A theoretical analysis of improving the separation power of size exclusion chromatography by decreasing flowrate is conveyed. The variance of the elution curves is larger than expected form estimated dispersity in molecular weight, Mw/Mn. The shape of the elution curves depends strongly on experimental conditions. When the experimental conditions are approaching those to the ideal separation, j...

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called Mumford curves, over a non-archimedean field K. Such curves are foundational to subjects dealing with nonarchimedean varieties, including Berkovich theory and tropical geometry. We develop and implement numerical algorithms for Mumford curves over the field of p-adic numbers. A crucial and difficult step ...

Merging NURBS surfaces together and extending existing ones are common problems in CAD systems. Extending existing surface is usually done by creating a new separate surface and applying some merging function – result is one continuous surface. In this paper, full description of a method of direct extending existing surfaces is introduced. The extension of the surface is recomputed during its c...

Fat curves in two-dimensional Euclidean space are discussed. Previous work on fat curves is reviewed and a new definition is given for a fat curve having a smooth axis. The joining of two fat curves is discussed and a technique for scan-converting fat curves is presented. Note: This article has been modified to demonstrate the use of LATEX and the EG Publication Style file.

Travelling wave solutions to the vortex filament flow generated by elastica produce surfaces in R that carry mutually orthogonal foliations by geodesics and by helices. These surfaces are classified in the special cases where the helices are all congruent or are all generated by a single screw motion. The first case yields a new characterization for the Bäcklund transformation for constant tors...

This paper shows that, for any given T-spline, the linear independence of its blending functions can be determined by computing the nullity of the T-spline-to-NURBS transform matrix. The paper analyzes the class of Tsplines for which no perpendicular T-node extensions intersect, and shows that the blending functions for any such T-spline are linearly independent.

The traditional individual 3D virtual humand modeling method has drawbacks of mass data and complex post-processing. It doesn’t suit the Web application. The research presented in this paper is to propose a novel real-time approach of 3D human parameterized modeling based on anthropometry. According to the principle in Anthropometry and Anatomy, the model surface is divided into several parts. ...