TY - GEN
T1 - Model-based two-dimensional phase unwrapping
AU - Friedlander, Benjamin
AU - Francos, Joseph M.
N1 - Funding Information:
‘This work was partially supported by the United States Army Research Office under Contract DAAL03-91-C-0022, sponsored by US. Amy Communications Electronics Com- mand, Center for Signals Warfare.
Publisher Copyright:
© 1996 IEEE.
PY - 1995/1/1
Y1 - 1995/1/1
N2 - A parametric model, and a corresponding parameter estimation algorithm for unwrapping two-dimensional phase functions, are presented. While conventional approaches to the 2-D phase unwrapping problem usually involve local analysis of the phase image, the proposed algorithm performs global analysis of the observed signal and hence it is insensitive to local errors. In its first step the algorithm fits a 2-D polynomial model to the observed phase. The estimated phase is then used as a reference information which directs the actual phase unwrapping process: The phase of each sample of the observed field is unwrapped by increasing (decreasing) it by the multiple of 2π which is the nearest to the estimated phase value at this coordinate. In practical applications the entire phase function cannot be approximated by a single 2-D polynomial model. Hence the observed field is segmented, and each segment is fitted with its own model. Once the phase model of the observed field has been estimated we can repeat the model-based unwrapping procedure described earlier for the case of a single segment and a single model field.
AB - A parametric model, and a corresponding parameter estimation algorithm for unwrapping two-dimensional phase functions, are presented. While conventional approaches to the 2-D phase unwrapping problem usually involve local analysis of the phase image, the proposed algorithm performs global analysis of the observed signal and hence it is insensitive to local errors. In its first step the algorithm fits a 2-D polynomial model to the observed phase. The estimated phase is then used as a reference information which directs the actual phase unwrapping process: The phase of each sample of the observed field is unwrapped by increasing (decreasing) it by the multiple of 2π which is the nearest to the estimated phase value at this coordinate. In practical applications the entire phase function cannot be approximated by a single 2-D polynomial model. Hence the observed field is segmented, and each segment is fitted with its own model. Once the phase model of the observed field has been estimated we can repeat the model-based unwrapping procedure described earlier for the case of a single segment and a single model field.
UR - http://www.scopus.com/inward/record.url?scp=85062183927&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.1995.540926
DO - 10.1109/ACSSC.1995.540926
M3 - Conference contribution
AN - SCOPUS:85062183927
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 1389
EP - 1393
BT - Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995
A2 - Singh, Avtar
PB - Institute of Electrical and Electronics Engineers
T2 - 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995
Y2 - 30 October 1995 through 1 November 1995
ER -