In this paper, we propose a unified energy minimization model for segmentation of non-smooth image structures, e.g., textures, based on Mumford-Shah functional and linear patch model. We consider that image patches of a non-smooth image structure can be modeled by a patch subspace, and image patches of different non-smooth image structures belong to different patch subspaces, which leads to a c...

Text line segmentation in handwritten documents is an important step in document processing. We present a new text line segmentation method based on the Mumford-Shah model. The algorithm is script independent. In addition, we use morphing to remove overlaps between neighboring text lines and connect broken ones. Experimental results show the validity of our method.

In this paper we present a video segmentation procedure obtained minimizing a modified version of the simplified Mumford Shah functional used for image partition. This procedure uses a graph with spatial and temporal connections to model a video sequence. The temporal connections are defined pre-computing the dense optical flow using methods available in the literature. To simplify the function...

In this paper, we extend Mumford-Shah energy, the most general model for image segmentation on the assumption that all visible surface patches have intensity which is slowly varying plus noise, to unsupervised texture segmentation by considering multiple channels including both colors and Gabor wavelets representations. The Mumford-Shah energy in the paper thus formalizes a tradeoff between reg...

We introduce several color image restoration algorithms based on the Mumford-Shah model and nonlocal image information. The standard Ambrosio-Tortorelli and Shah models are defined to work in a small local neighborhood, which are sufficient to denoise smooth regions with sharp boundaries. However, textures are not local in nature and require semi-local/non-local information to be denoised effic...

Piecewise constant Mumford-Shah segmentation [17] has been rediscovered by Chan and Vese [6] in the context of region based active contours. The work of Chan and Vese demonstrated many practical applications thanks to their clever numerical implementation using the level-set technology of Osher and Sethian [18]. The current work proposes a Γ -convergence formulation to the piecewise constant Mu...

A new model is introduced for the segmentation problem of thin structures, like tubes or thin plates, in an image. The energy is based on the Mumford-Shah model and it introduces as a new variable a continuous and anisotropic perturbation of the Hausdorff measure. A relaxed formulation in the special space of functions with bounded variations is given and the existence of a solution is establis...

using the analytic-historical method, this article attempts to explain the cultural policies of the first shah of the pahlavi dynasty toward women. relying on the theory of evolution and formation of national identity in iran, the article seeks to answer this question: ‘what is the impact of the cultural policies of the first shah of the pahlavi dynasty on the occurrence of identity crisis amon...

We focus on the multi-class segmentation problem using the piecewise constant Mumford-Shah model in a graph setting. After formulating a graph version of the Mumford-Shah energy, we propose an efficient algorithm called the MBO scheme using threshold dynamics. Theoretical analysis is developed and a Lyapunov functional is proven to decrease as the algorithm proceeds. Furthermore, to reduce the ...