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Freeform Shape Reconstruction Using Parametric Regression Spline

[+] Author Affiliations
Giovanni Moroni

Politecnico di Milano, Milano, Italy

Marco Rasella

Fonderie Alluminio S.p.A., Dongo, CO, Italy

Paper No. ESDA2008-59449, pp. 229-235; 7 pages
doi:10.1115/ESDA2008-59449
From:
  • ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 3: Design; Tribology; Education
  • Haifa, Israel, July 7–9, 2008
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4837-1 | eISBN: 0-7918-3827-7
  • Copyright © 2008 by ASME

abstract

In inspection or reverse engineering, free-form shapes are reconstructed from a large set of sampled points. Since point acquisition error is unavoidable, shape fitting should be based on a rigorous diagnostic phase. In this paper, a new parametrical form of regression spline is introduced. The method applies statistical regression analysis, with the error treated as a variable of the problem. Hence, during the reconstruction process we distinguish between the systematic behavior of the sampled points, which represents the part shape, and the hi-frequency behavior of noise. This distinction leads to realistic and efficient reconstruction of complex parts. Both the multi-valued and the closed curves and surfaces of smooth and non-homogeneous types are represented. This work presents the method and demonstrates its feasibility on freeform parts applied to a new parametrical form of regression spline.

Copyright © 2008 by ASME
Topics: Splines , Shapes

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