1994
DOI: 10.1080/00207549408957086
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Automatic digitization of free-form curve by coordinate measuring machines

Abstract: The digitization of mathematically unknown free-form curves is frequently required. Current industrial practice relies on the experience of an operator to determine the direction of a CMM probe's approaching vector and the number of samples to represent a complex curve. An automatic procedure is proposed to generate recursively the approaching vector direction as well as the sampling rate. Several techniques including a linear prediction, a polynomial prediction, and a spline interpolation method have been pre… Show more

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Cited by 5 publications
(4 citation statements)
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“…In both cases, the inspection of freeform surfaces may be executed with the help of computer aided design (CAD)-based software, where the CAD model may be used as the nominal element [2]. The evaluation relies on the registration of the actual surface with respect to the nominal one and is principally based on local deviation analysis at each nominal point [3,4]. However, the evaluation may be based on the surface reconstruction [5][6][7][8][9] by means of fitting and filtering techniques [10].…”
Section: Introductionmentioning
confidence: 99%
“…In both cases, the inspection of freeform surfaces may be executed with the help of computer aided design (CAD)-based software, where the CAD model may be used as the nominal element [2]. The evaluation relies on the registration of the actual surface with respect to the nominal one and is principally based on local deviation analysis at each nominal point [3,4]. However, the evaluation may be based on the surface reconstruction [5][6][7][8][9] by means of fitting and filtering techniques [10].…”
Section: Introductionmentioning
confidence: 99%
“…In order to better understand the topics aspects of this work, it is opportune to split the entire methodology in three main steps: point digitisation, segmentation and surface modelling. Focusing the attention on "point digitisation" and "surface modelling", it is necessary to highlight some relevant problems associated to the sampling strategy [2].…”
Section: Introductionmentioning
confidence: 99%
“…A deviation-based distribution which only locates data points at the extremities of the pro®le generally involves a decrease in the sampling size (number of points). A similar technique is used by Chen et al [10] in a predictive scanning routine to inspect a sculptured surface where data points are dynamically thickened in the curvature of the pro®le. However, accurate measurements of roundness cannot be obtained dynamically because the sampling includes an insu cient data set.…”
Section: Introductionmentioning
confidence: 99%