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. © 2008 The Eurographics Association and Blackwell Publishing Ltd.


Published in:
Computer Graphics Forum, 27, 2, 241 - 250
Presented at:
Computer Graphics Forum, 9600 Garsington Road, Oxford, OX4 2XG, United Kingdom
Year:
2008
ISSN:
01677055
Keywords:
Laboratories:




 Record created 2010-06-14, last modified 2018-03-17

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