1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
|
diff --git a/thirdparty/meshoptimizer/simplifier.cpp b/thirdparty/meshoptimizer/simplifier.cpp
index 0f10ebef4b..cf5db4e119 100644
--- a/thirdparty/meshoptimizer/simplifier.cpp
+++ b/thirdparty/meshoptimizer/simplifier.cpp
@@ -20,7 +20,7 @@
#define TRACESTATS(i) (void)0
#endif
-#define ATTRIBUTES 8
+#define ATTRIBUTES 3
// This work is based on:
// Michael Garland and Paul S. Heckbert. Surface simplification using quadric error metrics. 1997
@@ -445,6 +445,7 @@ struct Collapse
float error;
unsigned int errorui;
};
+ float distance_error;
};
static float normalize(Vector3& v)
@@ -525,6 +526,34 @@ static float quadricError(const Quadric& Q, const Vector3& v)
return fabsf(r) * s;
}
+static float quadricErrorNoAttributes(const Quadric& Q, const Vector3& v)
+{
+ float rx = Q.b0;
+ float ry = Q.b1;
+ float rz = Q.b2;
+
+ rx += Q.a10 * v.y;
+ ry += Q.a21 * v.z;
+ rz += Q.a20 * v.x;
+
+ rx *= 2;
+ ry *= 2;
+ rz *= 2;
+
+ rx += Q.a00 * v.x;
+ ry += Q.a11 * v.y;
+ rz += Q.a22 * v.z;
+
+ float r = Q.c;
+ r += rx * v.x;
+ r += ry * v.y;
+ r += rz * v.z;
+
+ float s = Q.w == 0.f ? 0.f : 1.f / Q.w;
+
+ return fabsf(r) * s;
+}
+
static void quadricFromPlane(Quadric& Q, float a, float b, float c, float d, float w)
{
float aw = a * w;
@@ -680,7 +709,7 @@ static void quadricUpdateAttributes(Quadric& Q, const Vector3& p0, const Vector3
}
#endif
-static void fillFaceQuadrics(Quadric* vertex_quadrics, const unsigned int* indices, size_t index_count, const Vector3* vertex_positions, const unsigned int* remap)
+static void fillFaceQuadrics(Quadric* vertex_quadrics, Quadric* vertex_no_attrib_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)
{
@@ -690,6 +719,9 @@ static void fillFaceQuadrics(Quadric* vertex_quadrics, const unsigned int* indic
Quadric Q;
quadricFromTriangle(Q, vertex_positions[i0], vertex_positions[i1], vertex_positions[i2], 1.f);
+ quadricAdd(vertex_no_attrib_quadrics[remap[i0]], Q);
+ quadricAdd(vertex_no_attrib_quadrics[remap[i1]], Q);
+ quadricAdd(vertex_no_attrib_quadrics[remap[i2]], Q);
#if ATTRIBUTES
quadricUpdateAttributes(Q, vertex_positions[i0], vertex_positions[i1], vertex_positions[i2], Q.w);
@@ -700,7 +732,7 @@ static void fillFaceQuadrics(Quadric* vertex_quadrics, const unsigned int* indic
}
}
-static void fillEdgeQuadrics(Quadric* vertex_quadrics, const unsigned int* indices, size_t index_count, const Vector3* vertex_positions, const unsigned int* remap, const unsigned char* vertex_kind, const unsigned int* loop, const unsigned int* loopback)
+static void fillEdgeQuadrics(Quadric* vertex_quadrics, Quadric* vertex_no_attrib_quadrics, const unsigned int* indices, size_t index_count, const Vector3* vertex_positions, const unsigned int* remap, const unsigned char* vertex_kind, const unsigned int* loop, const unsigned int* loopback)
{
for (size_t i = 0; i < index_count; i += 3)
{
@@ -744,6 +776,9 @@ static void fillEdgeQuadrics(Quadric* vertex_quadrics, const unsigned int* indic
quadricAdd(vertex_quadrics[remap[i0]], Q);
quadricAdd(vertex_quadrics[remap[i1]], Q);
+
+ quadricAdd(vertex_no_attrib_quadrics[remap[i0]], Q);
+ quadricAdd(vertex_no_attrib_quadrics[remap[i1]], Q);
}
}
}
@@ -848,7 +883,7 @@ static size_t pickEdgeCollapses(Collapse* collapses, const unsigned int* indices
return collapse_count;
}
-static void rankEdgeCollapses(Collapse* collapses, size_t collapse_count, const Vector3* vertex_positions, const Quadric* vertex_quadrics, const unsigned int* remap)
+static void rankEdgeCollapses(Collapse* collapses, size_t collapse_count, const Vector3* vertex_positions, const Quadric* vertex_quadrics, const Quadric* vertex_no_attrib_quadrics, const unsigned int* remap)
{
for (size_t i = 0; i < collapse_count; ++i)
{
@@ -868,10 +903,14 @@ static void rankEdgeCollapses(Collapse* collapses, size_t collapse_count, const
float ei = quadricError(qi, vertex_positions[i1]);
float ej = quadricError(qj, vertex_positions[j1]);
+ const Quadric& naqi = vertex_no_attrib_quadrics[remap[i0]];
+ const Quadric& naqj = vertex_no_attrib_quadrics[remap[j0]];
+
// pick edge direction with minimal error
c.v0 = ei <= ej ? i0 : j0;
c.v1 = ei <= ej ? i1 : j1;
c.error = ei <= ej ? ei : ej;
+ c.distance_error = ei <= ej ? quadricErrorNoAttributes(naqi, vertex_positions[i1]) : quadricErrorNoAttributes(naqj, vertex_positions[j1]);
}
}
@@ -968,7 +1007,7 @@ static void sortEdgeCollapses(unsigned int* sort_order, const Collapse* collapse
}
}
-static size_t performEdgeCollapses(unsigned int* collapse_remap, unsigned char* collapse_locked, Quadric* vertex_quadrics, const Collapse* collapses, size_t collapse_count, const unsigned int* collapse_order, const unsigned int* remap, const unsigned int* wedge, const unsigned char* vertex_kind, const Vector3* vertex_positions, const EdgeAdjacency& adjacency, size_t triangle_collapse_goal, float error_limit, float& result_error)
+static size_t performEdgeCollapses(unsigned int* collapse_remap, unsigned char* collapse_locked, Quadric* vertex_quadrics, Quadric* vertex_no_attrib_quadrics, const Collapse* collapses, size_t collapse_count, const unsigned int* collapse_order, const unsigned int* remap, const unsigned int* wedge, const unsigned char* vertex_kind, const Vector3* vertex_positions, const EdgeAdjacency& adjacency, size_t triangle_collapse_goal, float error_limit, float& result_error)
{
size_t edge_collapses = 0;
size_t triangle_collapses = 0;
@@ -1030,6 +1069,7 @@ static size_t performEdgeCollapses(unsigned int* collapse_remap, unsigned char*
assert(collapse_remap[r1] == r1);
quadricAdd(vertex_quadrics[r1], vertex_quadrics[r0]);
+ quadricAdd(vertex_no_attrib_quadrics[r1], vertex_no_attrib_quadrics[r0]);
if (vertex_kind[i0] == Kind_Complex)
{
@@ -1067,7 +1107,7 @@ static size_t performEdgeCollapses(unsigned int* collapse_remap, unsigned char*
triangle_collapses += (vertex_kind[i0] == Kind_Border) ? 1 : 2;
edge_collapses++;
- result_error = result_error < c.error ? c.error : result_error;
+ result_error = result_error < c.distance_error ? c.distance_error : result_error;
}
#if TRACE
@@ -1455,9 +1495,11 @@ size_t meshopt_simplifyWithAttributes(unsigned int* destination, const unsigned
Quadric* vertex_quadrics = allocator.allocate<Quadric>(vertex_count);
memset(vertex_quadrics, 0, vertex_count * sizeof(Quadric));
+ Quadric* vertex_no_attrib_quadrics = allocator.allocate<Quadric>(vertex_count);
+ memset(vertex_no_attrib_quadrics, 0, vertex_count * sizeof(Quadric));
- fillFaceQuadrics(vertex_quadrics, indices, index_count, vertex_positions, remap);
- fillEdgeQuadrics(vertex_quadrics, indices, index_count, vertex_positions, remap, vertex_kind, loop, loopback);
+ fillFaceQuadrics(vertex_quadrics, vertex_no_attrib_quadrics, indices, index_count, vertex_positions, remap);
+ fillEdgeQuadrics(vertex_quadrics, vertex_no_attrib_quadrics, indices, index_count, vertex_positions, remap, vertex_kind, loop, loopback);
if (result != indices)
memcpy(result, indices, index_count * sizeof(unsigned int));
@@ -1488,7 +1530,7 @@ size_t meshopt_simplifyWithAttributes(unsigned int* destination, const unsigned
if (edge_collapse_count == 0)
break;
- rankEdgeCollapses(edge_collapses, edge_collapse_count, vertex_positions, vertex_quadrics, remap);
+ rankEdgeCollapses(edge_collapses, edge_collapse_count, vertex_positions, vertex_quadrics, vertex_no_attrib_quadrics, remap);
#if TRACE > 1
dumpEdgeCollapses(edge_collapses, edge_collapse_count, vertex_kind);
@@ -1507,7 +1549,7 @@ size_t meshopt_simplifyWithAttributes(unsigned int* destination, const unsigned
printf("pass %d: ", int(pass_count++));
#endif
- size_t collapses = performEdgeCollapses(collapse_remap, collapse_locked, vertex_quadrics, edge_collapses, edge_collapse_count, collapse_order, remap, wedge, vertex_kind, vertex_positions, adjacency, triangle_collapse_goal, error_limit, result_error);
+ size_t collapses = performEdgeCollapses(collapse_remap, collapse_locked, vertex_quadrics, vertex_no_attrib_quadrics, edge_collapses, edge_collapse_count, collapse_order, remap, wedge, vertex_kind, vertex_positions, adjacency, triangle_collapse_goal, error_limit, result_error);
// no edges can be collapsed any more due to hitting the error limit or triangle collapse limit
if (collapses == 0)
|