Titlebook: Discrete Geometry for Computer Imagery; 7th International Wo Ehoud Ahronovitz,Christophe Fiorio Conference proceedings 1997 Springer-Verlag

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Ellipses estimation from their digitization, ellipse . is presented on digital picture of a given resolution, then the corresponding digital ellipse is: . where . denotes the number of pixels per unit and . = ., . = ., ..Since the digitization of real shapes causes an inherent loss of information about the original objects, the precision of t

aspersion

Topological errors and optimal chamfer distance coefficients, is presented. The continuous distance considered is the widely used Euclidean distance whereas we consider as discrete distance the chamfer distance based on 3 x 3 masks. The objective is to obtain formal results from which algorithms for the exact solution of the Euclidean Distance Transformation

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R. L. Tobler,L. M. Ma,R. P. ReedTopology-based Geometric Modeling is concerned with modeling subdivisions of geometric spaces. Methods are close to that of combinatorial topology, but for different purposes. We discuss some of these methods, their interests and drawbacks for Geometric Modeling, mainly aspects we think that could be of possible interest for Discrete Geometry.

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Discrete Geometry for Computer Imagery978-3-540-69660-5Series ISSN 0302-9743 Series E-ISSN 1611-3349