scholarly journals Texture roughness analysis and synthesis via extended self-similar (ESS) model

1995 ◽  
Vol 17 (11) ◽  
pp. 1043-1056 ◽  
Author(s):  
L.M. Kaplan ◽  
C.-C.J. Kuo
Keyword(s):  
Extended Self ◽  
Analysis And Synthesis ◽  
Roughness Analysis ◽  
Ess Model ◽  
Self Similar

Extended Self-Similar Pulse Evolution in a Laser with Dispersion-Decreasing Fiber

CLEO: 2013 ◽  
2013 ◽  
Author(s):  
Hui Liu ◽  
Fei Yu ◽  
Andy Chong ◽  
J. C. Knight ◽  
Frank Wise
Keyword(s):  
Extended Self ◽  
Self Similar

Implementation of Whitehouse's method for calculating properties of self-affine fractal profiles

2008 ◽  
Vol 222 (8) ◽  
pp. 1547-1550 ◽  
Author(s):  
T R Thomas ◽  
B-G Rosén
Keyword(s):  
Fractal Dimension ◽  
Single Point ◽  
Sampling Interval ◽  
Machining Processes ◽  
Dimensionless Numbers ◽  
Software Packages ◽  
Roughness Analysis ◽  
Surface Profiles ◽  
Self Similar ◽  
The Mean

Many software packages for roughness analysis offer the possibility of calculating the fractal dimension D of surface profiles by techniques, which assume them to be self-similar and therefore uniquely defined by D. However, fractal profiles are not self-similar but self-affine, so that two profiles of quite different roughnesses may share the same fractal dimension. To distinguish between them requires the calculation of an additional scaling factor, the so-called topothesy Λ. Traditionally, D and Λ are derived laboriously from the slope and intercept of the profile's structure function. A quicker and more convenient derivation from standard roughness parameters has been suggested by Whitehouse. Based on this derivation, it is here shown that D and Λ depend on two dimensionless numbers: the ratio of the mean peak spacing to the rms roughness and the ratio of the mean local peak spacing to the sampling interval. Using this approach, values of D and Λ are calculated from the measurements on surface profiles produced by polishing, plateau honing, and various single-point machining processes. Different processes are shown to occupy different regions in D–Λ space, and polished surfaces show a relationship between D and Λ, which is independent of the surface material.

ON THE EMERGENCE OF INTELLIGENT GLOBAL BEHAVIORS FROM SIMPLE LOCAL ACTIONS

1999 ◽  
Vol 08 (03) ◽  
pp. 291-312
Author(s):  
D. PAUL BENJAMIN
Keyword(s):  
Artificial Intelligence ◽  
Algebraic Structure ◽  
Local Structure ◽  
Design System ◽  
Complex Environments ◽  
Complex Environment ◽  
Neighborhood Structure ◽  
Analysis And Synthesis ◽  
Self Similar ◽  
Simple Systems

Artificial Intelligence focuses on the question of how to design system to exhibit intelligent behaviour in complex environments. Complex global behaviours can emerge from simple systems acting in a complex environment; however, this emergence requires that the systems' internal structure reflect essential structures in the environment. This paper examines the algebraic structure of a system's actions. We find that these actions often possess a self-similar local neighborhood structure that permits analysis and synthesis to be performed locally yet produce global, intelligent behaviours. A procedure for finding this local structure is presented, and illustrated with examples.

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