Computational Geometry [electronic resource] : Algorithms and Applications / by Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried Schwarzkopf.
Material type: TextPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997Edition: 1st ed. 1997Description: XII, 367 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783662034279Subject(s): Computer science—Mathematics | Computer-aided engineering | Computer graphics | Dynamics | Nonlinear theories | Earth sciences | Mathematics | Mathematical Applications in Computer Science | Computer-Aided Engineering (CAD, CAE) and Design | Computer Graphics | Applied Dynamical Systems | Earth Sciences | Applications of MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 004.0151 LOC classification: QA76.9.M35Online resources: Click here to access online1 Computational Geometry: Introduction -- 2 Line Segment Intersection: Thematic Map Overlay -- 3 Polygon Triangulation: Guarding an Art Gallery -- 4 Linear Programming: Manufacturing with Molds -- 5 Orthogonal Range Searching: Querying a Database -- 6 Point Location: Knowing Where You Are -- 7 Voronoi Diagrams: The Post Office Problem -- 8 Arrangements and Duality: Supersampling in Ray Tracing -- 9 Delaunay Triangulations: Height Interpolation -- 10 More Geometric Data Structures: Windowing -- 11 Convex Hulls: Mixing Things -- 12 Binary Space Partitions: The Painter’s Algorithm -- 13 Robot Motion Planning: Getting Where You Want to Be -- 14 Quadtrees: Non-Uniform Mesh Generation -- 15 Visibility Graphs: Finding the Shortest Route -- 16 Simplex Range Searching: Windowing Revisited.
This all-new 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.
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