efficient data structures for computer graphics and image processing /
Guillaume Damiand, Pascal Lienhardt
xxii, 383 pages, 14 pages of plates ;
25 cm
Includes bibliographical references and index
A Versatile Framework for Handling Subdivided Geometric Objects, Combinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing gathers important ideas related to combinatorial maps and explains how the maps are applied in geometric modeling and image processing. It focuses on two subclasses of combinatorial maps: n-Gmaps and n-maps. Suitable for researchers and graduate students in geometric modeling, computational and discrete geometry, computer graphics, and image processing and analysis, the book presents the data structures, operations, and algorithms that are useful in handling subdivided geometric objects. It shows how to study data structures for the explicit representation of subdivided geometric objects and describes operations for handling the structures. The book also illustrates results of the design of data structures and operations. Features, Discusses the application of combinatorial maps in computer graphics and image processing, Introduces basic topological and mathematical concepts, Shows how to deduce formal models for representing the structures of the objects, Explains how to construct n-Gmaps and n-maps, Describes the operations for handling n-Gmaps and n-maps, Presents cellular objects as simplicial objects structured into cells, Compares n-Gmaps, n-maps, and several ordered models for representing quasi-manifolds Book jacket