Titlebook: Digital and Discrete Geometry; Theory and Algorithm Li M. Chen Book 2014 Springer International Publishing Switzerland 2014 Cloud Data Proc

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Discrete Spaces: Graphs, Lattices, and Digital Spaces an whole object, or the location of an object; the edge represents a relationship between two vertices. A graph can be defined as . where . is a set of vertices and . is a set of edges, each of which links two vertices. For a certain geometric object, e.g. a rectangle, one can draw four points on t

ferment

Euclidean Space and Continuous Spacehe distance measure of Euclidean spaces. Then, we introduce general continuous spaces—topological space. At the end, we discuss the relationship between continuous spaces and discrete spaces..In continuation of the previous chapter, but in the opposite direction, we present the basic formulas for Eu

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Digital Planar Geometry: Curves and Connected Regionslosed digital curve is usually the boundary of a connected component. We first discuss how we precisely define a curve in a graph and Euclidean space, then we discuss how we represent digital curves. Digital curves have two important applications in computer graphics and computer vision: (a) Constru

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