Alexander Belyaev
ABSTRACT
Curvature is a central concept in the mathematical theory of shape [1]. Being one of the most important intrinsic characteristics of shape, curvature measures deviation from flatness. Visualization and analysis of curvature-based shape characteristics are key components of the shape analysis and understanding process. In this study, we deal with such curvature-based surface features as the focal surfaces, skeleton, and ridges and demonstrate their applications in shape analysis and processing.
- J. J. Koenderink. Solid Shape. MIT Press, 1990. Google Scholar
Digital Library
- Y. Ohtake, A. Belyaev, and H.-P. Seidel. Ridge-valley lines on meshes via implicit surface fitting. ACM Transactions on Graphics, 23(3):609--612, August 2004. Proc. ACM SIGGRAPH 2004. Google ScholarDigital Library
- I. R. Porteous. Geometric Differentiation for the Intelligence of Curves and Surfaces. Cambridge University Press, Cambridge, 1994.Google Scholar
- Focal surfaces, skeletons, and ridges for shape analysis and processing
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