COMP 163/MATH 163 Computational Geometry Fall 2018

Announcements

• During the semester, announcements will be listed here, with dates.
• Guidelines for submitting homework solutions pdf
• Lecture notes on Triangulation and Regularizing Subdivisions pdf

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: Written homework assignments, a midterm exam, an implementation project, and a final exam.

PREREQUISITE: Computer Science 160 or consent.

Tentative Schedule

First Class: Tuesday, September 4, 9:00-11:30 a.m., Anderson 312  
First Homework Due: Tuesday, 9/18 before class.
NO CLASS: Tuesday, September 25
MAKEUP-CLASS for 9/25: Friday, September 21, 9 - 10:45AM
MAKEUP-CLASS for 9/25: Friday, October 5, 9-10:45am
Second Homework Due: Wednesday, 10/3 by 4:30pm.
Third Homework Due: Wednesday, 10/17 by 4:30pm.
Midterm Exam: Tuesday, 10/23.
Fourth Homework Due: Wednesday, 10/31 by 4:30pm.
Fifth Homework Due: Wednesday, 11/14 by 4:30pm.
Sixth (Last) Homework due: Wednesday, 11/28 by 4:30pm.
Projects Due: Tuesday, December 4, 9:00-11:45 am (last class)
Final Exam: Wednesday, December 19, 12:00-2:00pm.

Homework

This list will be created during the semester.

• Please answer each question on a separate sheet.
• Homework 1 - pdf
• Homework 2 - pdf
• Homework 3 - pdf
• Homework 4 - pdf
• Homework 5 - pdf
• Project - pdf

Staff

Instructor: Diane L. Souvaine Halligan 239 dls (at) cs (dot) tufts (dot) edu Office Hours: Thursday, 10:30-11:50AM: 9/13,20; 11/1,15; 12/6. Monday, 2:30-4:00PM: 10/1,15,22,29; 11/5,19,26; 12/3,10,17. Monday, 9-10AM by appt only: 10/15,22,29; 11/5,19,26; 12/3,10,17.

Teaching Assistants: Matt Jones Matthew (dot) Jones (at) tufts (dot) edu Office Hours: TBA

TextBooks and References

	Main textbook Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried Schwarzkopf Computational Geometry: Algorithms and Applications Springer-Verlag, third edition, 2000.
	Joseph O'Rourke Computational Geometry in C Cambridge University Press, second edition, 1998
	Satyan L. Devadoss and Joseph O'Rourke Discrete and Computational Geometry Princeton University Press, 2011
	Joseph O'Rourke and Csaba Tóth Handbook of Discrete and Computational Geometry Princeton University Press, 2017
	Franco P. Preparata, Michael Ian Shamos Computational Geometry Springer-Verlag, corrected fifth printing, 1993
	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
	D. L. Souvaine Lecture Notes in Computational Geometry, 2005: Lecture Notes.

Resources
Demos
	List of Computational Geometry Demos maintained by Jeff Erickson, UIUC
Papers and Web Information
Geometric Software
	LEDA Documentation Documentation of LEDA book (Thanks to Cory McMahon) CGAL Documentation A simple CGAL example (thanks to Ryan Coleman) Geomview Documentation Cinderella How to run Cinderella
Other computational Geometry
LATEX	Document Preparation with Latex, by Budgen and Nelson. (Excellent) Getting Started with Latex, by Wilkins. (Shorter but good for getting started)