AMS 345/CSE 355
Joe Mitchell
COMPUTATIONAL GEOMETRY
Practice Midterm Solution Notes
(1). Triangulate P . This results in n 2 triangles (in any triangulation). Place a guard at an interior
point (e.g., centroid) of each triangle. Every point of P is seen,
RISE 2008, January 78, Spain
Autonomous Learning Agents for Decentralised Data
and Information Networks (ALADDIN)
www.aladdinproject.org
Dr. David Nicholson
BAE Systems
Bristol, UK
David.Nicholson2@baesystems.com
Facts&Figures
5.5Mfunding(plus1Minkind)
AMS 345/CSE 355
Joe Mitchell
COMPUTATIONAL GEOMETRY: Practice Midterm
(1). [15 points] Without appealing to Fisks proof of the Art Gallery Theorem, give a simple
argument to show that a simple polygon P having n vertices can always be guarded using at mos
AMS 345/CSE 355 (Spring, 2006)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 5
Due at the beginning of class on Wednesday, March 29, 2006.
Recommended Reading: ORourke, Chapter 4 (especially sections 4.1, 4.2, 4.4, 4.6) and Chapter 5, sections
5.15.3
AMS 345/CSE 355 (Spring, 2006)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 1
Due at the beginning of class on Wednesday, February 8, 2006.
Recommended Reading: ORourke, Chapter 1.
Reminder: In all of the exercises, be sure to give at least a brief
AMS 345/CSE 355 (Spring, 2006)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 4
Due at the beginning of class on Wednesday, March 8, 2006.
Recommended Reading: ORourke, Chapter 3 (sections 3.13.8).
Reminders: The Midterm Exam will be March 15th, 3:50-
AMS 345/CSE 355 (Spring, 2006)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 4 Solution Notes
(1). ORourke, problem 4, section 3.2.3, page 68. In two dimensions, the ane hull of two points is the line
through the two points, of three noncolinear poin
AMS 345/CSE 355 (Spring, 2006)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 6 Solution Notes
(1). Let S be a set of n points in the plane in general position (no three are collinear). Let h denote the
number of points of S that are vertices of the c
AMS 345/CSE 355 (Spring, 2006)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 7
Due at the beginning of class on Monday, April 26, 2006.
Recommended Reading: ORourke, Chapter 6 (especially sections 6.1-6.5 and 6.7.6).
In all of the exercises, be sure