COSC 6114
Prof. Andy Mirzaian
Voronoi Diagrams
&
Delaunay Triangulations
VoronoiDiagram&DelaunayTriangualtion
Algorithms
Divide-&-Conquer
Plane Sweep
Lifting into d+1 dimensions
Edge-Flip
Randomized Incremental Construction
Applications
Proximity space pa
15-453
FORMAL LANGUAGES,
AUTOMATA AND
COMPUTABILITY
NON-DETERMINISM and
REGULAR OPERATIONS
THURSDAY JAN 16
UNION THEOREM
The union of two regular languages
is also a regular language
Regular Languages Are Closed Under Union
INTERSECTION THEOREM
The inters
CS 4810: Homework 3
due 09/19 11:59pm
Matvey Soloviev ms2837
Collaborators: David Steurer.
Each problem is worth 20 points.
Problem 1
Let M be a non-deterministic nite automaton. Show that there exists a nondeterministic nite automaton M with the same lan
Recitation 10
Xiang Xiao
Q1
The following two languages is the complement of a simpler language. Construct a DFA for the simpler
language, then use it to give the state diagram of a DFA for the language given. = cfw_a, b.
cfw_w | w is any string not in (a
Claim 1: The Regular languages are closed under reverse.
Proof: Given a regular language A, show that the language AR is regular.
Since A is regular, there is a DFA M = Q, , , q0 , F that recognizes it.
From this construct an NFA M that recognizes AR .
Co
Polygon Triangulation
A polygonal curve is a nite chain of line segments. Line segments called edges, their endpoints called vertices. A simple polygon is a closed polygonal curve without self-intersection.
Simple Polygon
NonSimple Polygons
By Jordan Th
Structure from Motion
Computer Vision
CSE576, Spring 2008
Richard Szeliski
Todays lecture
Geometric camera calibration
camera matrix (Direct Linear Transform)
non-linear least squares
separating intrinsics and extrinsics
focal length and optic center
- Chapter 2 Treatment of Data
where the left-hand column gives the ten digits 10, 20, 30, 40, and 50. In the
last step, the leaves are written in ascending order. The three numbers in the
ﬁrst row are 12, 15, and 17. This table is called a stem—and-ieaf d
15-453
FORMAL LANGUAGES,
AUTOMATA AND
COMPUTABILITY
(For next time: Read Chapter 1.3 of the book)
1
1
q2
q4
0
0
q1
2
q3
A non-deterministic finite automaton (NFA)
is a 5-tuple N = (Q, , , Q0, F)
Q is the set of states
is the alphabet
: Q 2Q is the trans
CS 6463: AT Computational Geometry
Fall 2006
Triangulations and
Guarding Art Galleries
Carola Wenk
9/7/0
CS 6463: AT Computational Geometry
1
Guarding an Art Gallery
Region enclosed by simple polygonal
chain that does not self-intersect.
Problem: Given t