Fast Closed-Form Matting Using a Hierarchical Data Structure

A Convex Image Segmentation: Extending Graph Cuts and Closed-Form Matting

Image matting and segmentation are two closely related topics that concern extracting the foreground and background of an image. While the methods based on global optimization are popular in both fields, the cost functions and the optimization methods have been developed independently due to the different interests of the fields: graph cuts optimize combinatorial functions yielding hard segment...

A New Fast Data Encryption Algorithm (FDE)

A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method

In this paper a finite difference method for solving 2-dimensional diffusion equation is presented. The method employs Crank-Nicolson scheme to improve finite difference formulation and its convergence and stability. The obtained solution will be a recursive formula in each step of which a system of linear equations should be solved. Given the specific form of obtained matrices, rather than sol...

A New Fast Data Encryption Algorithm (FDE)

Fast Closed Form Approximation for Dynamic Network Resource Allocation

We consider dynamic delay guarantee and bandwidth allocation in communications networks. Our scenario includes linear pricing scheme for both Quality of Service parameters. The goal is (i) to maximize the revenue and (ii) guarantee fair resource allocation for connections. On the contrary to the traditional Lagrangian approach, we approach the problem by modified one, where the sum of the weigh...