کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10336886 | 692277 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: 3D scattered data interpolation and approximation with multilevel compactly supported RBFs 3D scattered data interpolation and approximation with multilevel compactly supported RBFs](/preview/png/10336886.png)
چکیده انگلیسی
In this paper, we propose a hierarchical approach to 3D scattered data interpolation and approximation with compactly supported radial basis functions. Our numerical experiments suggest that the approach integrates the best aspects of scattered data fitting with locally and globally supported basis functions. Employing locally supported functions leads to an efficient computational procedure, while a coarse-to-fine hierarchy makes our method insensitive to the density of scattered data and allows us to restore large parts of missed data. Given a point cloud distributed over a surface, we first use spatial down sampling to construct a coarse-to-fine hierarchy of point sets. Then we interpolate (approximate) the sets starting from the coarsest level. We interpolate (approximate) a point set of the hierarchy, as an offsetting of the interpolating function computed at the previous level. The resulting fitting procedure is fast, memory efficient, and easy to implement.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Graphical Models - Volume 67, Issue 3, May 2005, Pages 150-165
Journal: Graphical Models - Volume 67, Issue 3, May 2005, Pages 150-165
نویسندگان
Yutaka Ohtake, Alexander Belyaev, Hans-Peter Seidel,