 6, 5,
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0, 2, 6, -1, -1, -1, -1 }, { 7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6,
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2, 6, 9, -1 }, { 3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1,
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-1, -1, -1 }, { 5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1,
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-1, -1 },
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{ 0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1 }, { 9, 2, 1, 9,
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11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1 }, { 8, 4, 7, 3, 11, 5,
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3, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, { 5, 1, 11, 5, 11, 6, 1, 0,
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11, 7, 11, 4, 0, 4, 11, -1 }, { 0, 5, 9, 0, 6, 5, 0, 3, 6, 11,
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6, 3, 8, 4, 7, -1 }, { 6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1,
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-1, -1, -1 }, { 10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1,
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-1, -1, -1 }, { 4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1,
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-1, -1 }, { 10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1,
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-1 }, { 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1 }, {
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1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0,
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8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1 }, { 0, 2, 4, 4, 2,
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6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 8, 3, 2, 8, 2, 4,
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4, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, { 10, 4, 9, 10, 6, 4, 11,
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2, 3, -1, -1, -1, -1, -1, -1, -1 }, { 0, 8, 2, 2, 8, 11, 4, 9,
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10, 4, 10, 6, -1, -1, -1, -1 }, { 3, 11, 2, 0, 1, 6, 0, 6, 4, 6,
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1, 10, -1, -1, -1, -1 }, { 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11,
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8, 11, 1, -1 }, { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1,
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-1, -1 }, { 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1 },
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{ 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, { 6, 4, 8,
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11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 7, 10, 6,
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7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, { 0, 7, 3, 0,
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10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1 }, { 10, 6, 7, 1, 10,
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7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1 }, { 10, 6, 7, 10, 7, 1, 1,
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7, 3, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 6, 1, 6, 8, 1, 8, 9,
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8, 6, 7, -1, -1, -1, -1 }, { 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3,
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7, 3, 9, -1 }, { 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1,
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-1, -1 }, { 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1,
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-1, -1 }, { 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1,
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-1 }, { 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1 }, {
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1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1 }, { 11, 2,
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1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1 }, { 8, 9, 6, 8,
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6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 }, { 0, 9, 1, 11, 6, 7, -1,
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-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 7, 8, 0, 7, 0, 6, 3, 11,
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0, 11, 6, 0, -1, -1, -1, -1 }, { 7, 11, 6, -1, -1, -1, -1, -1,
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-1, -1, -1, -1, -1, -1, -1, -1 }, { 7, 6, 11, -1, -1, -1, -1,
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-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0, 8, 11, 7, 6, -1,
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-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1, 9, 11, 7, 6, -1,
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-1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 8, 1, 9, 8, 3, 1, 11, 7,
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6, -1, -1, -1, -1, -1, -1, -1 }, { 10, 1, 2, 6, 11, 7, -1, -1,
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-1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2, 10, 3, 0, 8, 6, 11, 7,
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-1, -1, -1, -1, -1, -1, -1 }, { 2, 9, 0, 2, 10, 9, 6, 11, 7, -1,
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-1, -1, -1, -1, -1, -1 }, { 6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9,
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8, -1, -1, -1, -1 }, { 7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1,
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-1, -1, -1, -1 }, { 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1,
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-1, -1, -1 }, { 2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1,
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-1, -1 },
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{ 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 }, { 10, 7, 6, 10,
|
|
1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, { 10, 7, 6, 1, 7,
|
|
10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 }, { 0, 3, 7, 0, 7, 10, 0,
|
|
10, 9, 6, 10, 7, -1, -1, -1, -1 }, { 7, 6, 10, 7, 10, 8, 8, 10,
|
|
9, -1, -1, -1, -1, -1, -1, -1 }, { 6, 8, 4, 11, 8, 6, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 6, 11, 3, 0, 6, 0, 4, 6,
|
|
-1, -1, -1, -1, -1, -1, -1 }, { 8, 6, 11, 8, 4, 6, 9, 0, 1, -1,
|
|
-1, -1, -1, -1, -1, -1 }, { 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6,
|
|
-1, -1, -1, -1 }, { 6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1,
|
|
-1, -1, -1 }, { 1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1,
|
|
-1, -1 }, { 4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1,
|
|
-1 }, { 10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 }, {
|
|
8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, { 0, 4,
|
|
2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 9, 0,
|
|
2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 }, { 1, 9, 4, 1, 4, 2,
|
|
2, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, { 8, 1, 3, 8, 6, 1, 8, 4,
|
|
6, 6, 10, 1, -1, -1, -1, -1 }, { 10, 1, 0, 10, 0, 6, 6, 0, 4,
|
|
-1, -1, -1, -1, -1, -1, -1 }, { 4, 6, 3, 4, 3, 8, 6, 10, 3, 0,
|
|
3, 9, 10, 9, 3, -1 }, { 10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1, -1 }, { 4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1, -1 }, { 0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1,
|
|
-1, -1, -1 }, { 11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1,
|
|
-1 },
|
|
{ 9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, { 6, 11, 7,
|
|
1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 }, { 7, 6, 11, 5, 4,
|
|
10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 }, { 3, 4, 8, 3, 5, 4, 3,
|
|
2, 5, 10, 5, 2, 11, 7, 6, -1 }, { 7, 2, 3, 7, 6, 2, 5, 4, 9, -1,
|
|
-1, -1, -1, -1, -1, -1 }, { 9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7,
|
|
-1, -1, -1, -1 }, { 3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1,
|
|
-1, -1 }, { 6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1 }, {
|
|
9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1 }, { 1, 6,
|
|
10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1 }, { 4, 0, 10, 4, 10,
|
|
5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1 }, { 7, 6, 10, 7, 10, 8, 5,
|
|
4, 10, 4, 8, 10, -1, -1, -1, -1 }, { 6, 9, 5, 6, 11, 9, 11, 8,
|
|
9, -1, -1, -1, -1, -1, -1, -1 }, { 3, 6, 11, 0, 6, 3, 0, 5, 6,
|
|
0, 9, 5, -1, -1, -1, -1 }, { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6,
|
|
11, -1, -1, -1, -1 }, { 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1,
|
|
-1, -1, -1 }, { 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10,
|
|
-1 }, { 11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 }, {
|
|
6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 }, { 5, 8,
|
|
9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 }, { 9, 5, 6, 9, 6,
|
|
0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, { 1, 5, 8, 1, 8, 0, 5,
|
|
6, 8, 3, 8, 2, 6, 2, 8, -1 }, { 1, 5, 6, 2, 1, 6, -1, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1 }, { 1, 3, 6, 1, 6, 10, 3, 8, 6, 5,
|
|
6, 9, 8, 9, 6, -1 }, { 10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1,
|
|
-1, -1, -1 }, { 0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1,
|
|
-1, -1, -1 }, { 10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1,
|
|
-1, -1, -1 }, { 11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1,
|
|
-1, -1 },
|
|
{ 0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 }, { 9, 7, 5, 9,
|
|
2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 }, { 7, 5, 2, 7, 2, 11,
|
|
5, 9, 2, 3, 2, 8, 9, 8, 2, -1 }, { 2, 5, 10, 2, 3, 5, 3, 7, 5,
|
|
-1, -1, -1, -1, -1, -1, -1 }, { 8, 2, 0, 8, 5, 2, 8, 7, 5, 10,
|
|
2, 5, -1, -1, -1, -1 }, { 9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2,
|
|
-1, -1, -1, -1 }, { 9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5,
|
|
2, -1 }, { 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1,
|
|
-1 }, { 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, { 9, 8, 7, 5,
|
|
9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 5, 8, 4, 5,
|
|
10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, { 5, 0, 4, 5,
|
|
11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1 }, { 0, 1, 9, 8, 4,
|
|
10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1 }, { 10, 11, 4, 10, 4,
|
|
5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1 }, { 2, 5, 1, 2, 8, 5, 2, 11,
|
|
8, 4, 5, 8, -1, -1, -1, -1 }, { 0, 4, 11, 0, 11, 3, 4, 5, 11, 2,
|
|
11, 1, 5, 1, 11, -1 }, { 0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8,
|
|
11, 8, 5, -1 }, { 9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1,
|
|
-1, -1, -1 }, { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1,
|
|
-1 },
|
|
{ 5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, { 3, 10, 2,
|
|
3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1 }, { 5, 10, 2, 5, 2, 4,
|
|
1, 9, 2, 9, 4, 2, -1, -1, -1, -1 }, { 8, 4, 5, 8, 5, 3, 3, 5, 1,
|
|
-1, -1, -1, -1, -1, -1, -1 }, { 0, 4, 5, 1, 0, 5, -1, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1 }, { 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3,
|
|
5, -1, -1, -1, -1 }, { 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1, -1 }, { 4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1,
|
|
-1, -1, -1, -1, -1 }, { 0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11,
|
|
-1, -1, -1, -1 }, { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1,
|
|
-1, -1, -1 }, { 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4,
|
|
-1 }, { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1 },
|
|
{ 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1 }, { 11, 7, 4, 11,
|
|
4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1 }, { 11, 7, 4, 11, 4,
|
|
2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1 }, { 2, 9, 10, 2, 7, 9, 2,
|
|
3, 7, 7, 4, 9, -1, -1, -1, -1 }, { 9, 10, 7, 9, 7, 4, 10, 2, 7,
|
|
8, 7, 0, 2, 0, 7, -1 }, { 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10,
|
|
0, 4, 0, 10, -1 }, { 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1 }, { 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1,
|
|
-1, -1, -1 }, { 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1,
|
|
-1 },
|
|
{ 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 4, 8, 7,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 9, 10,
|
|
8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0,
|
|
9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, { 0, 1,
|
|
10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1 }, { 3, 1,
|
|
10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 2,
|
|
11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, { 3, 0, 9,
|
|
3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1 }, { 0, 2, 11, 8, 0,
|
|
11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 3, 2, 11, -1,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2, 3, 8, 2,
|
|
8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, { 9, 10, 2, 0, 9,
|
|
2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 2, 3, 8, 2, 8,
|
|
10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 }, { 1, 10, 2, -1, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 1, 3, 8, 9, 1, 8,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 9, 1, -1, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { 0, 3, 8, -1, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, { -1, -1, -1, -1, -1,
|
|
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 } };
|
|
|
|
/*
|
|
Linearly interpolate the position where an isosurface cuts
|
|
an edge between two vertices, each with their own scalar value
|
|
*/
|
|
XYZ VertexInterp(double isolevel, XYZ p1, XYZ p2, double valp1, double valp2) {
|
|
double mu;
|
|
XYZ p;
|
|
float dx = p2.x - p1.x;
|
|
float dy = p2.y - p1.y;
|
|
float dz = p2.z - p1.z;
|
|
float eps = sqrt(dx*dx+dy*dy+dz*dz) * 0.05;
|
|
if (fabs(isolevel - valp1) < eps)
|
|
return (p1);
|
|
if (fabs(isolevel - valp2) < eps)
|
|
return (p2);
|
|
if (fabs(valp1 - valp2) < 0.0001)
|
|
return (p1);
|
|
|
|
mu = (isolevel - valp1) / (valp2 - valp1);
|
|
p.x = p1.x + mu * dx;
|
|
p.y = p1.y + mu * dy;
|
|
p.z = p1.z + mu * dz;
|
|
|
|
return (p);
|
|
}
|
|
|
|
/*
|
|
Given a grid cell and an isolevel, calculate the triangular
|
|
facets required to represent the isosurface through the cell.
|
|
Return the number of triangular facets, the array "triangles"
|
|
will be loaded up with the vertices at most 5 triangular facets.
|
|
0 will be returned if the grid cell is either totally above
|
|
of totally below the isolevel.
|
|
*/
|
|
int Polygonise(GRIDCELL &grid, double isolevel, TRIANGLE *triangles) {
|
|
int i, ntriang;
|
|
int cubeindex;
|
|
XYZ vertlist[12];
|
|
|
|
/*
|
|
Determine the index into the edge table which
|
|
tells us which vertices are inside of the surface
|
|
*/
|
|
cubeindex = 0;
|
|
if (grid.val[0] < isolevel)
|
|
cubeindex |= 1;
|
|
if (grid.val[1] < isolevel)
|
|
cubeindex |= 2;
|
|
if (grid.val[2] < isolevel)
|
|
cubeindex |= 4;
|
|
if (grid.val[3] < isolevel)
|
|
cubeindex |= 8;
|
|
if (grid.val[4] < isolevel)
|
|
cubeindex |= 16;
|
|
if (grid.val[5] < isolevel)
|
|
cubeindex |= 32;
|
|
if (grid.val[6] < isolevel)
|
|
cubeindex |= 64;
|
|
if (grid.val[7] < isolevel)
|
|
cubeindex |= 128;
|
|
|
|
/* Cube is entirely in/out of the surface */
|
|
if (edgeTable[cubeindex] == 0)
|
|
return (0);
|
|
|
|
/* Find the vertices where the surface intersects the cube */
|
|
if (edgeTable[cubeindex] & 1)
|
|
vertlist[0] = VertexInterp(isolevel, grid.p[0], grid.p[1], grid.val[0],
|
|
grid.val[1]);
|
|
if (edgeTable[cubeindex] & 2)
|
|
vertlist[1] = VertexInterp(isolevel, grid.p[1], grid.p[2], grid.val[1],
|
|
grid.val[2]);
|
|
if (edgeTable[cubeindex] & 4)
|
|
vertlist[2] = VertexInterp(isolevel, grid.p[2], grid.p[3], grid.val[2],
|
|
grid.val[3]);
|
|
if (edgeTable[cubeindex] & 8)
|
|
vertlist[3] = VertexInterp(isolevel, grid.p[3], grid.p[0], grid.val[3],
|
|
grid.val[0]);
|
|
if (edgeTable[cubeindex] & 16)
|
|
vertlist[4] = VertexInterp(isolevel, grid.p[4], grid.p[5], grid.val[4],
|
|
grid.val[5]);
|
|
if (edgeTable[cubeindex] & 32)
|
|
vertlist[5] = VertexInterp(isolevel, grid.p[5], grid.p[6], grid.val[5],
|
|
grid.val[6]);
|
|
if (edgeTable[cubeindex] & 64)
|
|
vertlist[6] = VertexInterp(isolevel, grid.p[6], grid.p[7], grid.val[6],
|
|
grid.val[7]);
|
|
if (edgeTable[cubeindex] & 128)
|
|
vertlist[7] = VertexInterp(isolevel, grid.p[7], grid.p[4], grid.val[7],
|
|
grid.val[4]);
|
|
if (edgeTable[cubeindex] & 256)
|
|
vertlist[8] = VertexInterp(isolevel, grid.p[0], grid.p[4], grid.val[0],
|
|
grid.val[4]);
|
|
if (edgeTable[cubeindex] & 512)
|
|
vertlist[9] = VertexInterp(isolevel, grid.p[1], grid.p[5], grid.val[1],
|
|
grid.val[5]);
|
|
if (edgeTable[cubeindex] & 1024)
|
|
vertlist[10] = VertexInterp(isolevel, grid.p[2], grid.p[6], grid.val[2],
|
|
grid.val[6]);
|
|
if (edgeTable[cubeindex] & 2048)
|
|
vertlist[11] = VertexInterp(isolevel, grid.p[3], grid.p[7], grid.val[3],
|
|
grid.val[7]);
|
|
|
|
/* Create the triangle */
|
|
ntriang = 0;
|
|
for (i = 0; triTable[cubeindex][i] != -1; i += 3) {
|
|
triangles[ntriang].p[0] = vertlist[triTable[cubeindex][i]];
|
|
triangles[ntriang].p[1] = vertlist[triTable[cubeindex][i + 1]];
|
|
triangles[ntriang].p[2] = vertlist[triTable[cubeindex][i + 2]];
|
|
ntriang++;
|
|
}
|
|
|
|
return (ntriang);
|
|
}
|