Space curves with Pythagorean Hodograph
| Thesis title in Czech: | Prostorové křivky s Pythagorejským hodographem |
|---|---|
| Thesis title in English: | Space curves with Pythagorean Hodograph |
| Key words: | repér|pythagorejský hodograf|sférický pohyb|racionální křivky |
| English key words: | frame|pythagorean hodograph|rational curves|spherical motion|rotation-minimizinh curves |
| Academic year of topic announcement: | 2021/2022 |
| 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: | 17.03.2022 |
| Date of assignment: | 17.03.2022 |
| Confirmed by Study dept. on: | 22.03.2022 |
| Date and time of defence: | 06.09.2023 09:00 |
| Date of electronic submission: | 19.07.2023 |
| Date of submission of printed version: | 24.07.2023 |
| Date of proceeded defence: | 06.09.2023 |
| Opponents: | Michal Bizzarri |
| Guidelines |
| Student se seznámí (a přehledně zpracuje) s definicí a zákládními vlastnostmi PH křivek, souvisejících interpolačních algoritmů a asociovaného racionálního pohybu. |
| References |
| R. T. Farouki, Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable, Springer 2008.
R. T. Farouki, M. al-Kandari and T. Sakkalis, Hermite interpolation by rotation invariant spatial Pythagorean-hodograph curves. Adv. Comput. Math. 17, 369-383, 2002. Šír, Z. and Jüttler, B. C2 Hermite interpolation by Pythagorean Hodograph space curves. In Mathematics of Computation, 76 (259): 1373-1391, 2007. |