A Variational Model for Wrapped Phase Denoising

Ivan May-Cen, Ricardo Legarda-Saenz () and Carlos Brito-Loeza
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Ivan May-Cen: CLIR at Facultad de Matematicas, Universidad Autonoma de Yucatan, Merida 97205, Mexico
Ricardo Legarda-Saenz: CLIR at Facultad de Matematicas, Universidad Autonoma de Yucatan, Merida 97205, Mexico
Carlos Brito-Loeza: CLIR at Facultad de Matematicas, Universidad Autonoma de Yucatan, Merida 97205, Mexico

Mathematics, 2023, vol. 11, issue 12, 1-15

Abstract: This paper presents a variational model for the denoising of wrapped phase images. By enforcing the required Pythagorean trigonometric identity between the real and imaginary components of the signal, this model improves the signal-to-noise ratio of the restored signal. To preserve phase map discontinuities, the model is based on total variation. The existence and uniqueness of the model’s solution are demonstrated using standard techniques. In addition, the convergence of a rapid fixed-point method to determine the numerical solution is demonstrated. Experiments on both synthetic and actual patterns validate the model’s performance.

Keywords: denoising wrapped phase; total variation; fixed-point method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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