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• W2022175340 abstract "Abstract A geometrical method to assess the quality of a part is to sample points on the surface of the part and to bring an ideal computer representation of the part as close as possible to the sampled locations. The points are sampled with a coordinate measuring machine (CMM) that gives the coordinates, with respect to the machine's own three-dimensional system of axis, of the sampled locations. Computer-assisted design (CAD) gives the ideal representation of the part. The matching involves estimating a rotation and a translation vector characterizing the rigid body transformation needed to go from the computer model to the sampled locations. The sum of the squared residual distances between the sampled locations and the fitted computer part is a measure of the quality of the part. This article investigates the statistical properties of this method when the surface of the part is made of planar regions. Estimating the translation vector and the rotation matrix is shown to be “locally” equivalent to fitt..." @default.
• W2022175340 created "2016-06-24" @default.
• W2022175340 creator A5030478326 @default.
• W2022175340 date "1998-06-01" @default.
• W2022175340 modified "2023-09-26" @default.
• W2022175340 title "Some Linear Models for Estimating the Motion of Rigid Bodies with Applications to Geometric Quality Assurance" @default.
• W2022175340 cites W1966457314 @default.
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• W2022175340 doi "https://doi.org/10.1080/01621459.1998.10473716" @default.
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