Morphological filters for functional assessment of roundness profiles

Lou, Shan; Jiang, Xiangqian; Scott, Paul J.

doi:10.1088/0957-0233/25/6/065005

Cited by 6 publications

(7 citation statements)

References 18 publications

(18 reference statements)

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“…Wavelet analysis has the advantages of multiscale decomposition and high-resolution interpretation, which was widely used in the field of signal processing [ 26 , 30 ]. Based on the theory of wavelet analysis, the surface topography signals were decomposed multiscale.…”

Section: Simulation Methods Of Surface Topographymentioning

confidence: 99%

A Novel Simulation Method of Micro-Topography for Grinding Surface

Suo

Bai

2021

Materials

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A novel simulation method of microtopography for grinding surface was proposed in this paper. Based on the theory of wavelet analysis, multiscale decomposition of the measured topography was conducted. The topography was divided into high frequency band (HFB), theoretical frequency band (TFB), and low frequency band (LFB) by wavelet energy method. The high-frequency and the low-frequency topography were extracted to obtain the digital combination model. Combined with the digital combination model and the theoretical topography obtained by geometric simulation method, the simulation topography of grinding surface can be generated. Moreover, the roughness parameters of the measured topography and the simulation topography under different machining parameters were compared. The maximum relative error of Sa, Sq, Ssk and Sku were 1.79%, 2.24%, 4.69% and 4.73%, respectively, which verifies the feasibility and accuracy of the presented method.

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Section: Simulation Methods Of Surface Topographymentioning

confidence: 99%

A Novel Simulation Method of Micro-Topography for Grinding Surface

Suo

Bai

2021

Materials

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“…In equation (19), w decreases non-linearity as the number of iterations increases, which makes the algorithm have a strong global search ability in the initial stage. After traversing the entire search space quickly, the local search ability is continuously enhanced, and the search is performed within the possible optimal solution neighborhood.…”

Section: Nonlinear Inertia Weight W Dynamic Changementioning

confidence: 99%

“…Therefore, research into and application of the convex hull theory have always been hot topics in the field of metrology and detection. Lou et al [19] applied the convex hull theory to morphological filtering to operate the a precision mechanical parts surface. Lee [20] presented a modified convex-hull edge method which significantly enhanced its computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Precision measurement and evaluation of flatness error for the aero-engine rotor connection surface based on convex hull theory and an improved PSO algorithm

Zhang¹,

Liu²,

Sun³

et al. 2020

Meas. Sci. Technol.

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The precision measurement and evaluation of the geometry form error for high-end precision components is one of the most important tasks for metrologists. In this paper, a novel hybrid flatness error evaluation method is proposed to measure and evaluate the flatness error for large-scale point cloud data. This method is based on the convex hull algorithm and the improved particle swarm optimization (IPSO) algorithm. Not only are a large number of redundant measurement data points effectively removed through the convex hull algorithm, but also this operation does not lose any valuable information for flatness error evaluation. Then an accurate mathematical model for flatness error evaluation is established based on the minimum zone criteria recommended by ISO, and then the IPSO algorithm is adopted to solve this complex non-linear optimization problem. In particular, the non-linear dynamic inertia weights w and learning factors c 1 , c 2 are introduced to improve the calculation accuracy. Finally, the proposed method is verified through an experiment measuring and evaluating the flatness error of an aero-engine rotor connection surface. The effective measurement data points are reduced from 18 000 to 856, or 4.76%, which is significant compared to the original data points. The flatness error evaluation result is 369 µm according to the IPSO method that we propose. Last but not least, we compare our method with the traditional least squares method and unmodified particle swarm optimization algorithm. The calculation results indicate that the evaluation accuracy is increased by 21 µm and 44 µm, respectively.

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“…Jiang et al proposed a novel morphological method based on the alpha shape, which utilized the theoretical link between the alpha hull and the morphological closing and opening operations [23]. Lou et al developed a feasible supporting computational method of using alpha shape theory for roundness evaluation employing morphological filters as a means of characterizing round comp onents [24].…”

Section: Measurement Science and Technologymentioning

confidence: 99%

A high-accuracy roundness measurement for cylindrical components by a morphological filter considering eccentricity, probe offset, tip head radius and tilt error

Sun

Lei

Tan

et al. 2016

Meas. Sci. Technol.

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A morphological filter is proposed to obtain a highaccuracy roundness measurement based on the fourparameter roundness measurement model, which takes into account eccentricity, probe offset, probe tip head radius and tilt error. This paper analyses the sample angle deviations caused by the four systematic errors to design a morphological filter based on the distribution of the sample angle. The effectiveness of the proposed method is verified through simulations and experiments performed with a roundness measuring machine. Compared to the morphological filter with the uniform sample angle, the accuracy of the roundness measurement can be increased by approximately 0.09 μm using the morphological filter with a nonuniform sample angle based on the fourparameter roundness measurement model, when eccentricity is above 16 μm, probe offset is approximately 1000 μm, tilt error is approximately 1″, the probe tip head radius is 1 mm and the cylindrical component radius is approximately 37 mm. The accuracy and reliability of roundness measurements are improved by using the proposed method for cylindrical components with a small radius, especially if the eccentricity and probe offset are large, and the tilt error and probe tip head radius are small. The proposed morphological filter method can be used for precision and ultraprecision roundness measurements, especially for functional assessments of roundness profiles.

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Morphological filters for functional assessment of roundness profiles

Cited by 6 publications

References 18 publications

A Novel Simulation Method of Micro-Topography for Grinding Surface

A Novel Simulation Method of Micro-Topography for Grinding Surface

Precision measurement and evaluation of flatness error for the aero-engine rotor connection surface based on convex hull theory and an improved PSO algorithm

A high-accuracy roundness measurement for cylindrical components by a morphological filter considering eccentricity, probe offset, tip head radius and tilt error

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