Error Analysis and Robust Position Measurement for Vertex of a Small Polyhedron

Takashi Harada

doi:10.4028/www.scientific.net/KEM.389-390.83

Paper Titles

Experimental Trial of Fullerene Wheel Fabrication
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Research of Ultrahigh Speed Grinding Spindle System Based on Squeeze Film Damping Technology
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Development of CNT-Coated Diamond Grains Using Self-Assembly Techniques for Improving Electroplated Diamond Tools
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Proposal of Pulverization Method Based on Grinding Process in Order to Recycle FRP Waste
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Error Analysis and Robust Position Measurement for Vertex of a Small Polyhedron
p.83

Grinding Burn and Chatter Classification Using Genetic Programming
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Control of Nano-Topography on an Axisymmetric Ground Surface
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Measurement of High-NA Axisymmetric Aspherical Surface with Continuous Interference Method
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Observation of Grinding Wheel Wear Patterns by Means of a 3-Dimensional Digital Measuring Method
p.108

HomeKey Engineering MaterialsKey Engineering Materials Vols. 389-390Error Analysis and Robust Position Measurement for...

Error Analysis and Robust Position Measurement for Vertex of a Small Polyhedron

Abstract:

A robust measurement method for vertex position of a small polyhedron using 3D image procession is proposed. Shape from focus method is applied for getting 3D positions on surfaces of the polyhedron. Averaging of in-focus function is usually applied for reducing noises, but it lacks sharp edge information of the target. The position of the vertex is indirectory calculated from the 3D data using geometrical model of the polyhedron. In this paper, relations between measurement noise and appropriate number of data for averaging of focal measurement, and area of data for fitting of the Gaussian function were investigated. Then, error propagation analysis is applied to the equations of the indirect measurement of the vertex position. By using the geometrical characteristics of the polyhedron, measurement of the vertex position became robust against the measurement errors. Effectiveness of the proposed method was confirmed by numerical simulation and experimental result for measurement of a vertex of a small polyhedron.

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Periodical:

Key Engineering Materials (Volumes 389-390)

Pages:

83-89

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.389-390.83

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Online since:

September 2008

Authors:

Takashi Harada

Keywords:

Abrasive Grain, Error Analysis, Robust Measurement, Shape from Focus

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References

[1] S. K. Nayer and Y. Nakagawa, Shape from Focus: An effective Approach for Rough Surface, Proc. IEEE Intl. Conf. on Robotics and Automation, (1990), pp.223-287.

Google Scholar

[2] S. K. Nayer, Shape from Focus System, Proc. IEEE Intl. Conf. on Computer Vision and Pattern Recognition, (1992), pp.302-308.

Google Scholar

[3] H. N. Nair and C.V. Stewart, Robust Focus System, Proc. IEEE Intl. Conf. on Computer Vision and Pattern Recognition, (1992), pp.309-314.

Google Scholar

[4] M. Subbarao and G. Surya, Depth from Defocus: A Spatial Domain Approach, Int. J. of Computer Vision, 13, 3, (1994), pp.271-294.

DOI: 10.1007/bf02028349

Google Scholar

[5] T. Harada, K. Kotani and T. Miyoshi, In-Process Error Compensation for Tooth Form Grinding Works, JSME International Journal Japan Society of Mechanical Engineers, Series C, Vol. 44, No. 2 (2001), pp.360-366.

DOI: 10.1299/jsmec.44.360

Google Scholar

[6] R.P. Paul, Robot Manipulators, MIT Press, (1981), pp.9-19.

Google Scholar