Systems of coordinates associated with points scattered in the plane

J.L.Brown

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Systems of coordinates associated with points scattered in the plane

机译：与平面中分散的点相关的坐标系

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摘要

We show how to generate systems of coordinate functions associated with points scattered in the plane by taking weighted averages of barycentric coordinate functions. We give two examples of such systems, one of which is equivalent to the system of natural neighbor coordinates when restricted to the convex hull of the scattered point.

机译：我们展示了如何通过获取重心坐标函数的加权平均值来生成与分散在平面中的点相关联的坐标函数系统。我们给出了这样的系统的两个示例，当限制到散射点的凸包时，其中一个等效于自然邻居坐标系。

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来源
《Computer Aided Geometric Design》 |1997年第6期|p.547-559|共13页
作者
J.L.Brown;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Natural nighbor coordinates; Scattered data interpolation;

机译：自然的邻座坐标;分散数据插值;

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2. Spin determination by in-plane angular correlation analysis in various coordinate systems [J] . Biao Yang, Yan-Lin Ye, Jian-Ling Lou, 中国物理C（英文版） . 2019,第008期

机译：在各种坐标系中通过面内角度相关性分析确定自旋
3. The Identification of Nonlinear Systems Using C_（(t)）-K_（(t)） Plane Coordinates [J] . Ming-Fei Chen, Dyi-Cheng Chen, Chung-Heng Yang, Mathematical Problems in Engineering . 2014,第pta3期

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4. Calculation of near-zone electromagnetic fields scattered by complex shape airborne objects and estimation of their angular coordinates by onboard antenna systems [C] . Barkhudaryan, N.V., Sazonov, . 2002

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5. Data reduction for scalar- and vector-valued scattered data in the plane using a multiresolution scheme. [D] . Xie, Shiming. 1995

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6. Surface Fitting for Quasi Scattered Data from Coordinate Measuring Systems [O] . Qing Mao, Shugui Liu, Sen Wang, 2018

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7. A robust method for automatic identification of femoral landmarks, axes, planes and bone coordinate systems using surface models [O] . Maximilian C. M. Fischer, Sonja A. G. A. Grothues, Juliana Habor, 2020

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8. An Examination of Simple Coordinate Transformations in the Z-Plane and W-Plane for Root Locus Analysis of Sampled-Data Systems [R] . Kozoil, J. S. 1970

机译：用于采样数据系统根轨迹分析的Z平面和W平面简单坐标变换的检验

Systems of coordinates associated with points scattered in the plane

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