M5740 Mathematics for Computer Graphics

Faculty of Science
Autumn 2009
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jan Paseka, CSc. (lecturer)
Guaranteed by
prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Wed 10:00–11:50 MP2,01014a, Wed 12:00–12:50 MP2,01014a
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The basic goal of the course is the introduction of the student to establish the mathematical basics of mathematics for computer graphics. Some applications of mathematics for computer graphics are mentioned. At the end of this course, students should be able to: understand rudiments of mathematics for computer graphics; explain basic notions and relations among them.
Syllabus
  • Introduction. A very abstract summary. History. Outline of the course. Aplications; geometric transformations. Bézier's method. Curves and surfaces. Bézier's segments. Rational Béezier's segments. Quality criterions. Differential geometry. B-Spline method. Splines and B-Splines. B-spline curves. Interpolation and Approximation. Interpolation with curves. Interpolation of surfaces. Approximation.
Literature
  • Abramowski S., Mueller H., Geometrisches Modellieren, Mannheim 1991
  • ŽÁRA, Jiří, Bedřich BENEŠ and Petr FELKEL. Moderní počítačová grafika. Vyd. 1. Praha: Computer Press, 1998, xvi, 448. ISBN 8072260499. info
  • SOCHOR, Jiří, Bedřich BENEŠ, Petr FELKEL and Jiří ŽÁRA. Vizualizace (Vizualization). 1st ed. Praha: FEL ČVUT Praha, 1997, 197 pp. ISBN 80-01-01582-3. info
  • SOCHOR, Jiří, Jiří ŽÁRA and Bedřich BENEŠ. Algoritmy počítačové grafiky. 2. přeprac. vyd. Praha: ČVUT, 1996, 184 s. ISBN 8001014061. info
Teaching methods
Lectures: theoretical explanation with practical examples Exercises: solving problems for understanding of basic concepts and theorems, contains also more complex problems, homeworks. Students will be asked to have an active participation at seminars and a written homework that will be lectured at some seminar. The theme will be chosen after the negotiation with the lecturer.
Assessment methods
Lecture with a seminar. Examination is oral with a written preparation. The success at the examination is based on providing an exposition with respect to a chosen chapter.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught once in two years.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2001, Autumn 2003, Autumn 2005, Autumn 2007.
  • Enrolment Statistics (recent)
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