Abstract
In this chapter, we start discussing methods for the extraction of shapes (curves or surfaces) from discrete image data. Most of the methods we will discuss will proceed by energy minimization and be implemented using curve evolution equations. Such equations will be discussed in Chapter 6. In this first, short, chapter, we discuss what is probably the simplest option that is available to extract a curve or a surface from an image, which is to define it implicitly based on the image values.
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© 2010 Springer Berlin Heidelberg
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Younes, L. (2010). Isocontours and Isosurfaces. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12055-8_5
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DOI: https://doi.org/10.1007/978-3-642-12055-8_5
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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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