Digital Geometry Algorithms: Theoretical Foundations and Applications to Computational Imaging
Valentin E. Brimkov, Reneta P. Barneva
Springer Science & Business Media, 20 de mai de 2012 - 430 páginas
Digital geometry emerged as an independent discipline in the second half of the last century. It deals with geometric properties of digital objects and is developed with the unambiguous goal to provide rigorous theoretical foundations for devising new advanced approaches and algorithms for various problems of visual computing. Different aspects of digital geometry have been addressed in the literature. This book is the first one that explicitly focuses on the presentation of the most important digital geometry algorithms. Each chapter provides a brief survey on a major research area related to the general volume theme, description and analysis of related fundamental algorithms, as well as new original contributions by the authors. Every chapter contains a section in which interesting open problems are addressed.
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Digital Geometry Algorithms: Theoretical Foundations and Applications to ...
Valentin E. Brimkov,Reneta P. Barneva
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2-complexes ADSS Betti numbers boundary cell complexes chain-code circular arcs combinatorial map Computational Vision connected components contour convex corresponding curvature darts data structure deﬁne defined deﬁnition deleted denote digital circle digital circularity digital curve segment digital geometry digital straight line digital topology discrete Discrete Geometry discrete space distance transform domain edge elemental subset encoded estimator Euclidean Euclidean distance Euler characteristic Euler operators face function geometric Graph grid IEEE Trans Image Process input integer intersection Lemma length lgood linear maximal medial axis merging method minimal multigrid convergence node non-manifold number of cavities object parallel thinning parameter partition Pattern Anal Pattern Recognit pixels plane polytope problem properties radius reconstruction regions relation satisﬁes Sect separation sequence shape silhouettes skeleton Springer step surface tangent Theorem thinning algorithms topological map topology preserving tree vector vertex vertices Voronoi diagram voxels