title: Phase unwrapping for noisy phase maps using rotational compensator with virtual singular points.
abstract: In the process of phase unwrapping for an image obtained by an interferometer or in-line holography, noisy image data may pose difficulties. Traditional phase unwrapping algorithms used to estimate a two-dimensional phase distribution include much estimation error, due to the effect of singular points. This paper introduces an accurate phase-unwrapping algorithm based on three techniques: a rotational compensator, unconstrained singular point positioning, and virtual singular points. The new algorithm can confine the effect of singularities to the local region around each singular point. The phase-unwrapped result demonstrates that accuracy is improved, compared with past methods based on the least-squares approach.
authors.affiliation: Faculty of Engineering, Hokkaido University, Kita 13 Nishi 8, Kita-ku, Sapporo, Hokkaido 060-8628, Japan. tom@qe.eng.hokudai.ac.jp
authors.forename: Satoshi
authors.initials: S
authors.lastname: Tomioka
authors.forename: Samia
authors.initials: S
authors.lastname: Heshmat
authors.forename: Naoki
authors.initials: N
authors.lastname: Miyamoto
authors.forename: Shusuke
authors.initials: S
authors.lastname: Nishiyama
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D006696:Holography / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D007368:Interferometry / Q000379:methods*; D008027:Light; D009904:Optical Rotation