Curvature-Domain Shape Processing

13 years 6 months ago
Curvature-Domain Shape Processing
We propose a framework for 3D geometry processing that provides direct access to surface curvature to facilitate advanced shape editing, filtering, and synthesis algorithms. The central idea is to map a given surface to the curvature domain by evaluating its principle curvatures, apply filtering and editing operations to the curvature distribution, and reconstruct the resulting surface using an optimization approach. Our system allows the user to prescribe arbitrary principle curvature values anywhere on the surface. The optimization solves a nonlinear least-squares problem to find the surface that best matches the desired target curvatures while preserving important properties of the original shape. We demonstrate the effectiveness of this processing metaphor with several applications, including anisotropic smoothing, feature enhancement, and multi-scale curvature editing. Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and...
Michael Eigensatz, Robert W. Sumner, Mark Pauly
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CGF
Authors Michael Eigensatz, Robert W. Sumner, Mark Pauly
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