• Acta Optica Sinica
  • Vol. 38, Issue 12, 1215007 (2018)
Min Yang* and Feipeng Da*
Author Affiliations
  • Key Laboratory of Measurement and Control for Complex System of Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China
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    DOI: 10.3788/AOS201838.1215007 Cite this Article Set citation alerts
    Min Yang, Feipeng Da. Circular Control Points Detection Based on Circumscribed Rectangle of an Ellipse[J]. Acta Optica Sinica, 2018, 38(12): 1215007 Copy Citation Text show less
    (a) Elliptical circumscribed rectangle in different coordinate systems; (b) error of circumscribed rectangle caused by elliptical defect
    Fig. 1. (a) Elliptical circumscribed rectangle in different coordinate systems; (b) error of circumscribed rectangle caused by elliptical defect
    Simulated images. (a) Complete ellipses; (b) fragmental ellipses
    Fig. 2. Simulated images. (a) Complete ellipses; (b) fragmental ellipses
    (a) Original image; (b) edges extracted by Canny algorithm; (c) ellipse detection results of proposed algorithm; (d) ellipse detection results after validation
    Fig. 3. (a) Original image; (b) edges extracted by Canny algorithm; (c) ellipse detection results of proposed algorithm; (d) ellipse detection results after validation
    Detection results of other algorithms for sculpture image with circular control points. (a) Method in Ref. [21]; (b) method in Ref. [22]; (c) method in Ref. [12]
    Fig. 4. Detection results of other algorithms for sculpture image with circular control points. (a) Method in Ref. [21]; (b) method in Ref. [22]; (c) method in Ref. [12]
    Classification rendering of mean shift clustering algorithm. (a) Clustering results; (b) extraction of target class
    Fig. 5. Classification rendering of mean shift clustering algorithm. (a) Clustering results; (b) extraction of target class
    AlgorithmFig. 2(a)Fig. 2(b)
    xerror /pixelyerror /pixelTotal errors /pixelRunning time /sxerror /pixelyerror /pixelTotal errors /pixelRunning time /s
    Algorithm1[11]0.1000.2440.34414.830.3330.2390.5723.62
    Algorithm2[19]0.6280.6391.26770.130.6280.6391.26768.55
    Algorithm 3[16-17]0.0290.0250.0541.580.6050.6611.2660.97
    Algorithm 4[20]0.1060.0900.1960.881.7190.6362.3550.43
    Proposed method0.0310.0210.0520.510.2800.1140.3940.36
    Table 1. Results comparison of different algorithms
    ItemMethod in Ref. [21]Method in Ref. [22]Method in Ref. [12]Proposed method
    Running time /s0.582.250.820.69
    False positive111302
    False negative183143
    Table 2. Comparison between proposed ellipses detection algorithm and other elliptical detection results
    Min Yang, Feipeng Da. Circular Control Points Detection Based on Circumscribed Rectangle of an Ellipse[J]. Acta Optica Sinica, 2018, 38(12): 1215007
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