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MeshSimplification

oxiphysics_geometry::topology

Struct MeshSimplification 

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pub struct MeshSimplification;
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Quadric Error Metric (QEM) mesh simplification utilities.

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impl MeshSimplification

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pub fn quadric_error_matrix( _vertex: [f64; 3], faces: &[[[f64; 3]; 3]], ) -> [[f64; 4]; 4]

Compute the quadric error matrix Q for a vertex.

For each adjacent face, a plane equation [a,b,c,d] (ax+by+cz+d=0) contributes the outer product pp^T to Q. Returns a 4×4 matrix.

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pub fn edge_collapse_cost( v1: [f64; 3], v2: [f64; 3], q1: [[f64; 4]; 4], q2: [[f64; 4]; 4], ) -> f64

Edge collapse cost using combined quadric: v^T (Q1+Q2) v.

The optimal collapse position is taken as the midpoint (v1+v2)/2.

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pub fn simplify_qem( positions: &mut Vec<[f64; 3]>, triangles: &mut Vec<[usize; 3]>, target_count: usize, )

Greedy QEM simplification: collapse edges until target_count faces remain.

This is a simplified greedy approach suitable for small meshes.

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