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.

Issue Section:
Research Papers
Topics:
Density, Surface characterization
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,
1971
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Autoregressive Model Fitting for Control
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2.
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Cheng
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DeVries
W. R.
,
1979
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Autoregressive Time Series Models for Surface Profile Characterization
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6.
DeVor
R. E.
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Wu
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,
1972
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Surface Profile Characterization by Autoregressive-Moving Average Models
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832
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7.
Gu
X.
, and
Huang
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,
1990
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The Modelling and Simulation of a Rough Surface
,”
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8.
Hong, M. S., 1994, “Generation, Characterization and Synthesis of Engineering Surfaces,” Ph.D. thesis. Northwestern University, Evanston, IL., USA.
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Kay
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, and
Marple
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11.
Lim, J. S., 1990, Two-Dimensional Signal and Image Processing, Prentice Hall, Englewood Cliffs, NJ.
12.
Nayak
P. R.
,
1971
, “
Random Process Model of Rough Surfaces
,”
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13.
Pandit, S. M., and Wu, S. M., 1983, Time Series and System Analysis with Applications, Wiley, New York, NY.
14.
Parzen
E.
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15.
Patir
N.
,
1978
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A Numerical Procedure for Random Generation of Rough Surfaces
,”
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277
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16.
Patir
N.
, and
Cheng
H. S.
,
1978
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An Average Flow Model for Determining Effects of Three-Dimensional Roughness on Partial Hydrodynamic Lubrication
,”
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17
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17.
Rabiner, L. R., and Gold, B., 1975, Theory and Application of Digital Signal Processing, Prentice-Hall, Englewood Cliffs, NJ.
18.
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19.
Sherrington, I., and Smith, E. H., 1988, “Fourier Models of the Surface Topography of Engineering Components,” Surface Topography I, pp. 167–181.
20.
Staufert
G.
,
1979
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Characterization of Random Roughness-profiles—a Comparison of AR-model Technique and Profile Description by means of Commonly Used Parameters
,”
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, Vol.
28
/
1
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431
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435
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21.
Watson
W.
, and
Spedding
T. A.
,
1982
, “
The Time Series Modelling of Non-Gaussian Engineering Processes
,”
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215
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231
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22.
Whitehouse
D. J.
, and
Phillips
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,
1982
, “
Two-Dimensional Discrete Properties of Random Surfaces
,”
Phil. Trans. Royal Society of London
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23.
Whitehouse
D. J.
,
1983
, “
The Generation of Two-Dimensional Random Surfaces Having a Specified Function
,”
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, Vol.
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/
1
, pp.
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498
.
24.
Whitman, E., 1974, “The Spectral Analysis of Discrete Time Series in terms of Linear Regressive Models,” Naval Ordnance Labs Rep., NOLTR-70-109, White Oak, MD.
25.
You, S. J., 1989, “Synthesis and Generation of Milled and Polished Surfaces under Tertiary Cutter Motion,” Ph.D. thesis. Northwestern University, Evanston, IL., USA.
26.
Zhou, G., Leu, M., Geskin, E., Chung, Y., and Chao, J., 1992, “Investigation of Topography of Waterjet Generated Surfaces,” WAM of ASME, Vol. 62, Engineered Surfaces, pp. 191–202.
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