AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 2 Solution Notes
(1). (a). Consider performing the Bentley-Ottmann sweep, in report mode, with a vertical line, sweepi
AMS 545/CSE 555 (Spring, 2016)
COMPUTATIONAL GEOMETRY
Homework Problem # 1
(1). We defined a set Q to be convex if for any two points p and q in Q the line segment pq also
lies in Q.
Let us define the
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 2
Due in class on Thursday, February 28, 2013.
Reminder: Show your reasoning! Also, all hw should be submitted with th
CSE555/AMS545 Homework 1
Jie Gao
February 10, 2012
The following problems are due in 2 weeks (Feb 9th) before class.
1. Prove that the convex hull of a set of points S has the smallest perimeter among
CSE555/AMS545 Homework 3
Jie Gao
March 1, 2012
The following problems are due in 2 weeks (March 15th) before class.
1. The weight of a triangulation is the sum of the length of all edges of the triang
CSE555/AMS545 Homework 4
Jie Gao
April 11, 2012
The following problems are due in 2 weeks (April 24th) before class.
Textbook [Computatioal Geometry: Algorithms and Applications], 2nd or 3rd edition:
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 1
Due in class on Thursday, February 14, 2013.
Reminder: Show your reasoning! Also, all hw should be submitted with th
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 7
Due in class on Thursday, May 2, 2013. Reminder: Show your reasoning! Quiz 5 will be
2:30-2:50 on May 2, covering hw
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 4
Due in class on Thursday, March 28, 2013. Reminder: Show your reasoning!
Recommended Reading: BKOS: Chapter 4 (you m
AMS 545/CSE 555 (Spring, 2009)
Joe Mitchell
COMPUTATIONAL GEOMETRY Homework Set # 7 Solution Notes
(1). [20 points] Problems 8.6 and 8.8 of BCKO. Problem 8.6: Let S be a set of n points cfw_p1 , ., pn
CSE555/AMS545 Homework 2
Jie Gao
February 21, 2012
The following problems are due in 2 weeks (Feb 23rd) before class.
1. Let S be a set of n triangles in the plane. The boundaries of the triangles are
CSE555/AMS545 Final Exam
Jie Gao
May 11, 2012
Submit by 6pm 12th to instructors mailbox at CS department. Assume no degeneracy for all the problems below unless specied.
1. Range queries for polygons
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 6 Solution Notes
(1). Here is a proposed solution to the following problem: Given a set S of n points in the
plane, no
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 3 Solution Notes
(1). (a). Give an example of a rectilinear1 simple polygon P for which the maximum number,
imax (P ),
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
COMPUTATIONAL GEOMETRY
Homework Set # 6
Due in class on Thursday, April 18, 2013. Reminder: Show your reasoning! Quiz 4 will be
2:30-2:50 on April 18, cover
CSE555/AMS545 Homework 2
Jie Gao
February 9, 2012
The following problems are due in 2 weeks (Feb 23rd) before class.
1. Let S be a set of triangles in the plane. The boundaries of the triangles are di
AMS 545/CSE 555
Joe Mitchell
Another Practice Final Solution Notes
(1). [15 points] For the set S of 8 points shown below, do the following:
(a). Draw the (Euclidean) Delaunay diagram. In order to ass
AMS 545/CSE 555
Joe Mitchell
Another Practice Final
(1). [15 points] For the set S of 8 points shown below, do the following:
(a). Draw the (Euclidean) Delaunay diagram. In order to assist you in maki
AMS 545/CSE 555
Joe Mitchell
COMPUTATIONAL GEOMETRY
Practice Final
Statistics: n = 36, = 67.6, median 67, = 12.8; score range: 4293
(1). [12 points] For the set S of 7 points shown below, do the follo
AMS 545/CSE 555
Joe Mitchell
COMPUTATIONAL GEOMETRY
Practice Final Solution Notes
Statistics: n = 36, = 67.6, median 67, = 12.8; score range: 4293
(1). [12 points] For the set S of 7 points shown belo
AMS 545/CSE 555
Joe Mitchell
Notes on Voronoi and Delaunay Diagrams
Let S = cfw_p1 , . . . , pn be a set of n points (sites) in the plane.
Denition of Voronoi diagram. For any subset Q S of sites we
AMS 545/CSE 555 (Spring, 2013)
Joe Mitchell
Quiz # 5 Solution Notes
Statistics: n = 45, = 18.93, median 20, quartile Q1=17, quartile Q3=22, = 4.05; score range: 4-25.
(1). In the gure below, we show w