This paper studies the merits of using knot interval notation for B-spline curves, and presents formulae in terms of knot intervals for common B-spline operations such as knot insertion, differentiation, and degree elevation. Using knot interval notation, the paper introduces MD-splines, which are B-spline-like curves that are comprised of polynomial segments of various degrees (MD stands for “...

A refinable spline in R is a compactly supported refinable function whose support can be decomposed into simplices such that the function is a polynomial on each simplex. The best known refinable splines in R are the box splines. Refinable splines play a key role in many applications, such as numerical computation, approximation theory and computer aided geometric design. Such functions have be...

Molecular dynamics (MD) is a valuable tool for the investigation of functional elements in biomolecules, providing information on dynamic properties and processes. Previous work by our group has characterized static geometric properties of the two MHC α-helices comprising the peptide binding region recognized by T cells. We build upon this work and used several spline models to approximate the ...

The DRM based procedures are sensitive to the selection of the function used in the DRM approximation, and hence the Dual Reciprocity Method Multi Domain approach (DRM-MD) encounters the same drawback. For 3D problems, there is no information available on the performance of DRM-MD using different approximation functions. Here, the accuracy of two DRM-MD codes that solve the Poisson and the adve...

the purpose of the present study was to investigate the use of personal and impersonal metadiscourse (md) by persian- and english-speaking writers in academic writing. for this purpose, 80 abstracts were selected (40 written by persian-speaking writers and 40 by english-speaking ones) and analyzed. these abstracts were selected from endocrinology and metabolism journals published during 2010 to...

S. Pajevic, P. J. Basser MSCL/CIT, National Institutes of Health, Bethesda, MD, United States, NICHD/STBB, NIH, Bethesda, MD, United States Introduction: Diffusion Tensor MRI (DTI) measures a diffusion tensor of water in tissue, fr om which useful micr ostructural information can be obtained [1]. DTI provides information about the local diffusion field from which one can attempt to reconstruct...

in the present research, implementations of different computational geometry technologies in isogeometric analysis framework for computational fracture mechanics are investigated. nurbs and t-splines are two different computational geometry technologies which are studied in this work. among features of b-spline basis functions the possibility of enhancing a b-spline basis with discontinuities b...

This paper investigates two important analytical properties of hyperbolic-polynomial penalized splines, HP-splines for short. HP-splines, obtained by combining a special type difference penalty with B-splines (HB-splines), were recently introduced the authors as generalization P-splines. HB-splines are bell-shaped basis functions consisting segments made real exponentials eαx,e−αx and linear mu...

‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis ...