Abstract

Image-processing thresholding algorithms are extended segmentation tools that are suitable for tracking applications. The centroid of the tracked image distribution is a good point of reference for the location of the image. We describe a new thresholding technique that is based on the estimation of the optimum threshold for achieving minimal variance in the centroid of the processed image. Experimental proofs for evaluating the technique’s performance are given. The direct extension of these results to Shack–Hartmann wave-front sensors is also shown.

© 2002 Optical Society of America

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References

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  1. R. C. González and R. E. Woods, Digital Image Processing (Addison-Wesley, Reading, Mass., 1992), pp. 443–455.
  2. P. M. Salomon and T. A. Glavich, Proc. SPIE 252, 64 (1980).
    [Crossref]
  3. R. M. Haralick and L. G. Shapiro, Computer and Robot Vision (Addison-Wesley, Reading, Mass., 1992), Vol. 1, pp. 14–28.
  4. J. Ares, T. Mancebo, and S. Bará, Appl. Opt. 39, 1511 (2000).
    [Crossref]

2000 (1)

1980 (1)

P. M. Salomon and T. A. Glavich, Proc. SPIE 252, 64 (1980).
[Crossref]

Ares, J.

Bará, S.

Glavich, T. A.

P. M. Salomon and T. A. Glavich, Proc. SPIE 252, 64 (1980).
[Crossref]

González, R. C.

R. C. González and R. E. Woods, Digital Image Processing (Addison-Wesley, Reading, Mass., 1992), pp. 443–455.

Haralick, R. M.

R. M. Haralick and L. G. Shapiro, Computer and Robot Vision (Addison-Wesley, Reading, Mass., 1992), Vol. 1, pp. 14–28.

Mancebo, T.

Salomon, P. M.

P. M. Salomon and T. A. Glavich, Proc. SPIE 252, 64 (1980).
[Crossref]

Shapiro, L. G.

R. M. Haralick and L. G. Shapiro, Computer and Robot Vision (Addison-Wesley, Reading, Mass., 1992), Vol. 1, pp. 14–28.

Woods, R. E.

R. C. González and R. E. Woods, Digital Image Processing (Addison-Wesley, Reading, Mass., 1992), pp. 443–455.

Appl. Opt. (1)

Proc. SPIE (1)

P. M. Salomon and T. A. Glavich, Proc. SPIE 252, 64 (1980).
[Crossref]

Other (2)

R. M. Haralick and L. G. Shapiro, Computer and Robot Vision (Addison-Wesley, Reading, Mass., 1992), Vol. 1, pp. 14–28.

R. C. González and R. E. Woods, Digital Image Processing (Addison-Wesley, Reading, Mass., 1992), pp. 443–455.

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Figures (2)

Fig. 1
Fig. 1

Schematic of the experimental setup, (b) three-dimensional representation of a typical intensity sample.

Fig. 2
Fig. 2

Variance of the centroid obtained by thresholding with four different techniques.

Equations (9)

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Iui=IiIiUi0Ii<Ui,
XC=ixiIiiIi,
Ii=Ii+ηi,
ηiηj=ηi2i=jηiηjij,
Hi=1ηiU-Ii0ηi<U-Ii.
HiHj=Hi2i=jHiHjij.
σXc2=XC2-XC2=xiIi+ηiHiIi+ηiHi2-xiIi+ηiHiIi+ηiHi2.
σX2=xi2Ii2Hi-Hi2+2xi2IiηiHi1-Hi+xi2ηi2Hi2-ηiHi+xiIiHi+xiηiHi2IiHi+ηiHi2+Ii2Hi-Hi2+ηi2Hi2-ηiHi+2IiηiHi1-Hi-xiIiHi+xiηiHi2IiHi+ηiHi2,
σXc2=xi2Ii2Hi-Hi2+2xi2IiηiHi1-Hi+xi2ηi2Hi2-ηiHiIiHi+ηiHi2.

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