Nonuniform Rational B-Spline (NURBS) in Mechanical Engineering

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Technical Mathematics

Synopsis:

The subject deals with NURBS representation - the theoretical base of modern mathematical models for free-form curves and surfaces. The lectures are focused on practical applications of approximation and interpolation NURBS curves and surfaces in mechanical engineering, e.g. approximation and interpolation free-form curves and surfaces modelling and generation of tool path for NC machining.

Requirements:

Syllabus of lectures:

The subject deals with NURBS representation - the theoretical base of modern mathematical models for free-form curves and surfaces. The lectures are focused on practical applications of approximation and interpolation NURBS curves and surfaces in mechanical engineering, e.g. approximation and interpolation free-form curves and surfaces modelling and generation of tool path for NC machining.

Syllabus of tutorials:

The subject deals with NURBS representation - the theoretical base of modern mathematical models for free-form curves and surfaces. The lectures are focused on practical applications of approximation and interpolation NURBS curves and surfaces in mechanical engineering, e.g. approximation and interpolation free-form curves and surfaces modelling and generation of tool path for NC machining.

Study Objective:

Study materials:

Linkeová, I.: NURBS křivky (Neuniformní racionální B-spline křivky), monografie ČVUT, Praha 2007.

Linkeová, I.: Základy počítačového modelování křivek a ploch, skriptum ČVUT, Praha 2008.

L. Piegl, W. Tiller: The NURBS Book, Springer, London, 1997.

Linkeová, I. - Kundrátová, K.: Aproximační NURBS křivky. ČVUT v Praze, Fakulta strojní, 2007. http://puma.feld.cvut.cz/cs/maple/16/

Linkeová, I. - Kundrátová, K.: Interpolační NURBS křivky. ČVUT v Praze, Fakulta strojní, 2007. http://puma.feld.cvut.cz/cs/maple/17/

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: