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Two-dimensional phase unwrapping using robust derivative estimation and adaptive integration

Content Provider	IEEE Xplore Digital Library
Author	Strand, J. Taxt, T.
Copyright Year	1992
Abstract	The adaptive integration (ADI) method for two-dimensional (2-D) phase unwrapping is presented. The method uses an algorithm for noise robust estimation of partial derivatives, followed by a noise robust adaptive integration process. The ADI method can easily unwrap phase images with moderate noise levels, and the resulting images are congruent modulo 2/spl pi/ with the observed, wrapped, input images. In a quantitative evaluation, both the ADI and the BLS methods of Strand et al. (see ibid., vol.8, p.375-86, Mar. 1999) were better than the least-squares methods of Ghiglia and Romero (1994) (GR), and of Marroquin and Rivera (1995) (MRM). In a qualitative evaluation, the ADI, the BLS, and a conjugate gradient version of the MRM method (MRMCG), were all compared using a synthetic image with shear, using 115 magnetic resonance images, and using 22 fiber-optic interferometry images. For the synthetic image and the interferometry images, the ADI method gave consistently visually better results than the other methods. For the MR images, the MRMCG method was best, and the ADI method second best. The ADI method was less sensitive to the mask definition and the block size than the BLS method, and successfully unwrapped images with shears that were not marked in the masks. The computational requirements of the ADI method for images of nonrectangular objects were comparable to only two iterations of many least-squares-based methods (e.g., GR). We believe the ADI method provides a powerful addition to the ensemble of tools available for 2-D phase unwrapping.
Sponsorship	IEEE Signal Processing Society
Starting Page	1192
Ending Page	1200
Page Count	9
File Size	304830
File Format	PDF
ISSN	10577149
Volume Number	11
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Phase estimation Noise robustness Magnetic resonance Magnetic resonance imaging Optical interferometry Two dimensional displays Noise level Optical imaging Magnetic fields Blood flow
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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