Profile error evaluation of free-form surface using sequential quadratic programming algorithm

Lang, Ailei; Song, Zhanjie; He, Gaiyun; Sang, Yicun

doi:10.1016/j.precisioneng.2016.09.008

Cited by 28 publications

(12 citation statements)

References 21 publications

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“…The normal vector and curvature are important differential geometric properties that reflect the local geometric features of the surface, and are also the main influencing parameters of the point cloud space region. Before the point cloud space segmentation, the topological relationship of the scattered point cloud data is established, and the basic parameters such as the curvature and the normal vector at a certain point of the local surface are estimated (7)(8). Aiming at the characteristics of scattered, disordered and no obvious topological relationship of curved point surface cloud data, the method of estimating local feature quantity is studied.…”

Section: Point Cloud Space Segmentationmentioning

confidence: 99%

“…Meng Xianglin improved the minimum spanning tree method, and divided the scattered points into flat and non-flat points. Using the idea of propagation to adjust the normal vector, it is judged whether the neighborhood of the data points contains non-flat points to select the corresponding adjustment direction, and the adjustment method is improved (5)(6)(7)(8)(9). The efficiency of the vector direction, but neglecting the problem of independent k-neighborhood, this paper adopts the improved method of law loss propagation adjustment above, and adjusts the independent k-neighbor data to ensure the accuracy and fastness of normal adjustment.…”

Section: Point Cloud Space Segmentationmentioning

confidence: 99%

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Point Cloud Data Processing and Analysis for 3D Measurement of Ship Hull Plate

Deng¹,

Cheng²,

Xin³

2019

JSW

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In this paper, the 3D measurement of the hull plate is used as the background. It analyzes the principle of laser three-dimensional scanning. The independent k-neighbor problem is considered to improve the method of law loss propagation adjustment, at point cloud data segmentation. It improves the K-neighbor point cloud data boundary feature extraction algorithm. A point cloud reduction algorithm based on K-d tree space partitioning and local curvature threshold is proposed, and the algorithm flow is given. Finally, the related algorithms are simulated and tested, and the results also verify the feasibility of the above method , meet the needs of hull plate measurement.

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Section: Point Cloud Space Segmentationmentioning

confidence: 99%

Section: Point Cloud Space Segmentationmentioning

confidence: 99%

Point Cloud Data Processing and Analysis for 3D Measurement of Ship Hull Plate

Deng¹,

Cheng²,

Xin³

2019

JSW

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show abstract

“…The optimization method. At present, optimization techniques are widely used in error evaluation, such as the simplex method [5], differential evolution algorithm [6] [7], and sequential quadratic programming (SQP) [8]. Our team also tried to model the DMMR coaxiality error with the constrained target optimization problem and used several optimization algorithm to solve it [9].…”

Section: Introductionmentioning

confidence: 99%

Rapid evaluation of coaxiality of shaft parts based on double maximum material requirements

et al. 2019

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Simultaneous application of the maximum material requirements on the datum and coaxiality tolerances (referred to as DMMR coaxiality) of shaft parts can ensure assembly and reduce costs. Existing DMMR coaxiality evaluations use either inflexible real functional gauges or slow mathematical methods, which limits the applications of such a good tolerance in industry. This paper investigated a fast mathematical evaluation method for DMMR coaxiality. First, according to ISO requirements, the geometry and utility of the real functional gauge were analyzed. Then, an adaptive virtual gauge (AVG) was established, and the geometric structure and motion of the AVG were analyzed. After that, the mathematical evaluation method of the DMMR coaxiality tolerance was provided with uncertainty analysis. Finally, an exemplary application on a stepped shaft was presented, and the accuracy and speed of the method were reflected and improved by comparison with existing methods.

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“…If an optimization method is used to evaluate an error as a maximum or a minimum, an error objective function should be established. Currently, a plethora of optimization methods are available, such as the Quasi-Newton method for unconstrained problems; repetitive bracketing method and simplex method for constrained problems [9]; particle swarm optimization and differential evolution algorithm for complex gradient and multi-minimum problems [10,11]; and inner point method, Active-Set Method (ASM), and Sequential Quadratic Programming (SQP) for medium-scale constrained problems [12]. However, no error function for the considered feature and its datum feature has been created.It can be seen that establishing the error objective functions for Coaxiality-DM error is key to evaluating Coaxiality-DM tolerance, and some related work has been done in this area:  A 3D model for axis-symmetric features of Coaxiality-DM tolerance was established based on two assumptions: dimensional, orientation, and location errors were very small; and form error was much smaller [13].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

Coaxiality evaluation based on double material condition

et al. 2019

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To ensure the assemblability of a workpiece, Coaxiality-DM can be applied to two coaxiality cylinders. According to this specification, the relative orientation and location between an actual datum feature and the derived datum axis are variable. Thus, the Coaxiality-DM tolerance is mainly verified by real gauges, which is costly for small batch production. To develop a proper tool for that production, a evaluation model for Coaxiality-DM tolerance was investigated in this paper. According to the International Organization for Standardization (ISO), the geometry of the real gauge was analyzed, and a virtual gauge model was established. Based on the model, an evaluation method was proposed. Furthermore, an example of a stepped shaft was provided to illustrate the applicability of the proposed method. Finally, a comparative experiment was carried out, and the results revealed that the proposed model could produce more accurate results than the existing mathematical methods.However, MRDR causes a big difference between the evaluation of Coaxiality-DM tolerance and other datum-fixed tolerances. In this case, five major mathematical evaluation approaches are applicable: direct calculation, least squares method (LSM), convex-hull method, geometrical search method, and optimization method. 1. When MRDR of the actual considered feature is allowed, any location error of the considered feature (such as Coaxiality-DM error) varies and cannot be calculated directly. 2. LSM creates an error function for the considered feature before the least squares of measurements are calculated [3,4].However, when MRDR is allowed, a function for location error cannot be created directly. Thus, LSM cannot be applied to Coaxiality-DM directly. In addition, an LSM error is not exact according to the International Organization for Standardization (ISO). 3. The convex-hull method establishes the convex-hull of the considered feature before assessing the minimum error by enumeration, thus reducing the data size significantly [5]. However, as Coaxiality-DM error cannot be directly evaluated, the convex-hull method can only be employed to reduce the data size during the evaluation of Coaxiality-DM error. 4. A geometric search method is generally proposed for the error evaluation of one or a few types of features, and it gets the search direction by developed geometric rules. Hence, the geometric search method performs well for certain types of features, whereas the performance is unsatisfactory for others. Currently, it is mainly applied to single simple features, such as the straightness of straight lines [6], sphericity of balls [7], and flatness of planes [6,8]. However, it is difficult to develop a geometric search method for Coaxiality-DM, which is more complex. 5. If an optimization method is used to evaluate an error as a maximum or a minimum, an error objective function should be established. Currently, a plethora of optimization methods are available, such as the Quasi-Newton method for unconstrained problems; repetitive bracketing method...

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Profile error evaluation of free-form surface using sequential quadratic programming algorithm

Cited by 28 publications

References 21 publications

Point Cloud Data Processing and Analysis for 3D Measurement of Ship Hull Plate

Point Cloud Data Processing and Analysis for 3D Measurement of Ship Hull Plate

Rapid evaluation of coaxiality of shaft parts based on double maximum material requirements

Coaxiality evaluation based on double material condition

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