Abstract

We present a generic regularized formulation, based on robust half-quadratic regularization, for unwrapping noisy and discontinuous wrapped phase maps. Two cases are presented: the convex case and the nonconvex case. The unwrapped phase with the convex formulation is unique and robust to noise; however, the convex function solution deteriorates as a result of real discontinuities in phase maps. Therefore we also present a nonconvex formulation that, with a parameter continuation strategy, shows superior performance.

© 2004 Optical Society of America

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  1. J. L. Marroquin and M. Rivera, J. Opt. Soc. Am. A 12, 2393 (1995).
    [CrossRef]
  2. M. J. Black and A. Rangarajan, Int. J. Comput. Vision 19, 57 (1996).
    [CrossRef]
  3. P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
    [CrossRef]
  4. M. Rivera and J. L. Marroquin, Image Vision Comput. 21, 345 (2003).
    [CrossRef]
  5. M. Rivera and J. L. Marroquin, Comput. Vision Image Understand. 88, 76 (2002).
    [CrossRef]
  6. D. C. Ghiglia and L. A. Romero, J. Opt. Soc. Am. A 13, 1999 (1996).
    [CrossRef]

2003 (1)

M. Rivera and J. L. Marroquin, Image Vision Comput. 21, 345 (2003).
[CrossRef]

2002 (1)

M. Rivera and J. L. Marroquin, Comput. Vision Image Understand. 88, 76 (2002).
[CrossRef]

1997 (1)

P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
[CrossRef]

1996 (2)

M. J. Black and A. Rangarajan, Int. J. Comput. Vision 19, 57 (1996).
[CrossRef]

D. C. Ghiglia and L. A. Romero, J. Opt. Soc. Am. A 13, 1999 (1996).
[CrossRef]

1995 (1)

Aubert, G.

P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
[CrossRef]

Barlaud, M.

P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
[CrossRef]

Black, M. J.

M. J. Black and A. Rangarajan, Int. J. Comput. Vision 19, 57 (1996).
[CrossRef]

Blanc-Féraud, L.

P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
[CrossRef]

Charbonnier, P.

P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
[CrossRef]

Ghiglia, D. C.

Marroquin, J. L.

M. Rivera and J. L. Marroquin, Image Vision Comput. 21, 345 (2003).
[CrossRef]

M. Rivera and J. L. Marroquin, Comput. Vision Image Understand. 88, 76 (2002).
[CrossRef]

J. L. Marroquin and M. Rivera, J. Opt. Soc. Am. A 12, 2393 (1995).
[CrossRef]

Rangarajan, A.

M. J. Black and A. Rangarajan, Int. J. Comput. Vision 19, 57 (1996).
[CrossRef]

Rivera, M.

M. Rivera and J. L. Marroquin, Image Vision Comput. 21, 345 (2003).
[CrossRef]

M. Rivera and J. L. Marroquin, Comput. Vision Image Understand. 88, 76 (2002).
[CrossRef]

J. L. Marroquin and M. Rivera, J. Opt. Soc. Am. A 12, 2393 (1995).
[CrossRef]

Romero, L. A.

Comput. Vision Image Understand. (1)

M. Rivera and J. L. Marroquin, Comput. Vision Image Understand. 88, 76 (2002).
[CrossRef]

IEEE Trans. Image Process. (1)

P. Charbonnier, L. Blanc-Féraud, G. Aubert, and M. Barlaud, IEEE Trans. Image Process. 6, 298 (1997).
[CrossRef]

Image Vision Comput. (1)

M. Rivera and J. L. Marroquin, Image Vision Comput. 21, 345 (2003).
[CrossRef]

Int. J. Comput. Vision (1)

M. J. Black and A. Rangarajan, Int. J. Comput. Vision 19, 57 (1996).
[CrossRef]

J. Opt. Soc. Am. A (2)

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