Study of adaptive elliptical ideal low-pass filters used for denoising of digital speckle interferograms obtained in phase-shifting digital speckle pattern interferometry

Abstract

Ideal low-pass filtering methods were studied in detail and adaptive elliptical ideal low-pass filters proposed for the first time. The proposed adaptive elliptical ideal low-pass filters can be used effectively for denoising of digital speckle interferograms obtained in phase-shifting digital speckle pattern interferometry. The shape of adaptive elliptical ideal low-pass filters is determined according to the spectrum distribution of interference fringes by using the adaptive method. Theoretical analysis, simulation calculation, and experimental results are presented, and are in good agreement.

Keywords:

• adaptive elliptical ideal low-pass filter
• digital speckle interferogram
• phase-shifting interferometry
• digital speckle pattern interferometry