in this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. we give some sufficient conditions for functions belonging to this class.

Image enhancement is an important processing task in image processing field. By applying image enhancement, blur or any type of noise in the image can be removed so that the resultant image quality is better. Image enhancement is used in various fields like medical diagnosis, remote sensing, agriculture, geology, oceanography. There are numbers of techniques for image enhancement. Image interpo...

Image magnification algorithms directly affect the quality of image magnification. In this paper, based on the image interpolation algorithm principle, features of the nearest neighbor interpolation, bilinear interpolation, bicubic interpolation and cubic B spline interpolation were analyzed. At the same time, their advantages and disadvantages were compared. In the experiment, image magnificat...

Assumptions about image continuity lead to oversmoothed edges in common image interpolation algorithms. A wavelet-based interpolation method that imposes no continuity constraints is introduced. The algorithm estimates the regularity of edges by measuring the decay of wavelet transform coefficients across scales and preserves the underlying regularity by extrapolating a new subband to be used i...

We present a novel feature-based image interpolation approach. Two continuous maps for the image domain are constructed via an L-gradient flow based on their multi-resolution representations so that the features of the given images are matched at multiple scales. The flow equation is efficiently solved using a finite element method in the bicubic B-spline vector-valued function space. The inter...

We present our method of real-time rendering of grid-structured data. The method uses bicubic spline interpolation running on common current graphics hardware to map the values to a texture. It allows us to render isolines of the visualized data and dynamically change the visualization parameters. We have implemented the method and incorporated it into a system of real-time simulation and visua...