Thesis supervisor: Miklós Hoffmann
Location of studies (in Hungarian): University of Debrecen Faculty of Informatics Abbreviation of location of studies: DE IK
Description of the research topic:
Syllabus
Standard types of curves and surfaces in computer aided geometric modelling are developed in the 90’s. These are curves and surfaces given by the combination of control points and basis functions: Bézier, B-spline, NURBS curves and surfaces. These curves and surfaces are applied in standard CAD systems today. On the other hand, subdivison curves and surfaces are recently developed for animation purposes, where the basic idea is the repeated subdivision of a triangulated polyhedron by a specified rule, which finally yields a sufficiently smooth surface. The computation, generalization and application of these curve and surface types to specified problems are in the focus of this project.
Bibliography
1. Farin, Gerald. Curves and surfaces for computer-aided geometric design: a practical guide. Elsevier, 2014.
2. Piegl, L., Tiller, W. The NURBS book, Springer-Verlag, Berlin, 1995.
3. Zorin, D., Schröder, P.: Subdvision for Modeling and Animation, SIGGRAPH Course Notes, 2000
4. Peters, J., Reif, U.: Subdivision surfaces, Springer-Verlag, Berlin, 2008.
5. Huang, W., Russell, R.: Adaptive Moving Mesh Methods, Springer-Verlag, Berlin, 2011.