Subdivision krivky a ich konvergencia

• Thesis title in thesis language (Slovak): Subdivision krivky a ich konvergencia
• Thesis title in Czech: Subdivision křivky a jejich konvergence
• Thesis title in English: Subdivision curves and their convergence
• Key words: subdivision|krivky|konvergencia|Exponenciálna schéma
• English key words: subdivision|curves|convergence|Exponential scheme
• Academic year of topic announcement: 2021/2022
• Thesis type: Bachelor's thesis
• Thesis language: slovenština
• Department: Mathematical Institute of Charles University (32-MUUK)
• Supervisor: doc. RNDr. Zbyněk Šír, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 10.12.2021
• Date of assignment: 10.12.2021
• Confirmed by Study dept. on: 17.12.2021
• Date and time of defence: 20.06.2022 10:00
• Date of electronic submission: 12.05.2022
• Date of submission of printed version: 16.05.2022
• Date of proceeded defence: 20.06.2022
• Opponents: RNDr. Petra Surynková, Ph.D.

Guidelines

Student vysvětlí několik subdivision schémat pro rovinné křivky. Pro některé z nich popíše problematiku jejich konvergence. Vše doprovodí příklady.

References

Joe Warren, Joseph D. Warren, Henrik Weimer, Morgan Kaufmann, Subdivision Methods for Geometric Design: A Constructive Approach, 2002
P. Chalmovianský, B. Jüttler, A non-linear circle-preserving subdivision scheme, Advances in Computational Mathematics 27 (4), 375-400.
Kosinka, J., Sabin, M., Dodgson, N., Cubic Subdivision Schemes with Double Knots, Computer Aided Geometric Design, Volume 30, 2013, 45-57.