Globally, the solution set of a system of polynomial equations with complex coefficients can be decomposed into irreducible components. Using numerical algebraic geometry, each irreducible component is represented using a witness set thereby yielding a numerical irreducible decomposition of the solution set. Locally, the irreducible decomposition can be refined to produce a local irreducible de...

Digital watermarking is an effective way to protect copyright. In this paper, a robust watermarking algorithm based on wavelet transformation is proposed which can confirm the copyright without original image. The wavelet transformation technique is effective in image analyzing and processing. Thus the color-image watermark algorithm based on discrete wavelet transformation (DWT) begins to draw...

An Image fusion method based on segmentation region is proposed in this paper. First, the source images are decomposed by wavelet to get the approximate and detailed sub-images, and the segmentation by watershed method for these sub-images are used to get the regions of each level, these regions are used to guide fusion process. The activity level and match degree measure of the wavelet coeffic...

In this paper, a novel algorithm for mammographic images enhancement and denoising based on Multiscale Geometric Analysis (MGA) is proposed. Firstly mammograms are decomposed into different scales and directional subbands using Nonsubsampled Contourlet Transform (NSCT). After modeling the coefficients of each directional subbands using Generalized Gaussian Mixture Model (GGMM) according to the ...

In recent years image fusion plays a vital role in the image processing area. Fused images would help in doing many applications in image processing like segmentation, image enhancement and many. In order to improve the effect of fusion visible and infrared image images of the same scene, this paper presents an image fusion method based on lifting wavelet domain. Firstly, the source images are ...

Optimal spectral decomposition (OSD) is applied to ocean data assimilation with variable (temperature, salinity, or velocity) anomalies (relative to background or modeled values) decomposed into generalized Fourier series, such that any anomaly is represented by a linear combination of products of basis functions and corresponding spectral coefficients. It has three steps: 1) determination of t...

A 'differential measure' is used to cast our calculus for the group SU (3) into a form similar to Schwinger's boson operator calculus for the group SU (2). It is then applied to compute (i) the inner product between the basis states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These were obtained earlier by us using Gaussian integration techniques.

This paper briefly presents architecture of pre-encoded multipliers for Digital Signal Processing applications based on off-line encoding of coefficients. Complex arithmetic operations are widely used in Digital Signal Processing (DSP) applications. To this extend, the Non-Redundant radix-4 Signed-Digit (NR4SD) encoding technique, which uses the digit values (-1;0;+1;+2) or (-2;-1; 0;+1) is pro...

A new high-speed, programmable FIR filter is present, which is a multiplierless filter with CSD encoding coefficients. With this encoding scheme, the speed of filter is improved and the area is optimized. In order to make this filter more applicable, we employ a new programmable CSD encoding structure to make CSD coefficients programmable. In the end of this paper, we design a 10-bits, 18 taps...