Title: Contour curves and isophotes on rational ruled surfaces
Authors: Vršek, Jan
Issue Date: 2018
Publisher: Elsevier
Document type: článek
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)

Files in This Item:
File SizeFormat 
1-s2.0-S0167839618300785-main.pdf623,99 kBAdobe PDFView/Open    Request a copy

Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/30451

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

  1. DSpace at University of West Bohemia
  2. Publikační činnost / Publications
  3. OBD