Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Theory of Splines - NMNV563

Title:	Teorie spline funkcí
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech, English
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Václav Kučera, Ph.D.
Class:	M Mgr. NVM M Mgr. NVM > Volitelné
Classification:	Mathematics > Numerical Analysis
Incompatibility :	NNUM016
Interchangeability :	NNUM016
Is interchangeable with:	NNUM016

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KNM (28.04.2015)

This course deals with the basis of the theory of splines and their application in numerical mathematics. We derive basic properties and constructions of interpolation and smoothing splines. The theory of approximation by spline functions is emphasized.

Literature - Czech

Last update: T_KNM (15.09.2013)

K. Najzar, Základy teorie splinu, skripta, Nakladatelství Karolinum, Praha, 2006

Ch. Micula and S. Micula, Handbook of splines, 1999

G. Farin, Curves and surfaces for computer aided geometric design, 1988

Syllabus -

Last update: KUCERA4 (20.09.2013)

Polynomial spline functions, basic properties and historical notes.

Construction of local bases. Variational property of the odd-degree splines. B-splines. Periodic, natural, g-splines and L-splines.

Approximation power of splines. Interpolation and smoothing.

Bézier curves and Bernstein approximation.

Spline functions in computer aided geometric design - B-spline curves and surfaces. Spline wavelets. Some application of splines in numerical analysis.

Entry requirements -

Last update: KUCERA4 (20.09.2013)

Fundamentals of numerical mathematics, mathematical analysis and functional analysis.