Adaptive fitting with THB-splines: Error analysis and industrial applications

被引：17

作者：

Bracco, Cesare ^{[1
]}

Giannelli, Carlotta ^{[1
]}

Grossmann, David ^{[2
]}

Sestini, Alessandra ^{[1
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Florence, Italy

[2] MTU Aero Engines AG, Munich, Germany

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2018年 / 62卷

关键词：

Scattered data fitting; Hierarchical splines; THB-splines; Local least squares; Quasi-interpolation; Turbine blades; HIERARCHICAL SPLINES; POLYNOMIAL SPLINES; BIVARIATE SPLINES; LOCAL REFINEMENT; T-MESHES; APPROXIMATION; SPACES; EXTENSION;

D O I：

10.1016/j.cagd.2018.03.026

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Automatic fitting techniques are required in many industrial applications, as for example, instrument calibration, data analysis, geometric modeling or reverse engineering. We present an error analysis of advanced techniques for scattered data approximation based on truncated hierarchical B-spline (THB-spline) constructions. The adaptive fitting framework is validated on data of industrial complexity related to geometric models of different aircraft engine parts. We demonstrate that the twofold adaptive nature of the method, which takes into account both the shape and the distribution of the data, is crucial to define an effective fully automatic scheme with suitable local refinement capabilities. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：239 / 252

页数：14

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