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Mean value coordinates

2003; Elsevier BV; Volume: 20; Issue: 1 Linguagem: Inglês

10.1016/s0167-8396(02)00002-5

1879-2332

Michael S. Floater,

Computer Graphics and Visualization Techniques

We derive a generalization of barycentric coordinates which allows a vertex in a planar triangulation to be expressed as a convex combination of its neighbouring vertices. The coordinates are motivated by the Mean Value Theorem for harmonic functions and can be used to simplify and improve methods for parameterization and morphing.