A Closed-Form Formulation of HRBF-Based Surface Reconstruction

Release time:2016-04-28

Journal:Computer-aided Design

Abstract: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 approximating the exact solution. 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. Working together with an adaptive sampling algorithm, the HRBF-based implici

Co-author:Charlie C. L. Wang, Guido Brunnett, Jun Wang

First Author:Shengjun Liu

Document Type:J

Volume:2016

Translation or Not:no

Date of Publication:2016-08-20

Links to published journals:https://scirate.com/arxiv/1507.02860