Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
On the topology of an arithmetic plane.
Theoretical Computer Science
The Euler characteristics of discrete objects and discrete quasi-objects
Computer Vision and Image Understanding
Geometric partial differential equations and image analysis
Geometric partial differential equations and image analysis
Polyhedra generation from lattice points
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
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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.