Accurate Free-Form Deformation is an analytical solution of deformation sampling, where a polygonal object is deformed as a set of trimmed Bézier surfaces. However, the operation is far from being interactive due to its high computational cost. In this paper, we proposed a real-time B-spline FreeForm Deformation of polygonal objects via GPU acceleration. Various time-consuming evaluations are d...

This paper examines, in mouse spleen lymphocytes, the effect of anti-immunoglobulin (anti-Ig) on the cytoplasmic free calcium concentration, [Ca2+]i, measured with the fluorescent indicator quin2, and the relationship of [Ca2+]i to the capping of surface Ig. Anti-Ig causes a rapid rise of [Ca2+], which precedes capping. Assuming that only those 40-50% of the cells which can bind anti-Ig (the B ...

Based on a new analytical approach to the definition of additive free con-volution on probability measures on the real line we prove free analogs of limit theorems for sums for non-identically distributed random variables in classical Probability Theory.

We study the covariant free bosonic string field theory and explore its locality (causality) properties. We find covariant string fields which are strictly local and covariant, but act on an unconstrained Hilbert space with an indefinite inner product. From these we also define observable fields which act on the physical Hilbert space with an definite inner product. These are shown to be approx...

Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...

As reported in the previous paper by the authors, two kinds of precursor of plasminogen activator were presented by gel filtration method, which were named proactivator A and proactivator B.1) However the former fraction did not contain plasminogen, the latter on the other hand always coexisted with plasminogen, which seemed to be difficult to separate. Therefore, a question arises that fibrino...

1. Free holomorphic functions and Hausdorff derivations 2. Cauchy, Liouville, and Schwartz type results for free holomorphic functions 3. Algebras of free holomorphic functions 4. Free analytic functional calculus and noncommutative Cauchy transforms 5. Weierstrass and Montel theorems for free holomorphic functions 6. Free pluriharmonic functions and noncommutative Poisson transforms 7. Hardy s...

In this work, we extend a previously demonstrated entropy based groupwise registration method to include a free-form deformation model based on B-splines. We provide an efficient implementation using stochastic gradient descents in a multi-resolution setting. We demonstrate the method in application to a set of 50 MRI brain scans and compare the results to a pairwise approach using segmentation...

A simple, efficient, and cost-effective procedure for the N-tert-butoxycarbonylation and N-formylation of amines (primary, secondary) respectively, with di-tert-butyl dicarbonate and 85% aqueous formic acid under solvent-free condition using B(OSO3H)3/SiO2 (SBSA) as a heterogeneous and recyclable catalyst has been developed. We demonstrated that the resulting catalyst is applicable to various a...

In this paper we continue the study of free holomorphic functions on the noncommutative ball [B(H)]1 := n (X1, . . . , Xn) ∈ B(H) n : ‖X1X ∗ 1 + · · ·+ XnX ∗ n‖ 1/2 < 1 o , where B(H) is the algebra of all bounded linear operators on a Hilbert space H, and n = 1, 2, . . . or n = ∞. Several classical results from complex analysis have free analogues in our noncommutative setting. We prove a maxi...