Three-Dimensional Surface Characterization by Two-Dimensional Autoregressive Models

Author:

Hong Min S.1,Ehmann Kornel F.1

Affiliation:

1. Department of Mechanical Engineering, Northwestern University, Evanston, IL

Abstract

An attempt is made to characterize and synthesize engineered surfaces. The proposed method, based on two-dimensional difference equations and two-dimensional linear autoregressive models, is not only an analytical tool to characterize but also to generate/synthesize three-dimensional surfaces with desired properties. The developed method expresses important three-dimensional surface characteristics such as the autocorrelation or power spectrum density functions in terms of the two-dimensional autoregressive coefficients.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

Reference26 articles.

1. Akaike H. , 1971, “Autoregressive Model Fitting for Control,” Ann. Inst. Statist. Math., Vol. 23, pp. 163–180.

2. Box, G. E. P., and Jenkins, G. M., 1970, Time Series Analysis: Forecasting and Control, Holden-Day, London.

3. Cheng M. G. , 1969, “The Orthant Probabilities of Four Gaussian Variates,” Ann. Math. Statist., Vol. 40, pp. 152–161.

4. David F. , 1953, “A Note on the Evaluation of the Multivariate Normal Integral,” Biometrika, Vol. 40, pp. 458–459.

5. DeVries W. R. , 1979, “Autoregressive Time Series Models for Surface Profile Characterization,” Annals of the CIRP, Vol. 28/1, pp. 437–440.

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