کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6876597 | 1442528 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Spline surface fitting using normal data and norm-like functions
ترجمه فارسی عنوان
اتصالات سطح شکاف با استفاده از داده های نرمال و توابع معمول مانند
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی
This paper is motivated by the geometry reconstruction process for aircraft engines. In order to improve the overall smoothness of the resulting spline surface, we consider the simultaneous approximation of point and normal data. If the normal data to be approximated by one patch is taken from the boundary of its neighbors, this controls the behavior of the resulting spline patch along the boundary and ensures approximate G1-smoothness of the composite surface. We show that for every mesh size there exists a solution to the resulting optimization problem. Optimal convergence is achieved based on an appropriate choice of the weight controlling the relative influence of points and normals, taking the distinct approximation order of splines for points and derivatives into account. In addition we investigate the effect of using norm-like functions for measuring the errors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 64, August 2018, Pages 37-49
Journal: Computer Aided Geometric Design - Volume 64, August 2018, Pages 37-49
نویسندگان
Agnes Seiler, David GroÃmann, Bert Jüttler,