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Titlebook: Medial Representations; Mathematics, Algorit Kaleem Siddiqi,Stephen M. Pizer Book 2008 Springer Science+Business Media B.V. 2008 3D.Area.Co

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Stephen Pizer,Qiong Han,Sarang Joshi,P. Thomas Fletcher,Paul A. Yushkevich,Andrew Thalls as well as Dr. E. Stefanou, Associate Professor, Department of the pertinent contemporary international bibliogra- Oral Diagnosis and Radiology, School of Dentistry, phy concerning oral surgery, was considered impera- University of Athens, Greece, for writing Chap. 2, tive. “Radiographic Examinati
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Kaleem Siddiqi,Juan Zhang,Diego Macrini,Sven Dickinson,Ali Shokoufandehs as well as Dr. E. Stefanou, Associate Professor, Department of the pertinent contemporary international bibliogra- Oral Diagnosis and Radiology, School of Dentistry, phy concerning oral surgery, was considered impera- University of Athens, Greece, for writing Chap. 2, tive. “Radiographic Examinati
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s as well as Dr. E. Stefanou, Associate Professor, Department of the pertinent contemporary international bibliogra- Oral Diagnosis and Radiology, School of Dentistry, phy concerning oral surgery, was considered impera- University of Athens, Greece, for writing Chap. 2, tive. “Radiographic Examinati
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Introduction 1981; Mather, 1983; Millman, 1980), would provide an effective means of representing objects appearing in 2D images. Soon thereafter Blum suggested the extension of medial loci to objects in 3D images. These object representations have since come to have an important role in the description of shap
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Discrete Skeletons from Distance Transforms in 2D and 3Dle in 3D it is a set of surfaces and curves, the surface skeleton, or a set of curves, the curve skeleton. A general scheme could, in principle, be followed for both 2D and 3D discrete skeletonization. However, we will describe one approach for 2D skeletonization, mainly based on marking, in the dis
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Voronoi Skeletonsom its boundary. The method is developed for both 2D and 3D objects. A number of issues must be dealt with including the handling of medial axis topology, adequately sampling the boundary, and the pruning of branches that represent insignificant boundary details. Generally, the methods of this chapt
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