Rational Framing Motions and Spatial Rational Pythagorean Hodograph Curves
| dc.authorid | Sir, Zbynek/0000-0003-1701-5973 | |
| dc.authorid | Schrocker, Hans-Peter/0000-0003-2601-6695 | |
| dc.authorid | Kalkan Tasdemir, Bahar/0000-0001-5740-2180 | |
| dc.authorscopusid | 57348892100 | |
| dc.authorscopusid | 57202781131 | |
| dc.authorscopusid | 8839967500 | |
| dc.authorscopusid | 23393572100 | |
| dc.authorwosid | Šír, Zbyněk/Hof-8672-2023 | |
| dc.authorwosid | Kalkan, Bahar/Gsn-3399-2022 | |
| dc.contributor.author | Kalkan, Bahar | |
| dc.contributor.author | Scharler, Daniel F. | |
| dc.contributor.author | Schroecker, Hans-Peter | |
| dc.contributor.author | Sir, Zbynek | |
| dc.date.accessioned | 2025-05-10T17:20:55Z | |
| dc.date.available | 2025-05-10T17:20:55Z | |
| dc.date.issued | 2022 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Kalkan, Bahar] Van Yuzuncu Yil Univ, Dept Math, TR-65090 Van, Turkey; [Scharler, Daniel F.] Karl Franzens Univ Graz, Inst Math & Sci Comp, Heinrichstr 4, A-8010 Graz, Austria; [Schroecker, Hans-Peter] Univ Innsbruck, Dept Basic Sci Engn Sci, Tech Str 13, A-6020 Innsbruck, Austria; [Sir, Zbynek] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675, Czech Republic | en_US |
| dc.description | Sir, Zbynek/0000-0003-1701-5973; Schrocker, Hans-Peter/0000-0003-2601-6695; Kalkan Tasdemir, Bahar/0000-0001-5740-2180 | en_US |
| dc.description.abstract | We propose a new method for constructing rational spatial Pythagorean Hodograph (PH) curves based on determining a suitable rational framing motion. While the spherical component of the framing motion is arbitrary, the translation part is determined be a modestly sized and nicely structured system of linear equations. Rather surprisingly, generic input data will only result in polynomial PH curves. We provide a complete characterization of all cases that admit truly rational (non-polynomial) solutions. Examples illustrate our ideas and relate them to existing literature. | en_US |
| dc.description.sponsorship | Czech Science Foundation; BIDEB 2211-E scholarship programme of The Scientific and Technological Research Council of Turkey; Zbynek Sir [20-11473S] | en_US |
| dc.description.sponsorship | Acknowledgement Zbynek Sir was supported by the grant 20-11473S of the Czech Science Foundation. Bahar Kalkan was supported by the BIDEB 2211-E scholarship programme of The Scientific and Technological Research Council of Turkey. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1016/j.cagd.2022.102160 | |
| dc.identifier.issn | 0167-8396 | |
| dc.identifier.issn | 1879-2332 | |
| dc.identifier.scopus | 2-s2.0-85141505932 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cagd.2022.102160 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/10237 | |
| dc.identifier.volume | 99 | en_US |
| dc.identifier.wos | WOS:000892772100001 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Rational Curve | en_US |
| dc.subject | Tangent Indicatrix | en_US |
| dc.subject | Euler-Rodrigues Frame | en_US |
| dc.subject | Rational Motion | en_US |
| dc.subject | Motion Polynomial | en_US |
| dc.subject | Spherical Motion | en_US |
| dc.title | Rational Framing Motions and Spatial Rational Pythagorean Hodograph Curves | en_US |
| dc.type | Article | en_US |