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diff --git a/thirdparty/meshoptimizer/meshoptimizer.h b/thirdparty/meshoptimizer/meshoptimizer.h
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index be4b765d97..463fad29da 100644
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--- a/thirdparty/meshoptimizer/meshoptimizer.h
+++ b/thirdparty/meshoptimizer/meshoptimizer.h
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@@ -328,6 +328,11 @@ MESHOPTIMIZER_EXPERIMENTAL void meshopt_encodeFilterExp(void* destination, size_
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*/
MESHOPTIMIZER_EXPERIMENTAL size_t meshopt_simplify(unsigned int* destination, const unsigned int* indices, size_t index_count, const float* vertex_positions, size_t vertex_count, size_t vertex_positions_stride, size_t target_index_count, float target_error, float* result_error);
+/**
+ * Experimental: Mesh simplifier with attribute metric; attributes follow xyz position data atm (vertex data must contain 3 + attribute_count floats per vertex)
+ */
+MESHOPTIMIZER_EXPERIMENTAL size_t meshopt_simplifyWithAttributes(unsigned int* destination, const unsigned int* indices, size_t index_count, const float* vertex_data, size_t vertex_count, size_t vertex_stride, size_t target_index_count, float target_error, float* result_error, const float* attributes, const float* attribute_weights, size_t attribute_count);
+
/**
* Experimental: Mesh simplifier (sloppy)
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* Reduces the number of triangles in the mesh, sacrificing mesh appearance for simplification performance
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diff --git a/thirdparty/meshoptimizer/simplifier.cpp b/thirdparty/meshoptimizer/simplifier.cpp
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index a74b08a97d..5e92e2dc73 100644
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--- a/thirdparty/meshoptimizer/simplifier.cpp
+++ b/thirdparty/meshoptimizer/simplifier.cpp
@@ -20,6 +20,8 @@
#define TRACESTATS(i) (void)0
#endif
+#define ATTRIBUTES 8
+
// This work is based on:
// Michael Garland and Paul S. Heckbert. Surface simplification using quadric error metrics. 1997
// Michael Garland. Quadric-based polygonal surface simplification. 1999
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@@ -371,6 +373,10 @@ static void classifyVertices(unsigned char* result, unsigned int* loop, unsigned
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struct Vector3
{
float x, y, z;
+
+#if ATTRIBUTES
+ float a[ATTRIBUTES];
+#endif
};
static float rescalePositions(Vector3* result, const float* vertex_positions_data, size_t vertex_count, size_t vertex_positions_stride)
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@@ -427,6 +433,13 @@ struct Quadric
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float a10, a20, a21;
float b0, b1, b2, c;
float w;
+
+#if ATTRIBUTES
+ float gx[ATTRIBUTES];
+ float gy[ATTRIBUTES];
+ float gz[ATTRIBUTES];
+ float gw[ATTRIBUTES];
+#endif
};
struct Collapse
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@@ -469,6 +482,16 @@ static void quadricAdd(Quadric& Q, const Quadric& R)
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Q.b2 += R.b2;
Q.c += R.c;
Q.w += R.w;
+
+#if ATTRIBUTES
+ for (int k = 0; k < ATTRIBUTES; ++k)
+ {
+ Q.gx[k] += R.gx[k];
+ Q.gy[k] += R.gy[k];
+ Q.gz[k] += R.gz[k];
+ Q.gw[k] += R.gw[k];
+ }
+#endif
}
static float quadricError(const Quadric& Q, const Vector3& v)
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@@ -494,6 +517,17 @@ static float quadricError(const Quadric& Q, const Vector3& v)
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r += ry * v.y;
r += rz * v.z;
+#if ATTRIBUTES
+ // see quadricUpdateAttributes for general derivation; here we need to add the parts of (eval(pos) - attr)^2 that depend on attr
+ for (int k = 0; k < ATTRIBUTES; ++k)
+ {
+ float a = v.a[k];
+
+ r += a * a * Q.w;
+ r -= 2 * a * (v.x * Q.gx[k] + v.y * Q.gy[k] + v.z * Q.gz[k] + Q.gw[k]);
+ }
+#endif
+
float s = Q.w == 0.f ? 0.f : 1.f / Q.w;
return fabsf(r) * s;
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@@ -517,6 +551,13 @@ static void quadricFromPlane(Quadric& Q, float a, float b, float c, float d, flo
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Q.b2 = c * dw;
Q.c = d * dw;
Q.w = w;
+
+#if ATTRIBUTES
+ memset(Q.gx, 0, sizeof(Q.gx));
+ memset(Q.gy, 0, sizeof(Q.gy));
+ memset(Q.gz, 0, sizeof(Q.gz));
+ memset(Q.gw, 0, sizeof(Q.gw));
+#endif
}
static void quadricFromPoint(Quadric& Q, float x, float y, float z, float w)
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@@ -569,6 +610,84 @@ static void quadricFromTriangleEdge(Quadric& Q, const Vector3& p0, const Vector3
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quadricFromPlane(Q, normal.x, normal.y, normal.z, -distance, length * weight);
}
+#if ATTRIBUTES
+static void quadricUpdateAttributes(Quadric& Q, const Vector3& p0, const Vector3& p1, const Vector3& p2, float w)
+{
+ // for each attribute we want to encode the following function into the quadric:
+ // (eval(pos) - attr)^2
+ // where eval(pos) interpolates attribute across the triangle like so:
+ // eval(pos) = pos.x * gx + pos.y * gy + pos.z * gz + gw
+ // where gx/gy/gz/gw are gradients
+ Vector3 p10 = {p1.x - p0.x, p1.y - p0.y, p1.z - p0.z};
+ Vector3 p20 = {p2.x - p0.x, p2.y - p0.y, p2.z - p0.z};
+
+ // we compute gradients using barycentric coordinates; barycentric coordinates can be computed as follows:
+ // v = (d11 * d20 - d01 * d21) / denom
+ // w = (d00 * d21 - d01 * d20) / denom
+ // u = 1 - v - w
+ // here v0, v1 are triangle edge vectors, v2 is a vector from point to triangle corner, and dij = dot(vi, vj)
+ const Vector3& v0 = p10;
+ const Vector3& v1 = p20;
+ float d00 = v0.x * v0.x + v0.y * v0.y + v0.z * v0.z;
+ float d01 = v0.x * v1.x + v0.y * v1.y + v0.z * v1.z;
+ float d11 = v1.x * v1.x + v1.y * v1.y + v1.z * v1.z;
+ float denom = d00 * d11 - d01 * d01;
+ float denomr = denom == 0 ? 0.f : 1.f / denom;
+
+ // precompute gradient factors
+ // these are derived by directly computing derivative of eval(pos) = a0 * u + a1 * v + a2 * w and factoring out common factors that are shared between attributes
+ float gx1 = (d11 * v0.x - d01 * v1.x) * denomr;
+ float gx2 = (d00 * v1.x - d01 * v0.x) * denomr;
+ float gy1 = (d11 * v0.y - d01 * v1.y) * denomr;
+ float gy2 = (d00 * v1.y - d01 * v0.y) * denomr;
+ float gz1 = (d11 * v0.z - d01 * v1.z) * denomr;
+ float gz2 = (d00 * v1.z - d01 * v0.z) * denomr;
+
+ for (int k = 0; k < ATTRIBUTES; ++k)
+ {
+ float a0 = p0.a[k], a1 = p1.a[k], a2 = p2.a[k];
+
+ // compute gradient of eval(pos) for x/y/z/w
+ // the formulas below are obtained by directly computing derivative of eval(pos) = a0 * u + a1 * v + a2 * w
+ float gx = gx1 * (a1 - a0) + gx2 * (a2 - a0);
+ float gy = gy1 * (a1 - a0) + gy2 * (a2 - a0);
+ float gz = gz1 * (a1 - a0) + gz2 * (a2 - a0);
+ float gw = a0 - p0.x * gx - p0.y * gy - p0.z * gz;
+
+ // quadric encodes (eval(pos)-attr)^2; this means that the resulting expansion needs to compute, for example, pos.x * pos.y * K
+ // since quadrics already encode factors for pos.x * pos.y, we can accumulate almost everything in basic quadric fields
+ Q.a00 += w * (gx * gx);
+ Q.a11 += w * (gy * gy);
+ Q.a22 += w * (gz * gz);
+
+ Q.a10 += w * (gy * gx);
+ Q.a20 += w * (gz * gx);
+ Q.a21 += w * (gz * gy);
+
+ Q.b0 += w * (gx * gw);
+ Q.b1 += w * (gy * gw);
+ Q.b2 += w * (gz * gw);
+
+ Q.c += w * (gw * gw);
+
+ // the only remaining sum components are ones that depend on attr; these will be addded during error evaluation, see quadricError
+ Q.gx[k] = w * gx;
+ Q.gy[k] = w * gy;
+ Q.gz[k] = w * gz;
+ Q.gw[k] = w * gw;
+
+#if TRACE > 2
+ printf("attr%d: %e %e %e\n",
+ k,
+ (gx * p0.x + gy * p0.y + gz * p0.z + gw - a0),
+ (gx * p1.x + gy * p1.y + gz * p1.z + gw - a1),
+ (gx * p2.x + gy * p2.y + gz * p2.z + gw - a2)
+ );
+#endif
+ }
+}
+#endif
+
static void fillFaceQuadrics(Quadric* vertex_quadrics, const unsigned int* indices, size_t index_count, const Vector3* vertex_positions, const unsigned int* remap)
{
for (size_t i = 0; i < index_count; i += 3)
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@@ -580,6 +699,9 @@ static void fillFaceQuadrics(Quadric* vertex_quadrics, const unsigned int* indic
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Quadric Q;
quadricFromTriangle(Q, vertex_positions[i0], vertex_positions[i1], vertex_positions[i2], 1.f);
+#if ATTRIBUTES
+ quadricUpdateAttributes(Q, vertex_positions[i0], vertex_positions[i1], vertex_positions[i2], Q.w);
+#endif
quadricAdd(vertex_quadrics[remap[i0]], Q);
quadricAdd(vertex_quadrics[remap[i1]], Q);
quadricAdd(vertex_quadrics[remap[i2]], Q);
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@@ -1273,13 +1395,19 @@ MESHOPTIMIZER_API unsigned int* meshopt_simplifyDebugLoopBack = 0;
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#endif
size_t meshopt_simplify(unsigned int* destination, const unsigned int* indices, size_t index_count, const float* vertex_positions_data, size_t vertex_count, size_t vertex_positions_stride, size_t target_index_count, float target_error, float* out_result_error)
+{
+ return meshopt_simplifyWithAttributes(destination, indices, index_count, vertex_positions_data, vertex_count, vertex_positions_stride, target_index_count, target_error, out_result_error, 0, 0, 0);
+}
+
+size_t meshopt_simplifyWithAttributes(unsigned int* destination, const unsigned int* indices, size_t index_count, const float* vertex_data, size_t vertex_count, size_t vertex_stride, size_t target_index_count, float target_error, float* out_result_error, const float* attributes, const float* attribute_weights, size_t attribute_count)
{
using namespace meshopt;
assert(index_count % 3 == 0);
- assert(vertex_positions_stride > 0 && vertex_positions_stride <= 256);
- assert(vertex_positions_stride % sizeof(float) == 0);
+ assert(vertex_stride > 0 && vertex_stride <= 256);
+ assert(vertex_stride % sizeof(float) == 0);
assert(target_index_count <= index_count);
+ assert(attribute_count <= ATTRIBUTES);
meshopt_Allocator allocator;
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@@ -1293,7 +1421,7 @@ size_t meshopt_simplify(unsigned int* destination, const unsigned int* indices,
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// build position remap that maps each vertex to the one with identical position
unsigned int* remap = allocator.allocate<unsigned int>(vertex_count);
unsigned int* wedge = allocator.allocate<unsigned int>(vertex_count);
- buildPositionRemap(remap, wedge, vertex_positions_data, vertex_count, vertex_positions_stride, allocator);
+ buildPositionRemap(remap, wedge, vertex_data, vertex_count, vertex_stride, allocator);
// classify vertices; vertex kind determines collapse rules, see kCanCollapse
unsigned char* vertex_kind = allocator.allocate<unsigned char>(vertex_count);
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@@ -1317,7 +1445,21 @@ size_t meshopt_simplify(unsigned int* destination, const unsigned int* indices,
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#endif
Vector3* vertex_positions = allocator.allocate<Vector3>(vertex_count);
- rescalePositions(vertex_positions, vertex_positions_data, vertex_count, vertex_positions_stride);
+ rescalePositions(vertex_positions, vertex_data, vertex_count, vertex_stride);
+
+#if ATTRIBUTES
+ for (size_t i = 0; i < vertex_count; ++i)
+ {
+ memset(vertex_positions[i].a, 0, sizeof(vertex_positions[i].a));
+
+ for (size_t k = 0; k < attribute_count; ++k)
+ {
+ float a = attributes[i * attribute_count + k];
+
+ vertex_positions[i].a[k] = a * attribute_weights[k];
+ }
+ }
+#endif
Quadric* vertex_quadrics = allocator.allocate<Quadric>(vertex_count);
memset(vertex_quadrics, 0, vertex_count * sizeof(Quadric));
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@@ -1409,7 +1551,9 @@ size_t meshopt_simplify(unsigned int* destination, const unsigned int* indices,
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// result_error is quadratic; we need to remap it back to linear
if (out_result_error)
+ {
*out_result_error = sqrtf(result_error);
+ }
return result_count;
}