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Weights for Computing Vertex Normals from Facet Normals

Abstract

I propose a new equation to estimate the normal at a vertex of a polygonal approximation to a smooth surface, as a weighted sum of the normals to the facets surrounding the vertex. It accounts for the difference in size of these facets by assigning larger weights for smaller facets. When tested on random cubic polynomial surfaces, it is superior to other popular weighting methods.

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