CENG 570 - Computational Geometry (Fall 2020-2021) (Sections 1 and 2)

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Tentative Schedule

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  Date Lecture Topics Reading Assignments
Week
#1
Week of October 12

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

Lecture Slides
Class Web Page

 

Week
#2
Week of October 19

Convex hulls

Line Segment intersection
 

Chapters 1 and 2 from the textbook

 

Week
#3
Week of October 26

Computing the overlay of two subdivisions
 

Chapter 2 from the textbook
 

 

Week
#4
Week of November 2

Polygon triangulation

Lecture slides
 

Chapter 3 from the textbook  

 

Week
#5
Week of November 9

2D Linear Programming

Lecture slides
 

Chapter 4 from the textbook
 

 

Week
#6
Week of November 16

Orthogonal range searching

Lecture slides
 

Chapter 5 from the textbook
 

 

Week
#7
Week of November 23



Point location

Lecture slides
 

Chapter 6 from the textbook
 

 

Week
#8
Week of November 30

Midterm Exam as Take-Home Exam
to be given on December 4th.
Q&A Session on regular lecture hours.

Sample Midterm Exam

 

 

Week
#9
Week of December 7

Voronoi diagrams

Lecture slides
 

 

Chapter 7 from the textbook
 

 

Week
#10
Week of December 14

Voronoi diagrams

Lecture slides
Chapter 7 from the textbook
 

 

Week
#11
Week of December 21

Arrangements and Duality

Lecture slides
 

Chapter 8 from the textbook
 

 

Week
#12
Week of December 28

Interval Trees and Segment Trees

Lecture slides
 

Chapter 10 from the textbook
 

 

Week
#13
Week of January 4

Robot Motion Planning

 

Chapter 13 from the textbook
 

 

Week
#14
Week of January 11

Visibility Graphs

Final Review

 

Chapter 15 from the textbook