Noise reduction in phase maps with 2π phase jumps by means of the heat equation

César Daniel Perciante

doi:10.1364/AO.40.000652

Noise reduction in phase maps with 2π phase jumps by means of the heat equation

César Daniel Perciante

Facultad de Ingeniería (UdelaR)

Research output: Contribution to journal › Article › peer-review

Abstract

A new algorithm for filtering noise in phase maps that contain 2p 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.

Original language	English
Pages (from-to)	652-655
Number of pages	4
Journal	Applied Optics
Volume	40
Issue number	5
DOIs	https://doi.org/10.1364/AO.40.000652
State	Published - 10 Feb 2001
Externally published	Yes

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10.1364/AO.40.000652

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title = "Noise reduction in phase maps with 2π phase jumps by means of the heat equation",

abstract = "A new algorithm for filtering noise in phase maps that contain 2p 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.",

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Noise reduction in phase maps with 2π phase jumps by means of the heat equation

Abstract

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