Barycentric Coordinate Mapping and Its Application in Uniform Texture Mapping

Based on available barycentric coordinate mappings,a so-called UAM （uniform area mapping） barycentric coordinate mapping method is proposed.It uses such a weight as the barycentric coordinate,which is the sum of two ratios of the edge and the height of a neighboring vertex corresponding to a given inner vertex in a triangle mesh.Analyses and derivation of UAM are given.The UAM is used in uniform texture mapping of complex 3D meshes through two steps：firstly an area barycentric coordinate mapping is used to map a 3D mesh into a square,then the UAM is used to map the non-uniform mesh square to a uniform mesh square.After calculating the texture coordinates in the uniform mesh,a fairly uniform texture mapping can then be realized for complex 3D meshes that only use one texture image.Experiments and comparisons are taken with representative 3D meshes,which reveals that our method has obvious improvement in uniform texture mapping than available conformal mapping methods and authalic mapping methods.The algorithm is simple,stable and fast.