• Chinese Optics Letters
  • Vol. 13, Issue 12, 121501 (2015)
Fuqiang Zhou*, Xinghua Chai, Tao Ye, and Xin Chen
Author Affiliations
  • Key Laboratory of Precision Opto-mechatronics Technology, Ministry of Education, Beihang University, Beijing 100191, China
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    DOI: 10.3788/COL201513.121501 Cite this Article Set citation alerts
    Fuqiang Zhou, Xinghua Chai, Tao Ye, Xin Chen. Two-dimensional vision measurement approach based on local sub-plane mapping[J]. Chinese Optics Letters, 2015, 13(12): 121501 Copy Citation Text show less

    Abstract

    The existing two-dimensional vision measurement methods ignore lens distortion, require the plane to be perpendicular to the optical axis, and demand a complex operation. To address these issues, a new approach based on local sub-plane mapping is presented. The plane calibration is performed by dividing the calibration plane into sub-planes, and there exists an approximate affine invariance between each small sub-plane and the corresponding image plane. Thus, the coordinate transformation can be performed precisely, without lens distortion correction. The real comparative experiments show that the proposed approach is robust and yields a higher accuracy than the traditional methods.
    wcosθ/q=h/p=l/f,(1)

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    {SΔAPC/SABCD=(SΔAPC/SABCD)/cosθSΔAPB/SABCD=SΔAPB/SABCD,(2)

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    {dx=(2dSΔAPC/SABCD)/cosθdy=2dSΔAPB/SABCD.(3)

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    P((m+dx)d/cosθ,(n+dy)d).(4)

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    {xd(m+2×|detAAPC||detAABC|+|detADBC|)/cosθyd(n+2×|detAAPB||detAABC|+|detADBC|),(5)

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    {xA=xARA+[2p1xAyA+p2(rA2+2xA2)]yA=yARA+[2p2xAyA+p1(rA2+2yA2)],(6)

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    {Δx=xx=(2SΔAPCSABCDxxAxBxA)dΔy=yy=(2SΔAPBSABCDyyAyCyA)d.(7)

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    d/f=h/l,(8)

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    Δh=hh=(l×Δd)/f,(9)

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    δ=Δh/h=Δd/(dΔd).(10)

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    Fuqiang Zhou, Xinghua Chai, Tao Ye, Xin Chen. Two-dimensional vision measurement approach based on local sub-plane mapping[J]. Chinese Optics Letters, 2015, 13(12): 121501
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