Minimum zone evaluation of the form errors of quadric surfaces

Zhang, Xiangchao; Jiang, Xiangqian; Scott, Paul J.

doi:10.1016/j.precisioneng.2010.12.005

Cited by 16 publications

(3 citation statements)

References 41 publications

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“…The Broyden-Fletcher-Goldfarb-Shanno Algorithm (BFGS) [49,126,136,144] is one of the most famous quasi-Newton algorithms for unconstrained optimization. Moving away from deterministic algorithms, intelligence-oriented algorithms (Genetic algorithms, Swarm algorithms) [97,173,179,180] with their simplicity are another way to search the solution of extreme problems with many local minima. An optimization toolbox has been implemented in Matlab software for solving complex optimization problems.…”

Section: Least Squares Methods (Lsm)mentioning

confidence: 99%

Modelling and traceability for computationally-intensive precision engineering and metrology

et al. 2018

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In contrast to measurements of the dimensions of machined parts realized by machine tools and characterized by CMMs, software results are not fully traceable and certified. Indeed, a computer is not a perfect machine and binary encoding of real numbers leads to rounding of successive intermediate calculations that may lead to globally false results. This is the case for poor implementations and poorly conditioned algorithms. Therefore, accurate geometric modelling and implementations will be detailed. Based on the works of National Metrology Institutes, the problem of software traceability will also be discussed. Some prospects for this complex task will finally be suggested.

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Section: Least Squares Methods (Lsm)mentioning

confidence: 99%

Modelling and traceability for computationally-intensive precision engineering and metrology

et al. 2018

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“…Hence, an optimised sample design usually has a fixed pattern, such as uniform grids, or Halton or Hamersley patterns. These blind sampling methods generate limited measuring efficiency improvements [13,23,24]. Pre-learned sampling optimisation is a relatively new and smart approach which allocates sample points according to a surface complexity analysis of a design model [25][26][27] or pre-acquired coarse surface data [12-14, 28, 29].…”

Section: Brief Review Of Sampling Techniquesmentioning

confidence: 99%

Uncertainty-guided intelligent sampling strategy for high-efficiency surface measurement via free-knot B-spline regression modelling

Pagani

Zhou

et al. 2019

Precision Engineering

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Intelligent sampling can be used to influence the efficiency of surface geometry measurement. With no design model information provided, reconstruction from prior sample points with a surrogate model has to be carried out iteratively, thus the next best sample point(s) can be intelligently selected. But, a lack of accurate and fast reconstruction models hinders the development of intelligent sampling techniques. In this paper, a smart surrogate model based on free-knot B-splines is used for intelligent surface sampling design with the aid of uncertainty modelling. By implementing intelligent sampling in a Cartesian, parametric or specific error space, the proposed method can be flexibly applied to reverse engineering and geometrical tolerance inspection, especially for highdynamic-range structured surfaces with sparse and sharply edged features. Extensive numerical experiments on simulated and real surface data are presented. The results show that this parametric model-based method can achieve the same or higher sampling efficiency as some recent non-parametric methods but with far less computing time cost.

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“…One of the main reasons is the touch trigger probe, which is accepted as a touch sensor in most CMMs, results in a low measuring efficiency and requires an offsetting operation for obtaining the surface profile from the measurement data. The offsetting operation is sometimes very difficult for a measured profile in unknown forms [1][2][3][4][5][6][7][8][9]. Automated laser scanning measurement is an expected technique as it is efficient for inspecting complex profiles.…”

Section: Introductionmentioning

confidence: 99%

An Improved Measuring Device for Autonomous Form Measurement of Free Form Surfaces on Machining Centers

Qiu¹,

Yue²,

Lin³

et al. 2012

JMEA

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The paper presents research on the improvements over an autonomous non-contact device with a vertical spindle for free form measurement which the authors developed previously. The fundamental ideas in the previous work include combining two displacement sensors with a servo motor, keeping the position of the sensor to directly measure the surface at the central value of the sensor's measuring range by controlling the motor rotation and performing scanning motions with NC functions of a MC. The inspection is entirely independent of the NC apparatus of the MC. Taking into account both the measurement accuracy and efficiency, three major improvements have been made retaining the advantages of the device. These improvements include 1) introducing a new sensing method for reference position along a scanning line to separate the reference position detection from the contour profile measurement, 2) accepting an AC servo motor controlled by a speed rule to raise the capability of autonomous movement following the contour profile to be measured, and 3) adopting a new laser displacement detector to widen the applicable range for both the shape and material of the surface to be measured. To assess the performance of the improved device, verification experiments are carried out on a machining center with several samples made of different materials. The experiment results demonstrate the effectiveness of the improvements made on the device.

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Minimum zone evaluation of the form errors of quadric surfaces

Cited by 16 publications

References 41 publications

Modelling and traceability for computationally-intensive precision engineering and metrology

Modelling and traceability for computationally-intensive precision engineering and metrology

Uncertainty-guided intelligent sampling strategy for high-efficiency surface measurement via free-knot B-spline regression modelling

An Improved Measuring Device for Autonomous Form Measurement of Free Form Surfaces on Machining Centers

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