0
TECHNICAL PAPERS

Application of Regression Spline to Reverse Modeling

[+] Author and Article Information
Giovanni Moroni

Dipartimento di Meccanica,  Politecnico di Milano, via Bonardi n. 9, I-20133 Milano, Italygiovanni.moroni@polimi.it

Marco Rasella

Dipartimento di Meccanica,  Politecnico di Milano, via Bonardi n. 9, I-20133 Milano, Italymarco.rasella@polimi.it

J. Comput. Inf. Sci. Eng 7(1), 95-101 (Oct 26, 2006) (7 pages) doi:10.1115/1.2424245 History: Received September 30, 2005; Revised October 26, 2006

When dealing with inspection or reverse modeling, the problem of free-form curves and surfaces reconstruction has to be faced starting from a set of measured points. Because in point sampling the acquisition error is unavoidable, curves and surfaces fitting should be based on a rigorous diagnostic phase. We consider statistical regression analysis in which, treating error as a variable of the problem, we distinguish between the systematic behavior of measured points and noise in the reconstruction of curves and surfaces. The model we introduce for a regression based free-form reconstruction is the so-called regression spline. It is a well known model in the literature, with a consolidated theory and applications in fields such as chemical, econometric, and biomedical. Our purpose is to discuss the application of this powerful and flexible approach in a reverse modeling environment.

FIGURES IN THIS ARTICLE
<>
Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Proposed approach

Grahic Jump Location
Figure 2

Initial shoe sole profile measured points

Grahic Jump Location
Figure 3

Final shoe sole reconstructed profile and knots position

Grahic Jump Location
Figure 4

Initial sets of data

Grahic Jump Location
Figure 5

Residuals histogram

Grahic Jump Location
Figure 6

Fitted curve and knots position

Grahic Jump Location
Figure 7

Fitted aeronautic panel surface

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In