CENG 773 - Computational Geometry (Spring 2015-2016)

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Tentative Schedule

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  Date Lecture Topics Reading Assignments
Week
#1
Feb 23, Tue

Course overview
Mathematics and geometry review.
Representation of basic geometric primitives.

Lecture Slides
Class Web Page

 

Week
#2
Mar 1, Tue

Convex hulls

Line Segment intersection
 

Chapters 1 and 2 from the textbook

 

Week
#3
Mar 8, Tue

Computing the overlay of two subdivisions
 

Chapter 2 from the textbook
 

Assignment #1
Due Date: March 20, 23:55
 

Week
#4
Mar 15, Tue

Polygon triangulation

Lecture slides
 

Chapter 3 from the textbook  

 

Week
#5
Mar 22, Tue

2D Linear Programming

Lecture slides
 

Chapter 4 from the textbook
 

Assignment #2
Due Date: April 3, 23:55 submit via ODTU-Class
 

Week
#6
Mar 29, Tue

Orthogonal range searching

Lecture slides
 

Chapter 5 from the textbook
 

 

Week
#7
Apr 5, Tue



Point location

Lecture slides
 

Chapter 6 from the textbook
 

Assignment #3
Due Date: April 17, 23:55 submit via ODTU-Class
 

Week
#8
Apr 12, Tue

Midterm Exam
Coverage: 1.1, 2.1, 2.2, 2.3, 3.1, 3.2, 3.3, 4.1, 4.3, 4.4, 4.7, 5.1, 5.2, 5.3, 5.6, 6.1, 6.2 (up to Theorem 6.3)

Sample Midterm Exam

 

 

Week
#9
Apr 19, Tue

Voronoi diagrams

Lecture slides
 

 

Chapter 7 from the textbook
 

 

Week
#10
Apr 26, Tue

Arrangements and Duality

Lecture slides
Chapter 8 from the textbook
 

Assignment #4
Due Date: May 10, 23:55 submit via ODTU-Class
 

Week
#11
May 3, Tue

Interval Trees and Segment Trees

Lecture slides
 

Chapter 10 from the textbook
 

 

Week
#12
May 10, Tue

Robot Motion Planning

 

Chapter 13 from the textbook
 

Assignment #5
Due Date: May 24, 23:55 submit via ODTU-Class
 

Week
#13
May 17, Tue

Visibility Graphs

 

Chapter 15 from the textbook
 

 

Week
#14
May 24, Tue

Final Review

Final Exam Coverage:
7.1, 7.2, 8.1, 8.2, 8.3, 8.4, 10.1, 10.2, 10.3, 13.1, 13.2, 13.3, 13.4, 15.1, 15.2, 15.3