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To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
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----
Also see AdvancedOptions
<<importTiddlers>>
Precision-sensitive algorithms for Euclidean shortest path;
Integral analysis of algorithms;
Transcendental Number Theory and the Zero Problem;
Decidability of shortest path amidst disc obstacles.
; Mar 25, 2009:
: Midterm solution is posted under the homework page, and midterm grades can be reached at my pmWiki if you follow this [[link | http://cs.nyu.edu/~yap/wiki/pm]] (look under "Grades" under "Teaching").

;Mar 8, 2009:
: Midterm Exam, in class on Mar 11.  Closed book, based on Lectures 1-5.  For chapter 2, read sections 1,2,6,7, focusing on sections 2 and 7.

;Jan 22, 2009:
: Please pick up the updated Lectures 1 and 2

;Jan 9, 2009:  
: ''Welcome'' to my Computational Geometry Course for Spring 2009 !!

convex hulls,
Delaunay triangularion and Voronoi diagrams,
motion planning,
curves and surfaces,
mesh generation,
polyhedral modeling.
Algorithms for constructing convex hulls and Voronoi diagrams, mesh generation and planning robot motionare examples of geometric algorithms.  Such algorithms arise in many applied areas including numerical simulation, computer graphics, robotics and engineering design.  Although there is much theoretical investigation of such algorithms, the implementation issues are just beginning to be studied.  Foremost among the practical
concerns is numerical robustness.  This forms the background for this course.

This course will focus on a new approach to robustness known as ''Exact Geometric Computation'' (EGC).  In the computational
geometry community, EGC has emerged in the last decade as the most successful among many proposed approaches to non-robustness.  Major software libraries such as LEDA and CGAL are committed to EGC principles.  In this course, we will examine both the theoretical foundations
as well as practical aspects.  Relevant parts of numerical and algebraic number computation will be provided.

The lectures will be based on a [[book manuscript|Lecture Notes]] by Yap and Mehlhorn.

A software project is expected in this course.  This will be based on the Core Library Platform developed at NYU.

Here are some representative topics to be covered:

<<tabs cookie-topics
   "Basic Geometric Problems" "problems and algorithms" [[Basic Geometric Problems]]
   "Techniques in EGC" "what is needed to achieve EGC" [[EGC Techniques]]
   "Advance Topics" "as time permits" [[Advanced EGC]]
>>







; Prerequisites:
: Fundamental Algorithms, Knowledge of C or C++.
; Contact:
: Chee Yap (yap(at)cs.nyu.edu),  #212-998-3114, Room 301, Warren Weaver Hall
; Lectures:
: Wed 5:00-7:00, Room 312, Warren Weaver Hall
; Textbook:
: We will provide lecture notes -- it it based on the [[book by Mehlhorn and Yap|http://cs.nyu.edu/faculty/yap/bks/egc]]
; Grades:
: 30% Homework, 40% Quizzes, 30% Final Project (there is no final exam)

[[Welcome]]
machine floating-point arithmetic; interval methods.
bigNumber packages,
floating point filter,
algebraic numbers,
root and evaluation bounds,
incremental computation,
sensitivity analysis.
All homeworks are in this [[directory|http://cs.nyu.edu/~yap/classes/cg/09s/hw/]]

* The homeworks are all in one file, and will be cumulative over the semester.  

The lecture notes may be found [[here|http://cs.nyu.edu/faculty/yap/bks/egc]].

We will allocate one or two weeks for each of the chapters in this lecture notes.

The chapters will be updated as we go.
[[Welcome]]
[[Course Description]]
[[Course Mechanics]]
-------------
[[Announcements]]
[[Lecture Notes]]
[[Homework]]
-----------
[[Exact Homepage |http://cs.nyu.edu/exact]]
[[Core Library |http://cs.nyu.edu/exact/core/download/core-2.0]]
[[Chee's pmWiki | http://cs.nyu.edu/~yap/wiki/pm]]

Spring 2009, G22.3033-001
Computational Geometry Course
Welcome to the Computational Geometry Course Page!!

- - - Chee Yap