Notice: Undefined index: linkPowrot in C:\wwwroot\wwwroot\publikacje\publikacje.php on line 1275
Strona główna > Publikacje
Publikacje
Pomoc (F2)
[26664] Artykuł:

A generalized L2-spline filter

Czasopismo: Measurement   Tom: 42, Zeszyt: 6, Strony: 937-943
ISSN:  0263-2241
Opublikowano: 2009
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Procent
udziału		 Liczba
punktów
Dariusz Janecki orcid logoWMiBMCentrum Laserowych Technologii Metali**10020.00  

Grupa MNiSW:  Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A)
Punkty MNiSW: 20

Pełny tekstPełny tekst     DOI LogoDOI     Web of Science LogoYADDA/CEON    
Keywords:

Spline filter  Mean line  Edge effect  Transmission characteristic 


Abstract:

This paper presents a generalization of the L2-spline filter developed by Krystek [M. Krystek, Form filtering by splines, Measurement 18 (1996) 9-15]. Here, we assume that the distance between the spline nodes is much bigger than the profile sampling interval. Owing to this, the conditioning factor of the equations applied to determine the filter parameters does not depend on the sampling interval, and the number of such equations is relatively small. If the functional defining the spline parameters does not include the penalty for curve bending energy, the interval between the spline nodes should be exactly twice as small as the desired cutoff wavelength. If the cost of the bending energy is taken into account, we obtain a filter that is practically time-invariant for a case when the distance between the nodes is equal to one sixth of the cutoff wavelength. In this case, the filter frequency transmission characteristic is almost the same as the one proposed by Krystek. The analyzed spline filter is able to reduce the edge effect significantly.


B   I   B   L   I   O   G   R   A   F   I   A
1. EN ISO 11562:1998, Geometrical Product Specifications (GPS) - Surface Texture: Profile Method - Metrological Characteristics of Phase Correct Filters, 1998.
2. Krystek, M., "Form filtering by splines", Measurement, vol. 18, 1, 1996, p.9-15
3. Krystek, M., "Discrete L-spline filtering in roughness measurements", Measurement, vol. 18, 2, 1996, p.129-138
4. ISO TS 16610-22, Geometrical Product Specifications (GPS) - Filtration - Part 22: Linear Profile Filters, Spline Filters.
5. Brinkmam, S.& Bodschwinna, H.& Lemke, H.W., "Accessing roughness in three-dimensions using Gaussian regression filtering", International Journal of Tools Manufacture, vol. 41, 2001, p.2153-2161
6. D. Janecki, S. Adamczak, Recursive Gaussian Filters. in: XVII IMEKO World Congress, Dubrovnik, Croatia, 2003.
7. D. Janecki, S. Adamczak, Edge effect elimination in the FIR implementation of Gaussian filters, in: Proceedings of the 8th International Symposium on Measurement and Quality Control in Production, Erlangen, vol. 1860, VDF - Berichte, 2004, pp. 113-121.
8. EN ISO 3274:1997, Geometric Product Specifications (GPS) - Surface Texture: Profile Method - Nominal Characteristics of Contact (stylus) Instruments, 1997.

POWRÓT
Strona główna > Publikacje