Speckle reduction in digital holography with non-local means filter based on the Pearson correlation coefficient and Butterworth filter
Kai Chen, Li Chen, JiaQi Xiao, JinYang Li, YiHua Hu, KunHua Wen
Abstract
This Letter presents a non-local means filter based on the Pearson correlation coefficient and Butterworth high-pass filter. In the method, the new gray value of the denoising pixel is equal to the weighted sum of the surrounding pixel values. We use the Pearson correlation coefficient between the pixels to calculate the weight of the surrounding pixels to the denoising pixel, then use Butterworth high-pass filter to optimize. Experimental results show that the method effectively reduces the speckle noise of digital holography and the image details are also very rich. At the same time, its performance is still better when compared with methods such as BM3D.
Topics & Concepts
Butterworth filterPixelSpeckle noiseSpeckle patternFilter (signal processing)Noise reductionCorrelation coefficientOpticsNon-local meansComputer scienceRaised-cosine filterHolographyNoise (video)Digital holographyMathematicsPearson product-moment correlation coefficientDigital filterPhysicsArtificial intelligenceMedian filterImage processingComputer visionLow-pass filterHigh-pass filterRoot-raised-cosine filterMatched filterOptical correlatorOptical filterDigital Holography and MicroscopyAdvanced Optical Imaging TechnologiesOptical measurement and interference techniques