A closed-form formulation of HRBF-based surface reconstruction by approximate solution

Journal article (2016)

Authors

S. Liu Central South University

C.C. Wang Materials and Manufacturing -

G. Brunnett Chemnitz University of Technology

Jun Wang Nanjing University of Aeronautics and Astronautics

Research Group

Materials and Manufacturing () (TU Delft)

Surface reconstruction Hermite Radial Basis Functions Quasi-solution Closed-form

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http://resolver.tudelft.nl/uuid:4c407da2-de00-4488-b9b3-f2d9c809e4a8

Published Date

2016

Language

English

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Faculty

Industrial Design Engineering

Department

Sustainable Design Engineering

Research Group

Materials and Manufacturing

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 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.