With the advent of cheap and powerful computers, three-dimensional evaluation of surfaces is possible. The three-dimensional surface requires a filtering procedure for waviness separation. This paper deals with the waviness plane construction through a least squares non-parametric B-spline surface. Roughness values obtained by two-, two-and-a-half- and three-dimensional evaluations of typical surfaces are also given.
WhitehouseD. J.Parameter rashâis there a cure?Wear, 1982, 83, 75–78.
2.
de ChiffreL.ChristiansenS.SkadeS.Advantage and industrial applications of three-dimensional surface roughness analysis. Ann. CIRP, 1994, 43, 473–478.
3.
StoutK. J.Three-Dimensional Surface Topography; Measurement, Interpretation and ApplicationsâA Survey and Bibliography, 1994 (Penton Press, London and Bristol).
4.
DongW. P.MainsahE.StoutK. J.Reference planes for the assessment of surface roughness in three dimensions. Int. J. Mach. Tools and Mf., 1995, 35(2), 263–271.
5.
ThomasT. R.Rough Surfaces, 1982 (Longman Press, London and New York).
6.
WhitehouseD. J.Handbook of Surface Metrology, 1994 (Institute of Physics Publishing, Bristol and Philadelphia, Pennsylvania).
7.
WhitehouseD. J.VanherckP.Survey of reference line in the assessment of surface texture. Ann. CIRP, 1972, 21, 367–373.
8.
MiyazakiK.On a method for measuring flatness by two- point connecting method. Bull. Jap. Soc. Mech. Engrs, 1965, 8, 274–280.
9.
McAdamsH. T.PiccianoL. A.ReeseP. A.A computer method for hypsometric analysis of abrasive surfaces. In Proceedings of the Ninth International MTDR Conference on Advances in Machine Tool Design and Research, Oxford, 1968, pp. 1149–1171.
10.
RabinerL. R.GoldB.Theory and Applications of Digital Signal Processing, 1993 (Prentice-Hall of India).
11.
HillmannW.KrystekM. ISO/TC 3-10-57/JHG/TG N11, 1995. Comments on ISO/TC3-10-57/JHG/TG1 N7, 1995.
12.
YauH.-T.ChenJ.-S.Surface approximation and generation of complex geometric model from laser scan data. Proc. Am. Soc. Precision Engng, 1995, 14, 273–277.
13.
BartelsR. H.BeattyJ. C.BarskyB. A.An Introduction to Splines for Use in Computer Graphics and Geometric Modelling, 1987 (Morgan Kaufmann, San Mateo, California).
14.
RogersD. F.AdamsA. J.Mathematical Elements for Computer Graphics, 2nd edition, 1989 (McGraw-Hill Publishing Company, New York).
15.
YamaguchiF.Curves and Surfaces in Computer Aided Geometric Design, 1988 (Springer-Verlag, Berlin).
16.
StoutK. J.SullivanP. J.The use of 3-D topographical analysis to determine the microgeometric transfer characteristics of textured sheet surfaces through rolling. Ann. CIRP, 1992, 41, 621–624.