CENG 570 - Computational Geometry (Spring 2017-2018) (Section 1: MSc with thesis program)

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Tentative Schedule

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  Date Lecture Topics Reading Assignments
Week
#1
Feb 15, Thurs

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

Lecture Slides
Class Web Page

 

Week
#2
Feb 22, Thurs

Convex hulls

Line Segment intersection
 

Chapters 1 and 2 from the textbook

Assignment #1
Due date: March 4, 23:55
 

Week
#3
Mar 1, Thurs

Computing the overlay of two subdivisions
 

Chapter 2 from the textbook
 

 

Week
#4
Mar 8, Thurs

Polygon triangulation

Lecture slides
 

Chapter 3 from the textbook  

Assignment #2
Due date: March 18, 23:55
 

Week
#5
Mar 15, Thurs

2D Linear Programming

Lecture slides
 

Chapter 4 from the textbook
 

 

Week
#6
Mar 22, Thurs

Orthogonal range searching

Lecture slides
 

Chapter 5 from the textbook
 

 

Week
#7
Mar 29, Thurs



Point location

Lecture slides
 

Chapter 6 from the textbook
 

 

Week
#8
Apr 5, Thurs

Midterm Exam at 11:40 in BMB-2

Sample Midterm Exam

 

 

Week
#9
Apr 12, Thurs

Voronoi diagrams

Lecture slides
 

 

Chapter 7 from the textbook
 

 

Week
#10
Apr 19, Thurs

Voronoi diagrams

Lecture slides
Chapter 7 from the textbook
 

Assignment #3
Due date: April 29, 23:55
 

Week
#11
Apr 26, Thurs

Arrangements and Duality

Lecture slides
 

Chapter 8 from the textbook
 

 

Week
#12
May 3, Thurs

Interval Trees and Segment Trees

Lecture slides
 

Chapter 10 from the textbook
 

Assignment #4
Due date: May 20, 23:55
 

Week
#13
May 10, Thurs

Robot Motion Planning

 

Chapter 13 from the textbook
 

 

Week
#14
May 17, Thurs

Visibility Graphs

Final Review

 

Chapter 15 from the textbook