Consistency proof of two denoising methods and the parameter selection of PDE fi

Electronic speckle pattern interferometry (ESPI) is a nondestructive, whole-field optical measurement technique. The removal of speckle noise is fundamental to extract measurement information accurately. In this letter, two filtering methods based on the oriented feature of ESPI fringes, i.e., the second-order oriented partial differential equation (SOOPDE) and oriented, regularized quadratic-cost function filtering methods, are first proven to be consistent. An important question in solving par