Since the seminal works of Mumford-Shah [16] and Perona-Malik [18], variational and PDE-based methods have found a wide range of applications in Image Processing and have generated steady interest in the mathematical community. The latter is at least partly due to the difficulties one encounters in developing a mathematical theory encopassing equations which are often ill-posed albeit practical...

BACKGROUND Developmental dysplasia of the hip (DDH) can be detected with ultrasonography (USG) images. However, the accuracy of this method is dependent on the skill of the radiologist. Radiologists measure the hip joint angles without computer-based diagnostic systems. This causes mistakes in the diagnosis of DDH. OBJECTIVES In this study, we aimed to automate segmentation of DDH ultrasound ...

We study efficient implicit methods to denoise low-field MR images using a nonlinear diffusion operator as regularizer. This problem can be formulated solving reaction–diffusion equation. After discretization, lagged-diffusion approach is used which requires linear system solve in every iteration. The choice of model determines the denoising properties, but it also influences conditioning syste...

For image segmentation, level set models are frequently employed. It offer best solution to overcome the main limitations of deformable parametric models. However, challenge when applying those in medical images stills deal with removing blurs edges which directly affects edge indicator function, leads not adaptively segmenting and causes a wrong analysis pathologies wich prevents conclude corr...

Multiscale image enhancement and representation is an important part of biological and machine early vision systems. The process of constructing this representation must be both rapid and insensitive to noise, while retaining image structure at all scales. This is a complex task as small scale structure is difficult to distinguish from noise, while larger scale structure requires more computati...

Partitioning of a graph representation, defined over low-level image features based on Gestalt inspired relations, is an effective strategy for forming coherent perceptual groups in an image. The usual practice, mainly motivated by efficiency considerations, is to approximate the general K-way partitioning solution by recursive bi-partitioning, where at each step the graph is broken into two pa...

although there are many methods for image denoising, but partial differential equation (pde) based denoising attracted much attention in the field of medical image processing such as magnetic resonance imaging (mri). the main advantage of pde-based denoising approach is laid in its ability to smooth image in a nonlinear way, which effectively removes the noise, as well as preserving edge throug...

Glaucoma and Stargardt’s, an inherited disease predominantly affect the retinal portion of eye. The diagnosis in a fundus image is arduous, time consuming process. There were many research works carried out to detect early stages Stargardt’s disease. However, accuracy, diagnostic performance not improved. To resolve above said problems, computational method called Deep Neural Perona–Malik Diffu...