A closed-form formulation of HRBF-based surface reconstruction by approximate solution
A closed-form formulation of HRBF-based surface reconstruction by approximate solution
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基于 HRBF 的近似解表面重建的闭式表述
DOI：
10.1016/j.cad.2016.05.001
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发表时间：
2016-09-01
影响因子：
4.3
通讯作者：
Wang, Jun
中科院分区：
文献类型：
--
作者：
Liu, Shengjun;Wang, Charlie C. L.;Wang, Jun
Hermite径向基函数（HRBFs）是一种基于离散Hermite数据点的曲面重构方法。在这项工作中，我们提出了一个封闭形式的配方来构建基于HRBF的隐式的准解近似的确切的。提出了一种自动调整基函数支撑尺寸以保持拟解误差界的方法。我们的方法可以生成一个隐式函数从位置和法线的散乱点，而不采取任何全局操作。在我们的实验测试中，观察到从各种场景中捕获的真实的数据的鲁棒性和有效的重建。(C)2016爱思唯尔有限公司版权所有
The Hermite radial basis functions (HRBFs) implicits have been used to reconstruct surfaces from scattered Hermite data points. In this work, we propose a closed-form formulation to construct HRBF-based implicits by a quasi-solution to approximate the exact one. A scheme is developed to automatically adjust the support sizes of basis functions to hold the error bound of a quasi-solution. Our method can generate an implicit function from positions and normals of scattered points without taking any global operation. Robust and efficient reconstructions are observed in our experimental tests on real data captured from a variety of scenes. (C) 2016 Elsevier Ltd. All rights reserved.