Imaging Components, Systems, and Processing

Iteration-based direct ellipse-specific algebraic fitting method of incomplete spots for onsite three-dimensional measurement

[+] Author Affiliations
Zhenxing Wang

Shanghai Jiao Tong University, State Key Laboratory of Mechanical System and Vibration, 800 Dongchuan Road, Shanghai 200240, China

Zhuoqi Wu

Shanghai Jiao Tong University, State Key Laboratory of Mechanical System and Vibration, 800 Dongchuan Road, Shanghai 200240, China

Xijin Zhen

Shanghai Shipbuilding Technology Research Institute, 851 Zhong Shan Nan Er Road, Shanghai 200030, China

Rundang Yang

Shanghai Shipbuilding Technology Research Institute, 851 Zhong Shan Nan Er Road, Shanghai 200030, China

Juntong Xi

Shanghai Jiao Tong University, State Key Laboratory of Mechanical System and Vibration, 800 Dongchuan Road, Shanghai 200240, China

Opt. Eng. 54(1), 013109 (Jan 28, 2015). doi:10.1117/1.OE.54.1.013109
History: Received September 26, 2014; Accepted January 6, 2015
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Abstract.  The direct ellipse-specific algebraic fitting (DESAF) method proposed by Fitzgibbon is a classical method to fit an ellipse from discrete points. Generally, for a complete spot, an ellipse, which coincides well with the complete contour of the spot, can be fitted by DESAF. However, for an incomplete spot damaged by some noises such as nonuniform optical surfaces, depth steps, and occlusion, DESAF would fit an incorrect ellipse which could not accurately match the complete contour of the spot. We analyze this problem encountered in the onsite three-dimensional measurement of hull plates and propose a method to remove these outlier points from the contours of incomplete spots. The experiments of computer simulated data and real data demonstrate that the proposed method can dramatically remove the outlier points from the contour and improve the detection accuracy of the center of the incomplete spot.

© 2015 Society of Photo-Optical Instrumentation Engineers

Citation

Zhenxing Wang ; Zhuoqi Wu ; Xijin Zhen ; Rundang Yang and Juntong Xi
"Iteration-based direct ellipse-specific algebraic fitting method of incomplete spots for onsite three-dimensional measurement", Opt. Eng. 54(1), 013109 (Jan 28, 2015). ; http://dx.doi.org/10.1117/1.OE.54.1.013109


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