Analyzing and Synthesizing Images by Evolving Curves

10 years 5 months ago
Analyzing and Synthesizing Images by Evolving Curves
Abstract. Numerical analysis of conservation laws plays an important role in the implementation of curve evolution equations. This paper reviews the relevant concepts in numerical analysis and the relation between curve evolution, Hamilton-Jacobi partial differential equations, and differential conservation laws. This close relation enables us to introduce finite difference approximations, based on the theory of conservation laws, into curve evolution. It is shown how curve evolution serves as a powerful tool for image analysis, and how these mathematical relations enable us to construct efficient and accurate numerical schemes. Some examples demonstrate the importance of the CFL condition as a necessary condition for the stability of the numerical schemes.
Alfred M. Bruckstein
Added 08 Aug 2010
Updated 08 Aug 2010
Type Conference
Year 1994
Where ICIP
Authors Alfred M. Bruckstein
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