Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model
SIAM Journal on Imaging Sciences
Adaptive total variation denoising based on difference curvature
Image and Vision Computing
IEEE Transactions on Image Processing
Image enhancement and denoising by complex diffusion processes
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Image Processing
Speckle reducing anisotropic diffusion
IEEE Transactions on Image Processing
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In this paper, a complex diffusion based nonlinear filter for speckle reduction from optical coherence tomography (OCT) images is proposed in a variational framework. The speckle noise pattern in optical coherence tomography images follows Rayleigh's probability distribution function (pdf). The initial condition of the proposed filter is the speckle noised OCT images and output is the better quality speckle reduced image. For digital implementations, the proposed scheme is discretized using finite differences scheme. The performance comparison in terms of improvement in signal-to-noise ratio (SNR) of the proposed scheme with other standard speckle reduction techniques such as Lee filter, Frost filter, Kuan filter, SRAD filter, homomorphic Wiener filter and homomorphic versions of anisotropic diffusion based filter and nonlinear complex diffusion based filter, and another proposed anisotropic diffusion based filter is presented. The obtained shows the efficacy of the proposed scheme.