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Read more about Algorithms and Data Structures With Applications to Graphics and Geometry

Algorithms and Data Structures With Applications to Graphics and Geometry

(1 review)

Jurg Nievergelt, ETH Zurich

Klaus Hinrichs, University of Muenster

Copyright Year: 2011

Publisher: Global Text Project

Language: English

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CC BY

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Reviewed by Stephan Olariu, Professor, Old Dominion University on 6/20/17

This book is not intended to be a comprehensive introduction to algorithms and data structures. For this, there are other books. Instead, the authors have focused on a smattering of fundamental topics that provide the student with tools for the... read more

Table of Contents

Part I: Programming environments for motion, graphics, and geometry

  • 1. Reducing a task to given primitives: programming motion
  • 2. Graphics primitives and environments
  • 3. Algorithm animation

Part II: Programming concepts: beyond notation

  • 4. Algorithms and programs as literature: substance and form
  • 5. Divide-and-conquer and recursion.
  • 6. Syntax
  • 7. Syntax analysis

Part III: Objects, algorithms, programs.

  • 8. Truth values, the data type 'set', and bit acrobatics
  • 9. Ordered sets
  • 10. Strings
  • 11. Matrices and graphs: transitive closure
  • 12. Integers
  • 13. Reals
  • 14. Straight lines and circles

Part IV: Complexity of problems and algorithms

  • 15. Computability and complexity
  • 16. The mathematics of algorithm analysis
  • 17. Sorting and its complexity

Part V: Data structures

  • 18. What is a data structure?
  • 19. Abstract data types
  • 20. Implicit data structures
  • 21. List structures
  • 22. Address computation
  • 23. Metric data structures

Part VI: Interaction between algorithms and data structures: case studies in geometric computation

  • 24. Sample problems and algorithms
  • 25. Plane-sweep: a general-purpose algorithm for two-dimensional problems illustrated using line segment intersection
  • 26. The closest pair

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About the Book

An introductory coverage of algorithms and data structures with application to graphics and geometry.

About the Contributors

Authors

Jürg Nievergelt has been full Professor of Computer Science at the ETH Zurich from 1975 until his retirement in 2003. J. Nievergelt received a degree in mathematics from the ETH in 1962, and a Ph.D. in mathematics from the University of Illinois in 1965. From 1965-77 he was on the faculty of Computer Science at the University of Illinois at Urbana-Champaign, from assistant professor to full professor. Since 1975 professor of computer science at ETH Zurich. On leave from ETH 1985-89 he was Kenan Professor and chairman of the Computer Science Dept. at the Univ. of North Carolina at Chapel Hill. Visiting appointments include NTT's Yokosuka Electrical Communications Lab, Visiting IBM Professor at Keio University, and Visiting Professor at the National University of Singapore. He is a Fellow of ACM, IEEE and AAAS. Research Interests: Algorithms and data structures; interactive systems; user interfaces; heuristic and exhaustive search, parallel computation.

Klaus Hinrichs, Professor at University of Muenster.

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