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Computational Geometry : Algorithms and Applications

Author: Mark Berg; Marc Kreveld; Mark Overmars; Otfried Cheong Schwarzkopf
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2000.
Edition/Format:   eBook : Document : English : Second, revised editionView all editions and formats
Summary:
This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mark Berg; Marc Kreveld; Mark Overmars; Otfried Cheong Schwarzkopf
ISBN: 9783662042458 3662042452
OCLC Number: 851381989
Language Note: English.
Description: 1 online resource (xii, 367 pages)
Contents: 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.
Responsibility: by Mark Berg, Marc Kreveld, Mark Overmars, Otfried Cheong Schwarzkopf.
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Abstract:

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

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