Curvature Regularization for Curves and Surfaces in a Global Optimization Framework
Författare
Summary, in English
Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we propose several improvements to a recently proposed framework based on global optimization. We identify and solve an issue with extraneous arcs in the original formulation by introducing region consistency constraints. The mesh geometry is analyzed both from a theoretical and experimental viewpoint and hexagonal meshes are shown to be superior. We demonstrate that adaptively generated meshes significantly improve the performance. Our final contribution is that we generalize the framework to handle mean curvature regularization for 3D surface completion and segmentation.
Avdelning/ar
Publiceringsår
2011
Språk
Engelska
Publikation/Tidskrift/Serie
Lecture Notes in Computer Science
Fulltext
Länkar
Dokumenttyp
Konferensbidrag
Förlag
Springer
Ämne
- Mathematics
- Computer Vision and Robotics (Autonomous Systems)
Conference name
8th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR), 2011
Conference date
2011-07-25 - 2011-07-27
Conference place
Saint Petersburg, Russian Federation
Status
Inpress
Forskningsgrupp
- Mathematical Imaging Group