---

＜電子ブック＞
Geometric Description of Images as Topographic Maps / by Vicent Caselles, Pascal Monasse
(Lecture Notes in Mathematics. ISSN:16179692 ; 1984)

版	1st ed. 2010.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XVII, 192 p : online resource
著者標目	*Caselles, Vicent author Monasse, Pascal author SpringerLink (Online service)
件　名	LCSH:Coding theory LCSH:Information theory LCSH:Topology LCSH:Discrete mathematics LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Artificial intelligence FREE:Coding and Information Theory FREE:Topology FREE:Discrete Mathematics FREE:Mathematical Applications in Computer Science FREE:Artificial Intelligence
一般注記	The Tree of Shapes of an Image -- Grain Filters -- A Topological Description of the Topographic Map -- Merging the Component Trees -- Computation of the Tree of Shapes of a Digital Image -- Computation of the Tree of Bilinear Level Lines -- Applications This volume discusses the basic geometric contents of an image and presents a tree data structure to handle those contents efficiently. The nodes of the tree are derived from connected components of level sets of the intensity, while the edges represent inclusion information. Grain filters, morphological operators simplifying these geometric contents, are analyzed and several applications to image comparison and registration, and to edge and corner detection, are presented. The mathematically inclined reader may be most interested in Chapters 2 to 6, which generalize the topological Morse description to continuous or semicontinuous functions, while mathematical morphologists may more closely consider grain filters in Chapter 3. Computer scientists will find algorithmic considerations in Chapters 6 and 7, the full justification of which may be found in Chapters 2 and 4 respectively. Lastly, all readers can learn more about the motivation for this work in the image processing applications presented in Chapter 8 HTTP:URL=https://doi.org/10.1007/978-3-642-04611-7

 類似資料