A new algorithm for filtering noise in phase maps that contain 2π discontinuities is presented. The algorithm is based on a thermal model that uses the heat equation to perform low-pass filtering. A similar approach is used in image processing for filtering noise, but the edges are generally distorted because of their inherent high frequencies. A solution that consists in redefining the spatial derivatives is proposed here. Simulation results are presented and discussed.
© 2001 Optical Society of America
Original Manuscript: May 25, 2000
Revised Manuscript: October 2, 2000
Published: February 10, 2001
César Daniel Perciante, "Noise reduction in phase maps with 2π phase jumps by means of the heat equation," Appl. Opt. 40, 652-655 (2001)