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
César Daniel Perciante, "Noise Reduction in Phase Maps with 2 π Phase Jumps by Means of the Heat Equation," Appl. Opt. 40, 652-655 (2001)