Abstract
In this paper, we first define the curvature indices of vertices of discrete objects. Second, using these indices, we define the principal normal vectors of discrete curves and surfaces. Third, we define digital curvature flow as a digital version of curvature flow in discrete space. Finally, these definitions of curvatures in a discrete space derives discrete snakes as a discrete variational problem since the minimization criterion of the snakes is defined using the curvatures of points on the discrete boundary.
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© 2001 Springer-Verlag Berlin Heidelberg
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Imiya, A. (2001). Curvature Flow in Discrete Space. In: Bertrand, G., Imiya, A., Klette, R. (eds) Digital and Image Geometry. Lecture Notes in Computer Science, vol 2243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45576-0_14
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DOI: https://doi.org/10.1007/3-540-45576-0_14
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