Geometric Description of Images as Topographic Maps / by Vicent Caselles, Pascal Monasse
(Lecture Notes in Mathematics ; 1984)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg |
| 出版年 | 2010 |
| 本文言語 | 英語 |
| 大きさ | XVII, 192 p : online resource |
書誌詳細を非表示
| 内容注記 | 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 |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *Caselles, Vicent author Monasse, Pascal author SpringerLink (Online service) |
| 件 名 | LCSH:Computer science LCSH:Coding theory LCSH:Computers LCSH:Information theory LCSH:Topology LCSH:Discrete mathematics LCSH:Combinatorics FREE:Computer Science FREE:Coding and Information Theory FREE:Topology FREE:Discrete Mathematics FREE:Information and Communication, Circuits FREE:Computing Methodologies FREE:Combinatorics |
| 分 類 | DC23:003.54 |
| 巻冊次 | ISBN:9783642046117 
|
| ISBN | 9783642046117 |
| URL | http://dx.doi.org/10.1007/978-3-642-04611-7 |
目次／あらすじ