NDLI: Combined Polynomial and Periodic Moments for the Analysis of Measured 3D Surfaces

Content Provider	IEEE Xplore Digital Library
Author	O'Leary, P. Harker, M. Suesut, T.
Copyright Year	2008
Description	Author affiliation: Inst. for Autom., Univ. of Leoben, Leoben (O'Leary, P.; Harker, M.; Suesut, T.)
Abstract	This paper presents a new method of modelling and analyzing 3D surface data; for example, acquired using a laser scanning instrument. A new concept of combining periodic (e.g. FFT, DCT) with polynomial moments (e.g. Tchebichef moments) is presented. Whereby, QR decomposition is used to obtain a unary basis, minimizing the numerical effort when modelling surfaces. The new basis, being unary, is optimal from an error propagation point of view. It is shown that the new method can eliminate some of the problems associated with the Gibbs phenomena. The method is fully invertible, in contrast to applying windowing. The method is also applied to real-time modelling of 3D surface encountered to separate the global geometric from, periodic undulations and local anomalies. Real measurement data from an 3D scanning laser instrument is used to demonstrate the method.
Starting Page	354
Ending Page	358
File Size	5049962
Page Count	5
File Format	PDF
ISBN	9781424415403
ISSN	10915281
DOI	10.1109/IMTC.2008.4547060
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-05-12
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Instruments Surface emitting lasers Data analysis Inspection Laser modes Discrete cosine transforms Numerical models Solid modeling Prototypes Orthogonal projections Tchebichef polynomials and moments Fourier basis Discrete cosine basis 2D Modelling
Content Type	Text
Resource Type	Article
Subject	Instrumentation Electrical and Electronic Engineering

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