Surface Mesh Discrete Curvature Estimators
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Please use this identifier to cite or link to this publication: http://hdl.handle.net/1926/1494
Computing local curvatures of a given surface is important for applications, shape analysis, surface segmentation, meshing, and surface evolution. For a given smooth surface (with a given analytical expression which is sufficiently differentiable) curvatures can be analytically and directly computed. However in real applications, one often deals with a surface mesh which is an insufficiently differentiable approximation, and thus curvatures must be estimated. Based on a surface mesh data structure (code{itk::QuadEdgeMesh}~cite{itkQE}), we introduce and implement curvature estimators following the approach of Meyeretalcite{Meyer02}. We show on a sphere that this method results in more stable curvature approximations than the commonly used discrete estimators (as used in VTK: code{vtkCurvatures}).
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plus Automatic Testing Results by Insight-Journal Dashboard on Mon Sep 8 09:55:39 2008 for revision #1
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plus Very useful filters, clear and concise paper by Luis Ibanez on 2008-09-30 17:10:43 for revision #1
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Categories: Filtering, Mathematics, Mesh
Keywords: surface mesh, curvature
Toolkits: ITK (moved into the toolkit), CMake
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ISSN 2327-770X
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