Abstract:
The gradually varied surface was introduced and studied in digital and discrete spaces by Chen. The basic idea of introducing gradually varied surfaces is to employ a purely discrete interpolation algorithm to fit a discrete surface when the desired surface is not required to be smooth. In this paper, we generalize the concept of gradually varied surfaces. A digital surface is defined as a mapping f from an n-dimensional digital manifold D into an m-dimensional grid space. A discrete surface is said to be gradually varied if the adjacency of two points p and q in D implies that f(p) and f(q) are adjacent in the m-dimensional grid space.
Description:
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