Abstract

In this chapter, we discuss the employment of methods from optimal control for problems in computer vision and image processing. The underlying principle will be that of dynamic programming and the associated Hamilton-Jacobi equation which allows a unified approach to tackle a number of different issues in vision. In particular, we will consider problems concerning shape theory, morphology, optical flow, nonlinear scale-spaces, and shape-from-shading. We will also discuss some numerical issues concerned with computer implementations of this methodology.KeywordsWeak SolutionOptical FlowViscosity SolutionEntropy ConditionEikonal EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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