The paper attacks absolute phase estimation with a two-step approach: the first step applies an adaptive local denoising scheme to the modulo-
noisy phase; the second step applies a robust phase unwrapping algorithm to the denoised modulo-
phase obtained in the first step. The adaptive local modulo-
phase denoising is a new algorithm based on local polynomial approximations. The zero-order and the first-order approximations of the phase are calculated in sliding windows of varying size. The zero-order approximation is used for pointwise adaptive window size selection, whereas the first-order approximation is used to filter the phase in the obtained windows. For phase unwrapping, we apply the recently introduced robust (in the sense of discontinuity preserving) PUMA unwrapping algorithm [
IEEE Trans. Image Process.
16, 698 (2007)] to the denoised wrapped phase. Simulations give evidence that the proposed algorithm yields state-of-the-art performance, enabling strong noise attenuation while preserving image details.
© 2008 Optical Society of America
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(110.5086) Imaging systems : Phase unwrapping
(100.5088) Image processing : Phase unwrapping
Original Manuscript: June 13, 2008
Revised Manuscript: August 4, 2008
Manuscript Accepted: August 6, 2008
Published: October 7, 2008
Jose Bioucas-Dias, Vladimir Katkovnik, Jaakko Astola, and Karen Egiazarian, "Absolute phase estimation: adaptive local denoising and global unwrapping," Appl. Opt. 47, 5358-5369 (2008)