Abstract
In this chapter, we discuss how to represent curve or surface evolution using partial differential equations. This connects to fundamental mathematical results, some of them beyond the scope of this book, but also has important practical implications, especially when implementing optimization algorithms over curves and surfaces. One important example will be active contours, which will be described in the next chapter.
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© 2010 Springer Berlin Heidelberg
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Younes, L. (2010). Evolving Curves and Surfaces. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12055-8_6
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DOI: https://doi.org/10.1007/978-3-642-12055-8_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12054-1
Online ISBN: 978-3-642-12055-8
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