Computing vertex normals from polygonal facets
Journal of Graphics Tools
Weights for computing vertex normals from facet normals
Journal of Graphics Tools
Computer Aided Geometric Design
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Estimating normal vectors and curvatures by centroid weights
Computer Aided Geometric Design
Continuous Shading of Curved Surfaces
IEEE Transactions on Computers
New computation of normal vector and curvature
WSEAS Transactions on Computers
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The local geometric properties such as curvature and normal vetor play important roles in analyzing the local shape of objects. The weighted normal vector methods are applied to estimate the curvatures on surface of meshes. However, these apporoaches still cause some serious problems, such as when two adjacent triangles are of co-planarity or the shape of triangles of the mesh is irregular. In this paper, we propose an efficient algorithm which is able to compute the normal vectors more accurately and is available to meshes of arbitrary topology. Our method uses the conformal mapping which resembles the local geometric properties synthetically, and the mean value coordinates which may smoothly represent a relationship with the adjacent vertices. It is confirmed by experiment that the normal vector of our algorithm is more accurate than that of the previous methods.