کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441415 691742 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Detection of critical points of multivariate piecewise polynomial systems
ترجمه فارسی عنوان
تشخیص نقاط بحرانی سیستم چند جمله ای چند ضلعی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی


• A method for detecting critical points of nonlinear algebraic systems.
• Detecting isolated critical points.
• Point cloud approximation for critical varieties of dimension greater than zero.

We propose a general scheme for detecting critical locations (of dimension zero) of piecewise polynomial multivariate equation systems. Our approach generalizes previously known methods for locating tangency events or self-intersections, in contexts such as surface–surface intersection (SSI) problems and the problem of tracing implicit plane curves. Given the algebraic constraints of the original problem, we formulate additional constraints, seeking locations where the differential matrix of the original problem has a non-maximal rank. This makes the method independent of a specific geometric application, as well as of dimensionality. Within the framework of subdivision based solvers, test results are demonstrated for non-linear systems with three and four unknowns.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 40, December 2015, Pages 76–87
نویسندگان
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