Universitatea Babeş-Bolyai Cluj-Napoca
Facultatea de Matematică şi Informatică
Ciclul de studii: Licenţă
Domeniul: Informatică
Programul de studii: Informatică - în limba engleză
Limba de predare: Engleză

SYLLABUS

I. General data
Code	Subject	
MG023	Algebraic Geometry and Computer Graphics	

Semester	Hours: C+S+L	Category	Status	
8	2+2+0		optional	

II. Full status faculty members
Name and	Scientific	Didactic	Chair	Type of activity	
surname	title	title		C	S	L	
TOPAN Liana Manuela	Ph.D.	Lect.	Geometry	*			

Associated faculty members
Name and	Scientific	Institution	Type of	Type of activity	
surname	title		position	C	S	L	

III. Course objectives
The purpose of the course is to provide a systematical presentation of the main methods of computer representation of curves and surfaces, using simpler curves and surfaces and interpolation techniques. At the end of the course, the students should be able to choose the most simple and most efficient methods to represent these objects by computer. The seminary and the laboratory will approach different concrete aspects of implementation of the algorithms, as well as a series of practical applications	

IV. Course contents

V. Bibliography
1. BECKER, TH. - WEISPFENNING, V.: Groebner Bases: A Computational Approach to Commutative Algebra, Springer, 1993
2. BOEHM, W. - PRAUTZSCH, H.:  Geometric Concepts for Geometric Design, A.K. Peters, 1993
3. COX, D. - LITTLE, J. - O'SHEA, D.: Ideal, Varieties and Algorithms, Springer, 1992
4. EGERTON, P.A. - HALL, W.S.:  Computer Graphics: Mathematical First Steps, Prentice Hall, 1999
5. FARIN, G.: Curves and Surfaces for Computer Aided Geometric Design, Academic Press, 1990
6. FOLEY, J.D. - VAN DAM, A. - FEINER, S.K.-HUGHES, J.F.: Computer Graphics: Principles and Practice in C (ed. a doua),  Addison-Wesley, 1995
7. GLAESER, G., SCHRÖCKER, H-P.:, Handbook on Geometric Programming using Open Geometry GL, Springer, 2002
8. HEARN, D., BAKER, M.P.:  Computer Graphics, C Version (ed. a doua), Prentice Hall, 1996
9.  MORTENSON, M.: Geometric Modeling (ed. a doua), John Wiley, 1997
10. ROGERS, D.F. - ADAMS,  J.A.: Mathematical Elements for Computer Graphics, McGraw-Hill, 1990
11. SCHNEIDER, P.J. - EBERLY, D.H.: Geometric Tools for Computer Graphics,  Morgan Kauffman, 2003

VI. Thematic of didactic activities per weeks

VII. Didactic methods used

VIII. Assessment
Exam.	

IX. Additional references

	Date,							Course responsible,
								Lect. TOPAN Liana Manuela, Ph.D.