کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441156 691388 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Role of moving planes and moving spheres following Dupin cyclides
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Role of moving planes and moving spheres following Dupin cyclides
چکیده انگلیسی


• Explicit Representations of three μ-basis elements for a standard cyclide.
• An algorithm of determining the key information of a cyclide from its implicit equation.
• An algorithm of computing a μ-basis for a cyclide.
• The role of moving planes and moving spheres played in cyclide.

We provide explicit representations of three moving planes that form a μ-basis for a standard Dupin cyclide. We also show how to compute μ-bases for Dupin cyclides in general position and orientation from their implicit equations. In addition, we describe the role of moving planes and moving spheres in bridging between the implicit and rational parametric representations of these cyclides.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 31, Issues 3–4, March–May 2014, Pages 168–181
نویسندگان
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