COMP 163/MATH 181 Computational Geometry Fall 2022 |
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Announcements |
Brief Description |
Computational geometry is concerned with the design and analysis of algorithms for solving geometric problems. Applications can be found in such fields as VLSI design, computer graphics, robotics, computer-aided design, pattern recognition, and statistics. The aim of the course will be to introduce some basic problems of computational geometry and discuss algorithms for solving these problems. The ultimate aim will be to identify general paradigms and data structures of particular importance to solving computational geometry problems, and thereby provide the participants with a solid foundation in the field.
Topics Covered: Design and analysis of algorithms for geometric problems. Topics include proof of lower bounds, convex hulls, searching and point location, plane sweep and arrangements of lines, Voronoi diagrams, intersection problems, decomposition and partitioning, farthest-pairs and closest-pairs, rectilinear computational geometry.
Expected Work: Six written homework assignments, occasional spontaneous quizzes, two tests, and an implementation/theory project.
PREREQUISITE: Computer Science 160 or a 100+ level Mathematics Course or Graduate Standing.
Schedule: MW, 9:00-10:15AM [R+ block] |
Class #1:
Wednesday, September 7: Upper and Lower Bounds for Convex Hull
Homework |
This list will be created during the
semester. I expect there to be six (6) homeworks, with one due roughly every two weeks and a final project.
Instructor:Diane L. Souvaine |
Teaching Assistants:Jonathan (dot) Conroy (at) tufts (dot) edu Office Hours: TBA
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TextBooks and References |
Main textbook |
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Joseph
O'Rourke |
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Satyan L. Devadoss and Joseph
O'Rourke |
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Joseph
O'Rourke and Csaba Tóth |
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Franco P. Preparata,
Michael Ian Shamos |
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D. P. Dobkin and D. L. Souvaine, Computational Geometry -- A User's Guide. Chapter 2 of Advances in Robotics 1: Algorithmic and Geometric Aspects of Robotics, J. T. Schwartz and C. K. Yap, eds., Lawrence Erlbaum Associates, 1987, 43-93. User Guide |
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D. L. Souvaine Lecture Notes in Computational Geometry, 2005: Lecture Notes. |
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Resources |
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Demos |
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List of Computational Geometry Demos maintained by Jeff Erickson, |
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Documentation of LEDA book (Thanks to Cory McMahon) |
Other computational Geometry |
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Document Preparation with Latex, by Budgen and Nelson. (Excellent) Getting Started with Latex, by Wilkins. (Shorter but good for getting started) |