
Computational Geometry
Algorithms and Applications
Springer (Publisher)
3rd Edition
Published on 19. October 2010
Book
Paperback/Softback
XII, 386 pages
978-3-642-09681-5 (ISBN)
Description
Computational geometry emerged from the ?eld of algorithms design and analysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The success of the ?eld as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on the other hand, by the many application domains-computer graphics, geographic information systems (GIS), robotics, and others-in which geometric algorithms play a fundamental role. For many geometric problems the early algorithmic solutions were either slow or dif?cult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simpli?ed many of the previous approaches. In this textbook we have tried to make these modern algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry,but it can also be used for self-study.
Reviews / Votes
"An excellent introduction to the field is given here, including a general motivation and usage cases beyond simple graphics rendering or interaction." from the ACM Reviews by William Fahle, University of Texas at Dallas, USA
More details
Edition
Third Edition 2008
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
370 s/w Abbildungen
XII, 386 p. 370 illus.
Dimensions
Height: 242 mm
Width: 193 mm
Thickness: 22 mm
Weight
774 gr
ISBN-13
978-3-642-09681-5 (9783642096815)
DOI
10.1007/978-3-540-77974-2
Schweitzer Classification
Other editions
Additional editions

Book
03/2008
3rd Edition
Springer
€58.84
Available immediately

E-Book
03/2008
3rd Edition
Springer
€58.84
Available for download
Content
Computational Geometry: Introduction.- Line Segment Intersection: Thematic Map Overlay.- Polygon Triangulation: Guarding an Art Gallery.- Linear Programming: Manufacturing with Molds.- Orthogonal Range Searching: Querying a Database.- Point Location: Knowing Where You Are.- Voronoi Diagrams: The Post Office Problem.- Arrangements and Duality: Supersampling in Ray Tracing.- Delaunay Triangulations: Height Interpolation.- More Geometric Data Structures: Windowing.- Convex Hulls: Mixing Things.- Binary Space Partitions: The Painter's Algorithm.- Robot Motion Planning: Getting Where You Want to Be.- Quadtrees: Non-Uniform Mesh Generation.- Visibility Graphs: Finding the Shortest Route.- Simplex Range Searching: Windowing Revisited.- Bibliography.- Index.