2008
DOI: 10.1007/s11465-008-0068-4
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Optimal localization of complex surfaces in CAD-based inspection

Abstract: Complex surface inspection requires the optimal localization of the measured surface related to the design surface so that the two surfaces can be compared in a common coordinate frame. This paper presents a new technique for solving the localization problem. The basic approach consists of two steps: 1) rough localization of the measured points to the design surface based on curvature features, which can produce a good initial estimate for the optimal localization; 2) fine localization based on the least-squar… Show more

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Cited by 8 publications
(4 citation statements)
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References 19 publications
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“…The iterative process becomes divergent if the correction coefficient is chosen incorrectly. Subsequently, Xu et al [7] proposed a new localization method that is divided into two steps. In this method, the rough This paper proposes a flexible localization method that ensures the non-uniform profile tolerance and uniform material allowance on the section profiles of blade.…”
Section: Literature Reviewmentioning
confidence: 99%
See 1 more Smart Citation
“…The iterative process becomes divergent if the correction coefficient is chosen incorrectly. Subsequently, Xu et al [7] proposed a new localization method that is divided into two steps. In this method, the rough This paper proposes a flexible localization method that ensures the non-uniform profile tolerance and uniform material allowance on the section profiles of blade.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The iterative process becomes divergent if the correction coefficient is chosen incorrectly. Subsequently, Xu et al [7] proposed a new localization method that is divided into two steps. In this method, the rough alignment is finished according to the Gauss curvature and the mean curvature of the model.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Yan et al [11] developed an algorithm of rough and fine localization for surface machining and inspection. Sun and Xu [12,13] compared the Gaussian and mean curvatures of the design and the measured surfaces to align the design surface with the measured points in rough localization, and then used an iterative method of calculating the distances between the measured points and the design part in fine localization. Mehrad et al [14] roughly localized the design surface by minimizing the distance between the measured and the design surfaces, which reduced uncertainties of fine localization.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The third method is based on the mechanics-mathematical models such as the inverse kinematics (IK) algorithm. But IK can not explain the joint torque contribution from the point of view of single muscle, and the muscle force must be solved through some optimization methods [5][6][7]. The last muscle force and joint torque calculation method is based on the relations between muscle mechanical properties and bio-signals.…”
Section: Introductionmentioning
confidence: 99%