A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity
| dc.contributor.author | Bizzarri, Michal | |
| dc.contributor.author | Lávička, Miroslav | |
| dc.contributor.author | Kosinka, Jiří | |
| dc.contributor.author | Vršek, Jan | |
| dc.date.accessioned | 2018-09-21T10:00:12Z | |
| dc.date.available | 2018-09-21T10:00:12Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract-translated | We present a direct and local construction for polynomial G1 spline surfaces with a piece-wise Pythagorean normal (PN) vector field. A key advantage of our method is that the constructed splines possess exact piece-wise rational offsets without any need for reparametrisations, which in turn means that no trimming procedure in the parameter domain is necessary. The spline surface consists of locally constructed triangular PN macro-elements, each of which is completely local and capable of matching boundary data consisting of three points with associated normal vectors. The collection of the macroelements forms a G1-continuous spline surface. The designed method is demonstrated on several examples. | en |
| dc.format | 8 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | BIZZARRI, M., LÁVIČKA, M., KOSINKA, J., VRŠEK, J. A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity. Computer-aided design, 2018, roč. 102, č. SEP 2018, s. 44-51. ISSN 0010-4485 | en |
| dc.identifier.document-number | 437817900005 | |
| dc.identifier.doi | 10.1016/j.cad.2018.04.013 | |
| dc.identifier.issn | 0010-4485 | |
| dc.identifier.obd | 43922173 | |
| dc.identifier.uri | http://hdl.handle.net/11025/29946 | |
| dc.language.iso | en | en |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| dc.publisher | Elsevier | en |
| dc.rights | Plný text není přístupný. | cs |
| dc.rights | © Elsevier | en |
| dc.rights.access | closedAccess | en |
| dc.subject.translated | Hermite interpolation | en |
| dc.subject.translated | piece-wise polynomial PN surfaces | en |
| dc.subject.translated | rational offsets | en |
| dc.subject.translated | macro-elements | en |
| dc.title | A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |