Development of a lifting wavelet representation for surface characterization

被引:65
作者
Jiang, XQ [1 ]
Blunt, L [1 ]
Stout, KJ [1 ]
机构
[1] Univ Huddersfield, Sch Engn, Ctr Precis Technol, Huddersfield HD1 3DH, W Yorkshire, England
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2000年 / 456卷 / 2001期
关键词
lifting wavelet; roughness; waviness; form error; multi-scalar topographical features; surface characterization;
D O I
10.1098/rspa.2000.0613
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper reviews the existing numerical analysis methods and their problems in surface metrology. Based on the requirements of functional analysis of surfaces, this paper proposes a lifting wavelet representation for extraction of different components of a surface. The theory of the lifting wavelet is introduced and a fast algorithm is developed. Different frequency components of the surface can be separated, extracted and then reconstructed according the intended requirements of functional analysis. The surface textures can be highlighted and multi-scalar topographical features can be identified and clearly recovered. In order to verify the behaviour of the new model, a computer simulation based on sinusoidal and triangular waveforms is used. Case studies are conducted using a series of typical surfaces of engineering and bioengineering, such as planes, cylinders and curves, measured by contact (stylus) and non-contact (phase-shifting interferometry) instruments, to demonstrate the feasibility and applicability of using the lifting wavelet model in the analysis of these surfaces.
引用
收藏
页码:2283 / 2313
页数:31
相关论文
共 52 条
[41]  
SULLIVAN PJ, 1989, SURF TOPOGRAPHY, V2, P143
[42]  
Sweldens W, 1995, LIFTING SCHEME CUSTO
[43]  
Sweldens W., 1994, PhD thesis
[44]  
SWELDENS WIM, 1996, LIFTING SCHEME CONST
[45]  
THOMAS TR, 1982, ROUGHT SURFACE
[46]   Recent developments in the tribology of artificial joints [J].
Unsworth, A .
TRIBOLOGY INTERNATIONAL, 1995, 28 (07) :485-495
[47]  
WALLACH J, 1969, P ASME S SURF MECH
[48]  
WESKA JS, 1976, IEEE T SYST MAN CYB, V6, P269
[49]  
Whitehouse D. J., 1994, SURFACE METROLOGY
[50]   THE USE OF DUAL-SPACE FREQUENCY FUNCTIONS IN MACHINE-TOOL MONITORING [J].
WHITEHOUSE, DJ ;
ZHENG, KG .
MEASUREMENT SCIENCE AND TECHNOLOGY, 1992, 3 (09) :796-808