Mathematical Foundations of Computer Graphics

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Department of Technical Mathematics

Synopsis:

Foundations of non-uniform rational B-spline (NURBS) representation.

Freeform approximation curves and surfaces (NURBS, B-spline, Bézier curve and surface, Coons cubic curve).

Freeform interpolation curves and surfaces (NURBS, B-spline, Coons surface, Ferguson cubic curve and Ferguson patch).

Continuity of two curves.

Surfaces patching.

Applications in mechanical engineering.

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Study materials:

Linkeová, I. – Skalník, P. – Zelený, V.: Calibrated CAD model of freeform standard, In: XXI IMEKO World Congress Measurement in Research and Industry, 2015, Prague, Czech Republic

Farin, G.: Curves and Surfaces for Computer Aided Geometric Design, 2001, Elsevier

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

Linkeová, I.: Curves and Surfaces for Computer Graphics, 2008, textbook, ČVUT.

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Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: