Discrete differential geometry and its applications
| Thesis title in Czech: | Diskrétní diferenciální geometrie a její aplikace |
|---|---|
| Thesis title in English: | Discrete differential geometry and its applications |
| Key words: | diferenciální geometrie, polygonální síť, diskrétní vektorové pole |
| English key words: | differential geometry, mesh, discrete vector field |
| Academic year of topic announcement: | 2013/2014 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | angličtina |
| 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: | 29.10.2013 |
| Date of assignment: | 29.10.2013 |
| Confirmed by Study dept. on: | 07.11.2013 |
| Date and time of defence: | 11.09.2014 00:00 |
| Date of electronic submission: | 30.07.2014 |
| Date of submission of printed version: | 31.07.2014 |
| Date of proceeded defence: | 11.09.2014 |
| Opponents: | RNDr. Jaroslav Hron, Ph.D. |
| Guidelines |
| The student will study certain elementary notions of the discrete differential geometry (e.g. Gauss and mean curvatures, connections, parallel transport etc.). She will implement some algorithms related to these notions and their applications. |
| References |
| - Do Carmo, M. P., Differential geometry of curves and surfaces, New Jersey 1976
- Pressley, A., Elementary differential geometry, Springer 2010 - Porazilová, A., Nejkratší cesty na diskrétním povrchu, disertační práce, Plzeň 2008 - Advanced Topics in Computer Graphics: Discrete Differential Geometry, online surce, http://www.cs.jhu.edu/~misha/Fall09/ |