Work

Thin-Plate Splines Generalized Interpolation Based on Duchon’s Semi-Norm Minimization Extended to CAD-Compliant Surface Mesh Deformation

Year: 2025

Type: article

Abstract: The Thin-Plate Splines (TPS) technique, using Kybic et al.’s generalized interpolation approach, is extended to differentiable manifolds. The initial application to surface mesh deformation resulting from parameterized Computer Aided Design (CAD) used in the framework of shape optimization is given. Coming to RSM (Response Surface Model), we give a comparison with Kriging and RBF (Radial Basis Functions), and an enrichment methodology is proposed. The new approach proposed is a breakthrough for UAV shape design of high-curvature areas.

Source: Aerospace

DOI: 10.3390/aerospace12090766

Authors: Gilbert Rogé, Ludovic Martin

Institution: Dassault Aviation (France)

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4413683955

FWCI:

Cites: 13

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Related to: 10