Abstract

A robust approach based on the 2D monogenic wavelet transform (MWT), which pairs the polyharmonic B-spline wavelet basis with its complex Riesz counterparts to specify a multiresolution monogenic signal analysis, is proposed to solve the general stereo image matching problem. The disparity is directly estimated by establishing correspondences between the monogenic signal components according to the suitable local properties, i.e., the monogenic wavelet annihilates antimonogenic signals, the MWT is phase-shift covariant and the transform magnitude is phase-shift invariant. This approach is different from the current matching techniques and is promising for image registration, flow estimation, and 3D reconstruction.

© 2009 Optical Society of America

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  1. D. Scharstein and R. Szeliski, Int. J. Comput. Vis. 47, 7 (2002).
    [CrossRef]
  2. W. L. Chan, M.S. thesis (Rice University, 2006).
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  4. A. Bhatti and S. Nahavandi, in 2006 International Conference on Computer Graphics, Imaging, and Visualization, CGIV '06 (IEEE, 2006), p. 267.
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    [CrossRef]
  6. M. Felsberg and G. Sommer, J. Math. Imaging Vision 2695, 5 (2004).
    [CrossRef]
  7. K. G. Larkin, D. J. Bone, and M. A. Oldfield, J. Opt. Soc. Am. A 18, 1862 (2001).
    [CrossRef]
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  9. S. C. Olhede and G. Metikas, IEEE Trans. Signal Process. 57, 3426 (2009).
    [CrossRef]
  10. S. Held and M. Storath, Proc. SPIE 7446, 74460Z-1 (2009).
  11. M. Unser, D. Sage, and D. Ville, IEEE Trans. Image Process. 18, 2402 (2009).
  12. H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
    [CrossRef]

2009

S. C. Olhede and G. Metikas, IEEE Trans. Signal Process. 57, 3426 (2009).
[CrossRef]

S. Held and M. Storath, Proc. SPIE 7446, 74460Z-1 (2009).

M. Unser, D. Sage, and D. Ville, IEEE Trans. Image Process. 18, 2402 (2009).

2008

H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
[CrossRef]

2004

M. Felsberg and G. Sommer, J. Math. Imaging Vision 2695, 5 (2004).
[CrossRef]

2002

D. Scharstein and R. Szeliski, Int. J. Comput. Vis. 47, 7 (2002).
[CrossRef]

2001

M. Felsberg and G. Sommer, IEEE Trans. Signal Process. 49, 3136 (2001).
[CrossRef]

K. G. Larkin, D. J. Bone, and M. A. Oldfield, J. Opt. Soc. Am. A 18, 1862 (2001).
[CrossRef]

Bay, H.

H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
[CrossRef]

Bhatti, A.

A. Bhatti and S. Nahavandi, in 2006 International Conference on Computer Graphics, Imaging, and Visualization, CGIV '06 (IEEE, 2006), p. 267.

Blu, T.

D. Ville, T. Blu, B. Forster, and M. Unser, in 2004 International Conference on Image Processing, ICIP '04 (IEEE, 2004), p. 661.

Bone, D. J.

Chan, W. L.

W. L. Chan, M.S. thesis (Rice University, 2006).

Chunhui, Z.

W. Jian, R. Longtao, and Z. Chunhui, in Congress on Image and Signal Processing, CISP '08 (IEEE, 2008), Vol. 1, p. 627.

Ess, A.

H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
[CrossRef]

Felsberg, M.

M. Felsberg and G. Sommer, J. Math. Imaging Vision 2695, 5 (2004).
[CrossRef]

M. Felsberg and G. Sommer, IEEE Trans. Signal Process. 49, 3136 (2001).
[CrossRef]

Forster, B.

D. Ville, T. Blu, B. Forster, and M. Unser, in 2004 International Conference on Image Processing, ICIP '04 (IEEE, 2004), p. 661.

Gool, L. V.

H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
[CrossRef]

Held, S.

S. Held and M. Storath, Proc. SPIE 7446, 74460Z-1 (2009).

Jian, W.

W. Jian, R. Longtao, and Z. Chunhui, in Congress on Image and Signal Processing, CISP '08 (IEEE, 2008), Vol. 1, p. 627.

Larkin, K. G.

Longtao, R.

W. Jian, R. Longtao, and Z. Chunhui, in Congress on Image and Signal Processing, CISP '08 (IEEE, 2008), Vol. 1, p. 627.

Metikas, G.

S. C. Olhede and G. Metikas, IEEE Trans. Signal Process. 57, 3426 (2009).
[CrossRef]

Nahavandi, S.

A. Bhatti and S. Nahavandi, in 2006 International Conference on Computer Graphics, Imaging, and Visualization, CGIV '06 (IEEE, 2006), p. 267.

Oldfield, M. A.

Olhede, S. C.

S. C. Olhede and G. Metikas, IEEE Trans. Signal Process. 57, 3426 (2009).
[CrossRef]

Sage, D.

M. Unser, D. Sage, and D. Ville, IEEE Trans. Image Process. 18, 2402 (2009).

Scharstein, D.

D. Scharstein and R. Szeliski, Int. J. Comput. Vis. 47, 7 (2002).
[CrossRef]

Sommer, G.

M. Felsberg and G. Sommer, J. Math. Imaging Vision 2695, 5 (2004).
[CrossRef]

M. Felsberg and G. Sommer, IEEE Trans. Signal Process. 49, 3136 (2001).
[CrossRef]

Storath, M.

S. Held and M. Storath, Proc. SPIE 7446, 74460Z-1 (2009).

Szeliski, R.

D. Scharstein and R. Szeliski, Int. J. Comput. Vis. 47, 7 (2002).
[CrossRef]

Tuytelaars, T.

H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
[CrossRef]

Unser, M.

M. Unser, D. Sage, and D. Ville, IEEE Trans. Image Process. 18, 2402 (2009).

D. Ville, T. Blu, B. Forster, and M. Unser, in 2004 International Conference on Image Processing, ICIP '04 (IEEE, 2004), p. 661.

Ville, D.

M. Unser, D. Sage, and D. Ville, IEEE Trans. Image Process. 18, 2402 (2009).

D. Ville, T. Blu, B. Forster, and M. Unser, in 2004 International Conference on Image Processing, ICIP '04 (IEEE, 2004), p. 661.

Comput. Vis. Image Underst.

H. Bay, A. Ess, T. Tuytelaars, and L. V. Gool, Comput. Vis. Image Underst. 110, 346 (2008).
[CrossRef]

IEEE Trans. Image Process.

M. Unser, D. Sage, and D. Ville, IEEE Trans. Image Process. 18, 2402 (2009).

IEEE Trans. Signal Process.

S. C. Olhede and G. Metikas, IEEE Trans. Signal Process. 57, 3426 (2009).
[CrossRef]

M. Felsberg and G. Sommer, IEEE Trans. Signal Process. 49, 3136 (2001).
[CrossRef]

Int. J. Comput. Vis.

D. Scharstein and R. Szeliski, Int. J. Comput. Vis. 47, 7 (2002).
[CrossRef]

J. Math. Imaging Vision

M. Felsberg and G. Sommer, J. Math. Imaging Vision 2695, 5 (2004).
[CrossRef]

J. Opt. Soc. Am. A

Proc. SPIE

S. Held and M. Storath, Proc. SPIE 7446, 74460Z-1 (2009).

Other

D. Ville, T. Blu, B. Forster, and M. Unser, in 2004 International Conference on Image Processing, ICIP '04 (IEEE, 2004), p. 661.

W. L. Chan, M.S. thesis (Rice University, 2006).

W. Jian, R. Longtao, and Z. Chunhui, in Congress on Image and Signal Processing, CISP '08 (IEEE, 2008), Vol. 1, p. 627.

A. Bhatti and S. Nahavandi, in 2006 International Conference on Computer Graphics, Imaging, and Visualization, CGIV '06 (IEEE, 2006), p. 267.

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