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PDE patch-based surface reconstruction from point clouds

Abstract: By extending the work published at ICCS 2021 Zhu et al. (2021), in this paper we propose a new method for using multiple explicit PDE surface patches to reconstruct complex 3D shapes from point clouds. Our proposed method includes segmenting a given point cloud into several subsets, parameterizing the points, and fitting one PDE patch to the parameterized points in each of the subsets to reconstruct 3D shapes. Several surface reconstruction examples are presented to demonstrate our proposed method. The comparison with polygon-based surface reconstruction shows fewer design variables and better quality of our method.

 Authorship: Zhu Z., Zheng A., Iglesias A., Wang S., Xia Y., Chaudhry E., You L., Zhang J.,

 Fuente: Journal of Computational Science, 2022, 61, 101647

 Publisher: Elsevier

 Publication date: 01/05/2022

 No. of pages: 12

 Publication type: Article

 DOI: 10.1016/j.jocs.2022.101647

 ISSN: 1877-7503,1877-7511

 Spanish project: TIN2017-89275-R

 European project: info:eu-repo/grantAgreement/EC/H2020/778035/EU/PDE-based geometric modelling, image processing, and shape reconstruction/PDE-GIR/

Authorship

ZHU, ZAIPING

ZHENG, ANZONG

WANG, SHUANGBU

XIA, YU

CHAUDHRY, EHTZAZ

YOU, LIHUA

ZHANG, JIANJUN