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Medial Representations

Mathematics, Algorithms and Applications

Kaleem Siddiqi, Stephen Pizer (Herausgeber)

Buch | Hardcover

439 Seiten

2008
Springer-Verlag New York Inc.
978-1-4020-8657-1 (ISBN)

Lese- und Medienproben

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The last half century has seen the development of many biological or physical t- ories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world. Simultaneously mathematicians have studied the properties of these skeletal descriptions of shape, and, stimulated by the many areas where medial models are useful, computer scientists and engineers have developed numerous algorithms for computing and using these models. We bring this kno- edge and experience together into this book in order to make medial technology more widely understood and used. The book consists of an introductory chapter, two chapters on the major mat- matical results on medial representations, ?ve chapters on algorithms for extracting medial models from boundary or binary image descriptions of objects, and three chapters on applications in image analysis and other areas of study and design. We hope that this book will serve the science and engineering communities using medial models and will provide learning material for students entering this ?eld. We are fortunate to have recruited many of the world leaders in medial theory, algorithms, and applications to write chapters in this book. We thank them for their signi?cant effort in preparing their contributions. We have edited these chapters and have combined them with the ?ve chapters that we have written to produce an integrated whole.

Mathematics.- Local Forms and Transitions of the Medial Axis.- Geometry and Medial Structure.- Algorithms.- Skeletons via Shocks of Boundary Evolution.- Discrete Skeletons from Distance Transforms in 2D and 3D.- Voronoi Skeletons.- Voronoi Methods for 3D Medial Axis Approximation.- Synthesis, Deformation, and Statistics of 3D Objects via M-Reps.- Applications.- Statistical Applications with Deformable M-Reps.- 3D Model Retrieval Using Medial Surfaces.- From the Infinitely Large to the Infinitely Small.

Erscheint lt. Verlag	29.10.2008
Reihe/Serie	Computational Imaging and Vision ; 37
Zusatzinfo	XVII, 439 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4020-8657-1 / 1402086571
ISBN-13	978-1-4020-8657-1 / 9781402086571
Zustand	Neuware