—To improve the coding performance in JPEG image compression and reduce the computational complexity, this paper proposes a new transform called All Phase Inverse Discrete Sine Biorthogonal Transform (APIDSBT) based on the All Phase Biorthogonal Transform (APBT) and Inverse Discrete Sine Transform (IDST). Similar to Discrete Sine Transform (DST) matrix and Discrete Cosine Transform (DCT) matri...

We consider the class of image recovery problems where the desired image appears as the spatially-varying coefficients of a partial differential equation (PDE), the data consists of measured values on the boundary, and the forward map can only be adequately simulated by solving the PDE subject to boundary conditions. This is the natural mathematical setting for non-invasive imaging using strong...

Image interpolation is a common problem in imaging applications. However, most interpolation algorithms in existence suffer visually to some extent the effects of blurred edges and jagged artifacts in the image. This paper presents an adaptive feature preserving bidirectional flow process, where an inverse diffusion is performed to enhance edges along the normal directions to the isophote lines...

2 Derived Structures 4 2.1 Derived Direct Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Derived Sheaf Hom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Derived Inverse Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Existence of Quasi-coherent Flats . . . . . . . . . . . . . . . . . . . . . . . ....

In this paper, we introduce the notions of fuzzy topological subalgebras and ideals in K-algebras, and investigate some of their properties. We also discuss the properties of homomorphic image and inverse image of fuzzy topological ideals of K-algebras.

In the paper is presented one new approach for efficient decorrelation of multispectral images, based on hierarchical adaptive Principal Component Analysis. The research is aimed at the efficient compression of multispectral images (MS), whose resolution and band number in some application areas are extremely high. Together with this, also grows up the needed volume of the corresponding image d...