Quasi-interpolants based multilevel b-spline surface reconstruction from scattered data

Authors:
Byung-Gook Lee;Joon-Jae Lee;Ki-Ryoung Kwon
Affiliations:
Division of Internet Engineering, Dongseo University, Busan, Korea;Division of Internet Engineering, Dongseo University, Busan, Korea;Division of Computer and Electronic Engineering, Pusan University of Foreign Studies, Busan, Korea
Venue:
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Year:
2005

Citing 5
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Some examples of quasi-interpolants constructed from local spline projectors

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Scattered Data Interpolation with Multilevel B-Splines

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Parameterization and Reconstruction from 3D Scattered Points Based on Neural Network and PDE Techniques

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Functional networks for B-spline surface reconstruction

Future Generation Computer Systems

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Abstract

This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasi-interpolants to compute the control points from a coarse to fine hierarchy to generate a sequence of bicubic B-spline functions whose sum approaches to the desired interpolation function. Quasi-interpolants gives a procedure for deriving local spline approximation methods where a B-spline coefficient only depends on data points taken from the neighborhood of the support corresponding B-spline. Experimental results demonstrate that high-fidelity reconstruction is possible from a selected set of irregular samples.