Contour curves and isophotes on rational ruled surfaces
| dc.contributor.author | Vršek, Jan | |
| dc.date.accessioned | 2018-10-21T10:00:14Z | |
| dc.date.available | 2018-10-21T10:00:14Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract-translated | Ruled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the field of applied geometry. An isophote on a surface is a curve consisting of those surface points whose normals form a constant angle with a fixed vector. Choosing the angle equal to pi/2 we obtain a special instance of the isophote - the so called contour curve. While contours on rational ruled surfaces are rational curves, this is no longer true for the isophotes. Hence we will provide a formula for their genus. Moreover we will show that the only surfaces with a rational generic contour are just the rational ruled surfaces and a particular class of cubic surfaces. In addition we will deal with a reconstruction of ruled surfaces from their silhouettes. | en |
| dc.format | 12 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.document-number | 444930100001 | |
| dc.identifier.doi | 10.1016/j.cagd.2018.06.006 | |
| dc.identifier.issn | 0167-8396 | |
| dc.identifier.obd | 43923055 | |
| dc.identifier.uri | http://hdl.handle.net/11025/30451 | |
| 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 | Contour curve | en |
| dc.subject.translated | Isophote | en |
| dc.subject.translated | Ruled surface | en |
| dc.subject.translated | Rational parametrization | en |
| dc.subject.translated | Pythagorean normal | en |
| dc.subject.translated | Surface reconstruction | en |
| dc.title | Contour curves and isophotes on rational ruled surfaces | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |