کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6876586 1442527 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Contour curves and isophotes on rational ruled surfaces
ترجمه فارسی عنوان
منحنی های کانتور و ایزوفوت ها بر روی سطوح عقلانی حک شده است
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی
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 π/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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 65, October 2018, Pages 1-12
نویسندگان
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