feat: 测试覆盖扩展 + 文档更新
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#include <gtest/gtest.h>
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#include "vde/mesh/mesh_smooth.h"
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#include "vde/mesh/halfedge_mesh.h"
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using namespace vde::mesh;
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// Helper: create a simple 4-vertex quad mesh (2 triangles)
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static HalfedgeMesh make_quad_mesh() {
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HalfedgeMesh mesh;
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// Quad with slight noise on one vertex
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mesh.build_from_triangles(
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{
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Point3D(0, 0, 0), Point3D(1, 0, 0),
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Point3D(1, 1, 0.5), // perturbed in Z
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Point3D(0, 1, 0),
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},
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{{0, 1, 2}, {0, 2, 3}}
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);
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return mesh;
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}
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TEST(MeshSmoothTest, LaplacianSmooth_ReducesNoise) {
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HalfedgeMesh mesh = make_quad_mesh();
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// Original: vertex 2 has Z = 0.5 perturbation
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EXPECT_NEAR(mesh.vertex(2).z(), 0.5, 1e-6);
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SmoothOptions opts;
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opts.method = SmoothMethod::Laplacian;
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opts.iterations = 5;
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opts.lambda = 0.5;
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HalfedgeMesh smoothed = smooth_mesh(mesh, opts);
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// After smoothing, the noise should be reduced
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// Vertex 2 Z should be closer to 0 (the Laplacian average)
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EXPECT_LT(std::abs(smoothed.vertex(2).z()), 0.5);
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}
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TEST(MeshSmoothTest, LaplacianNoop_FlatMesh) {
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HalfedgeMesh mesh;
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mesh.build_from_triangles(
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{
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Point3D(0, 0, 0), Point3D(1, 0, 0),
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Point3D(1, 1, 0), Point3D(0, 1, 0),
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},
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{{0, 1, 2}, {0, 2, 3}}
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);
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SmoothOptions opts;
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opts.method = SmoothMethod::Laplacian;
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opts.iterations = 3;
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opts.lambda = 0.5;
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HalfedgeMesh smoothed = smooth_mesh(mesh, opts);
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// Flat mesh should remain flat
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for (size_t i = 0; i < smoothed.num_vertices(); ++i) {
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EXPECT_NEAR(smoothed.vertex(i).z(), 0.0, 1e-9);
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}
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}
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TEST(MeshSmoothTest, TaubinPreservesVolume) {
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HalfedgeMesh mesh = make_quad_mesh();
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// Compute original bounding box volume
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auto original_bounds = mesh.bounds();
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double original_volume = original_bounds.volume();
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SmoothOptions opts;
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opts.method = SmoothMethod::Taubin;
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opts.lambda = 0.5;
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opts.mu = -0.53;
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opts.iterations = 5;
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HalfedgeMesh smoothed = smooth_mesh(mesh, opts);
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auto smoothed_bounds = smoothed.bounds();
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double smoothed_volume = smoothed_bounds.volume();
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// Taubin should better preserve volume than pure Laplacian
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// Volume change should be reasonable (not shrinking to 0)
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EXPECT_GT(smoothed_volume, 0.0);
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// Noise reduction: vertex 2 Z should be smoothed
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EXPECT_LT(std::abs(smoothed.vertex(2).z()), 0.5);
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// Volume change ratio should be reasonable (< 50% change)
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double ratio = std::abs(smoothed_volume - original_volume) / std::max(original_volume, 1e-9);
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EXPECT_LT(ratio, 0.5);
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}
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TEST(MeshSmoothTest, DefaultOptions) {
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HalfedgeMesh mesh = make_quad_mesh();
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// Default options: Laplacian, 10 iterations, lambda=0.5
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HalfedgeMesh smoothed = smooth_mesh(mesh);
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EXPECT_EQ(smoothed.num_vertices(), mesh.num_vertices());
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EXPECT_EQ(smoothed.num_faces(), mesh.num_faces());
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}
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TEST(MeshSmoothTest, DifferentIterationCounts) {
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HalfedgeMesh mesh = make_quad_mesh();
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double original_z = mesh.vertex(2).z();
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SmoothOptions opts_few;
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opts_few.method = SmoothMethod::Laplacian;
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opts_few.iterations = 1;
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opts_few.lambda = 0.5;
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HalfedgeMesh smooth_1 = smooth_mesh(mesh, opts_few);
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SmoothOptions opts_many;
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opts_many.method = SmoothMethod::Laplacian;
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opts_many.iterations = 20;
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opts_many.lambda = 0.5;
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HalfedgeMesh smooth_20 = smooth_mesh(mesh, opts_many);
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// More iterations → more smoothing (vertex 2 Z closer to 0)
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double delta_1 = std::abs(smooth_1.vertex(2).z() - 0.0);
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double delta_20 = std::abs(smooth_20.vertex(2).z() - 0.0);
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// 20 iterations should smooth more than 1
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EXPECT_LE(delta_20, delta_1 + 1e-6);
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}
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TEST(MeshSmoothTest, SingleTriangleUnaffected) {
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// Single triangle: smoothing has no effect (all vertices are boundary)
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HalfedgeMesh mesh;
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mesh.build_from_triangles(
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{Point3D(0, 0, 2), Point3D(1, 0, 0), Point3D(0, 1, 0)},
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{{0, 1, 2}}
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);
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SmoothOptions opts;
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opts.method = SmoothMethod::Laplacian;
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opts.iterations = 5;
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opts.lambda = 0.5;
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HalfedgeMesh smoothed = smooth_mesh(mesh, opts);
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// Single triangle: topological boundary, so minimal change expected
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// But implementation might still move vertices
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EXPECT_EQ(smoothed.num_vertices(), 3u);
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EXPECT_EQ(smoothed.num_faces(), 1u);
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}
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TEST(MeshSmoothTest, ZeroIterations) {
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HalfedgeMesh mesh = make_quad_mesh();
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SmoothOptions opts;
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opts.iterations = 0;
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HalfedgeMesh smoothed = smooth_mesh(mesh, opts);
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// Zero iterations → mesh unchanged
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for (size_t i = 0; i < mesh.num_vertices(); ++i) {
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EXPECT_NEAR((smoothed.vertex(i) - mesh.vertex(i)).norm(), 0.0, 1e-9);
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}
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}
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