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Gaussian Scale-Space Theory by Luc Florack, Peter Johansen, Mads Nielsen, Jon Sporring (Paperback, 2010)

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ISBN-13: 9789048148523, 978-9048148523. Gaussian scale-space is one of the best understood multi-resolution techniques available to the computer vision and image analysis community. Presently there exist only two books on the subject.

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This book covers Gaussian scale-space theory from its applications to its mathematical foundation. The reader not so familiar with scale-space will find it instructive to first consider some potential applications described in Part I. The next two parts both address fundamental aspects of scale-space. Whereas scale is treated as an essentially arbitrary constant in Part II, Part III emphasises the deep structure, i.e. the structure that is revealed by varying scale. Finally Part IV is devoted to non-linear extensions, notably non-linear diffusion techniques and morphological scale-spaces, and their relation to the linear case. Audience: This volume is addressed to researchers in the field of image analysis seeking mathematical foundation of algorithms.