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Algorithms and Applications in Computational Geometry

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Algorithms and Applications in Computational Geometry is a textbook that covers the fundamental principles and algorithms of computational geometry. The book is written in a clear and concise style, and it is designed to be accessible to students and researchers with a variety of backgrounds, including computer science, mathematics, and physics.

The book begins with an overview of the field of computational geometry and its applications in areas such as robotics, computer graphics, and geographic information systems. It then discusses the basic principles of computational geometry, such as geometric primitives, data structures, and algorithms for geometric operations such as point location, intersection, and visibility.

The book then applies these principles to a variety of specific computational geometry problems, such as:

  • Polygon triangulation
  • Convex hull computation
  • Voronoi diagrams
  • Delaunay triangulation
  • Arrangements of lines and segments
  • Point cloud processing
  • Mesh generation


The book also includes a number of chapters on more advanced topics, such as:

  • Algorithmic motion planning
  • Spatial range searching
  • Computational topology
  • Geometric optimization

 

Subjects / Topics

Computer Science, Theory of Computation, Geometry, Math Applications in Computer Science, Earth Sciences, general, Computer Graphics, Algorithm Analysis and Problem Complexity

 

Keywords Covered

Area, CAM, Partition, Triangulation, algorithm, algorithms, computer science, data structure, data structures, database, information, linear optimization, programming, robot, robotics, algorithm analysis and problem complexity, etc



Pages – 365

You will get a PDF (3MB) file