2023/04/06 by Iván de Jesús May-Cen, May-Cen, Ivan, Ricardo Legarda-Sáenz +3
Computer Science · #Advanced Vision and Imaging #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Image and Video Processing (eess.IV) #Medical Image Segmentation Techniques #Numerical Analysis (math.NA) #Optical measurement and interference techniques #Optics (physics.optics) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2304.02842
openalex publication_date 2023/04/06 · openalex created_date 2023/06/10 · openalex updated_date 2026/07/28
In this paper, we introduce a total variation based variational model for denoising wrapped phase images. Our model improves on former methods by preserving discontinuities of the phase map and enforcing the fundamental Pythagorean trigonometric identity between the real and imaginary parts of the phase map enhancing the quality of the restored phase. The existence and uniqueness of the solution of our model is proven using standard methods. Further, we provide a fast fixed point method for finding the numerical solution and prove its convergence. Experiments on both synthetic and real patterns verify our findings.