Support Vector Regression for Determination of Minimum Zone
- 1 November 2003
- journal article
- Published by ASME International in Journal of Manufacturing Science and Engineering
- Vol. 125 (4), 736-739
- https://doi.org/10.1115/1.1596572
Abstract
Probe-type Coordinate Measuring Machines (CMMs) rely on the measurement of several discrete points to capture the geometry of part features. The sampled points are then fit to verify a specified geometry. The most widely used fitting method, the least squares fit (LSQ), occasionally overestimates the tolerance zone. This could lead to the economical disadvantage of rejecting some good parts and the statistical disadvantage of normal (Gaussian) distribution assumption. Support vector machines (SVMs) represent a relatively new revolutionary approach for determining the approximating function in regression problems. Its upside is that the normal distribution assumption is not required. In this research, support vector regression (SVR), a new data fitting procedure, is introduced as an accurate method for finding the minimum zone straightness and flatness tolerances. Numerical tests are conducted with previously published data and the results are found to be comparable to the published results, illustrating its potential for application in precision data analysis such as used in minimum zone estimation.Keywords
This publication has 12 references indexed in Scilit:
- From support vector machine learning to the determination of the minimum enclosing zoneComputers & Industrial Engineering, 2002
- Evaluation of straightness and flatness error using computational geometric techniquesComputer-Aided Design, 1999
- Support Vector Regression with Automatic Accuracy ControlPerspectives in Neural Computing, 1998
- Verification of form tolerances part I: Basic issues, flatness, and straightnessPrecision Engineering, 1995
- The Nature of Statistical Learning TheoryPublished by Springer Science and Business Media LLC ,1995
- Application of several computing techniques for minimum zone straightnessPrecision Engineering, 1993
- Evaluation of minimum zone flatness by means of nonlinear optimization techniques and its verificationPrecision Engineering, 1993
- Establishing reference figures for form evaluation of engineering surfacesJournal of Manufacturing Systems, 1991
- New approach for evaluating form errors of engineering surfacesComputer-Aided Design, 1987
- Comparison of linear and normal deviations of forms of engineering surfacesPrecision Engineering, 1987