Based on the statistical property of SAR image speckle noise and the property that the multiscale geometric analysis can capture the intrinsic geometrical structure of image, combining curvelet transform with BivaShrink denoising model, a method of SAR image denoising based on curvelet domain is presented in this paper. According to calculation of variance homogeneous measurement and curvelet c...

This chapter is about objective image quality assessment (IQA), which has been recognized as an effective and efficient way to predict the visual quality of distorted images. Basically, IQA has three different dependent degrees on original images, namely, full-reference (FR), noreference (NR), and reduced-reference (RR). To begin with, the fundamentals of IQA are introduced and a broad treatmen...

abstract: in this paper, an exergy analysis approach is proposed for optimal design of distillation column by using simulated annealing algorithm. first, the simulation of a distillation column was performed by using the shortcut results and irreversibility in each tray was obtained. the area beneath the exergy loss profile was used as irreversibility index in the whole column. then, first opti...

The kinematic sensitivity is a unit-consistent measure that has been recently proposed as a mechanism performance index to compare robot architectures. This paper presents a robust geometric approach for computing this index for the case of planar parallel mechanisms. The physical meaning of the kinematic sensitivity is investigated through different combinations of the Euclidean and infinity n...

Schubert polynomials generalize Schur polynomials, but it is not clear how to generalize several classical formulas: the Weyl character formula, the Demazure character formula, and the generating series of semistandard tableaux. We produce these missing formulas and obtain several surprising expressions for Schubert polynomials. The above results arise naturally from a new geometric model of Sc...

PURPOSE The purpose of this study was to examine the relationship between age-specific body mass index (BMI-for-age) and dental caries among US children. METHODS Body measures data and oral health data came from the 1999-2002 National Health and Nutrition Examination Survey. Outcome measures for primary and permanent dentitions were: (1) dental caries prevalence; and (2) severity (geometric m...

This paper examines an index reduction method for linear time-invariant differential algebraic equations, with uncertainty in the equation coefficients. When the bottom block of a block upper triangular leading matrix contains no elements that can be distinguished from zero, the natural action to take is to replace all numbers in the block by exact zeros, and then proceed with index reduction b...

Index Structures: We continue our discussion of useful geometric data structure for computer games. So far we have discussed data structures for representing meshes (and more generally, cell complexes), geometric graphs (such as the visibility graph, θ-graph), and spatial subdivisions (such as the Delaunay triangulation). Usually, when we think of data structures for 1-dimensional data (such as...

A novel segmentation scheme for noisy image is proposed. According to the analysis of wavelet denoising method and multiscale geometric analysis techniques, an improved wavelet denoising algorithm combined with multiscale geometric analysis is presented in this paper first. Due to the isotropic nature of wavelet transform, 2D image details are not well represented in wavelet transform, which re...

The compactness of solutions to geometric and analytic equations, when it is true, is fundamental in the study of geometric analysis. In this chapter we state and prove Hamilton’s compactness theorem for solutions of the Ricci flow assuming Cheeger and Gromov’s compactness theorem for Riemannian manifolds with bounded geometry (proved in Chapter 4). In Section 3 of this chapter we also give var...