Preconditioned progressive iterative approximation for tensor product Bézier patches

Chengzhi Liu, Zhongyun Liu and Xuli Han

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 185, issue C, 372-383

Abstract: Based on the diagonally compensated reduction, the preconditioned progressive iterative approximation (PPIA) for tensor product Bézier patches is presented. Due to the effectiveness of the preconditioner, the convergence rate of progressive iterative approximation (PIA) is accelerated significantly. To improve the robustness and reduce the computational complexity of PPIA, the inexact PPIA format for tensor product Bézier patches is presented. Several numerical examples are presented to illustrate the effectiveness of the proposed methods.

Keywords: PPIA; Tensor product Bézier patch; Diagonally compensated reduction; Preconditioning technique; IPPIA (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:185:y:2021:i:c:p:372-383

DOI: 10.1016/j.matcom.2021.01.002

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