Mathematical Representation of Images

Digital Image Processing: Human Visual System - Duong Anh Duc presents about Human Visual System; Cross-section of the Human Eye; Light and EM Spectrum; Image Sensing and Acquisition; Mathematical Representation of Images; Effect of spatial resolution; Application Areas.

21p cocacola_08 21-11-2015 48 1   Download

In this paper we show that an odd Galois representation ρ : Gal(Q/Q) → ¯ GL2 (F9 ) having nonsolvable image and satisfying certain local conditions at 3 and 5 is modular. Our main tools are ideas of Taylor [21] and Khare [10], which reduce the problem to that of exhibiting points on a Hilbert modular surface which are defined over a solvable extension of Q, and which satisfy certain reduction properties. As a corollary, we show that Hilbert-Blumenthal abelian surfaces with ordinary reduction at 3 and 5 are modular. ...

33p noel_noel 17-01-2013 41 5   Download

Introduction 2. The strategy 3. Some preliminaries 3.1. Mumford-Tate groups 3.2. Variations of Z-Hodge structure on Shimura varieties 3.3. Representations of tori 4. Lower bounds for Galois orbits 4.2. Galois orbits and Mumford-Tate groups 4.3. Getting rid of G 4.4. Proof of Proposition 4.3.9 5. Images under Hecke correspondences 6. Density of Hecke orbits 7. Proof of the main result 7.3. The case where i is bounded 7.4. The case where i is not bounded 1. Introduction The aim of this article is to prove a special case of the following conjecture of Andr´ and Oort on subvarieties...

26p tuanloccuoi 04-01-2013 59 6   Download

CONTINUOUS IMAGE MATHEMATICAL CHARACTERIZATION In the design and analysis of image processing systems, it is convenient and often necessary mathematically to characterize the image to be processed. There are two basic mathematical characterizations of interest: deterministic and statistical. In deterministic image representation, a mathematical image function is defined and point properties of the image are considered. For a statistical image representation, the image is specified by average properties.

19p doroxon 12-08-2010 83 16   Download