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Project I-2011 - Project I Calculus of Variation and Active...

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Project I Calculus of Variation and Active Contours Model In this project, you are asked to first extend our discussion on the calculus of variation from a single function to two functions and then you are asked to apply your results to derive the partial differential equations that minimizes the energy functional for curve evolution. 1. Consider the following functional ( ) ∫ ( ( ) ( ) ( ) ( )) for functions ( ) and ( ) from F the collection of continuously differentiable functions ( ) satisfying the boundary conditions ( ) ( ) . Find the Euler
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