Geometric Description of Images as Topographic Maps

• Main Authors: Caselles, Vicent. (Author), Monasse, Pascal. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1984
• Subjects: Mathematics.; Visualization.; Combinatorics.; Information and Communication, Circuits.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-04611-7

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, morpholo...

Table of Contents:

• 1 Introduction
• 2 The Tree of Shapes of an Image
• 3 Grain Filters
• 4 A Topological Description of the Topographic Map
• 5 Merging the Component Trees
• 6 Computation of the Tree of Shapes of a Digital Image
• 7 Computation of the Tree of Bilinear Level Lines
• 8 Applications.