| Title: | Contour curves and isophotes on rational ruled surfaces |
| Authors: | Vršek, Jan |
| Issue Date: | 2018 |
| Publisher: | Elsevier |
| Document type: | článek article |
| URI: | http://hdl.handle.net/11025/30451 |
| ISSN: | 0167-8396 |
| Keywords in different language: | Contour curve;Isophote;Ruled surface;Rational parametrization;Pythagorean normal;Surface reconstruction |
| Abstract in different language: | 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. |
| Rights: | Plný text není přístupný. © Elsevier |
| Appears in Collections: | Články / Articles (KMA) OBD |
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