Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-70-10-K-6

Spline Functions (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. irreg.
Level [6] Master (General)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-SPAS] Analysis and Stochastics
Livecycle-State [NORM] Active

Contents

  • Spline functions and spline spaces,
  • B-splines,
  • Bézier splines (Bézier polynomials, Algorithm of de Casteljau, Bézier curves, Bézier polynomials over triangles, tensor product Bézier surfaces),
  • B-spline smoothing (deBoor Algorithm).

Literature

  • C. de Boor: A Practical Guide to Splines,
  • C. de Boor: Grundlagen der Geometrischen Datenverarbeitung,
  • G. Farin: Curves and Surfaces for Computer Aided Design,
  • G. Nürnberger: Approximation by Spline Functions,
  • L. Schumaker: Spline Functions: Basic Theory.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-70-10-K-6]

Module Name Context
[MAT-70-10-M-6] Spline Functions P: Obligatory 2V, 3.0 LP
Course-Pool Name
[MAT-70-2V-KPOOL-4] Elective Courses Analysis and Stochastics (2V, B.Sc.)
[MAT-80-2V-KPOOL-4] Elective Courses Modelling and Scientific Computing (2V, B.Sc.)