The information theoretic concept of mutual information provides a general framework to evaluate dependencies between variables. Its estimation however using B-Spline has not been used before in creating an approach for Independent Component Analysis. In this paper we present a B-Spline estimator for mutual information to find the independent components in mixed signals. Tested using electroenc...

This paper studies an alternating direction implicit orthogonal spline collocation (ADIOSC) technique for calculating the numerical solution of hyperbolic integrodifferential problem with a weakly singular kernel in two-dimensional domain. The integral term is approximated help second-order fractional quadrature formula introduced by Lubich. stability and convergence analysis proposed strategy ...

In this paper we report on the use of B-Spline lters in perfect reconstruction lter banks. For each polynomial order the analysis and synthesis FIR lters are evaluated, considering the error introduced by lter coe cient truncation, coding quantization and the distortion introduced by the lters themselves. It is shown that B-Spline lters exhibit higher energy concentration in the lower frequency...

We introduce a modeling constructor for micro-structures and porous geometry via curve-trivariate, surface-trivariate and trivariate-trivariate function (symbolic) compositions. By using 1-, 2and 3-manifold based tiles and paving them multiple times inside the domain of a 3-manifold deforming trivariate function, smooth, precise and watertight, yet general, porous/micro-structure geometry might...

This paper proposes a new progressive compression scheme for 3D triangular meshes, based on a multipatch B-Spline representation. First, the mesh is segmented into multiple patches. Each patch is then parameterized, and approximated by a B-Spline surface. The B-Spline control points are stored into 2D images and compressed using optimized still image encoders. The initial mesh topology is lossl...

We present multiresolution B-spline surfaces of arbitrary order defined over triangular domains. Unlike existing methods, the basic idea of our approach is to construct the triangular basis functions from their tensor product relatives in the spirit of box splines by projecting them onto the barycentric plane. The scheme works for splines of any order where the fundamental building blocks of th...

4 Generalized and Optimized Spline Calculation 8 4.1 Multidimensional Array Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.2 Condensing Matrix Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.3 Eliminating Nested Loops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4.4 Reduction of Product Tens...

It is proved that, among all nonnegative bases of its space, the B-spline basis is optimally stable for evaluating spline functions.

Recently, a novel laser data based SLAM algorithm using B-Spline as features has been developed in [Pedraza et al., 2007]. EKF is used in the proposed BS-SLAM algorithm and the state vector contains the current robot pose together with the control points of the splines. The obervation model used for the EKF update is the intersections of the laser beams with the splines contained in the map. In...

This work presents a scalable Discrete Wavelet Transform architecture based on the B-spline factorization. In particular, we show that several wavelet filters of practical interest have a common structure in the distributed part of their B-spline factorization. This common structure is effectively exploited to achieve scalability and to save multipliers compared with a direct polyphase B-spline...