ActiveVessel is a new multimedia workstation which enables the visualization, acquisition and handling of both image modalities, onand offline. It enables DICOM v3.0 decompression and browsing, video acquisition, reproduction and storage for IntraVascular UltraSound (IVUS) and angiograms with their corresponding ECG, automatic catheter segmentation in angiography images (using fast marching alg...

Interpolation of a sequence of points by spline curves generally requires the solution of a large system of equations. In this paper we provide a method which requires only local computation instead of a global system of equations and works for a large class of curves. This is a generalization of a method which previously developed for Bspline, NURBS and trigonometric CB-spline curves. Moreover...

In this paper we present a novel controller for Shape Memory Alloy (SMA) actuated robotic systems. The new controller, called BAC (B-spline based Adaptive Control), is based on a hybrid combination of gain scheduling, Bspline approximation, variable structure control and integral control. The proposed controller shows excellent positioning accuracy and speed throughout the full range of motion ...

Trimmed B-spline surfaces are very common in the geometric computer aided design (CAD) community due to their capability to represent complex shapes that cannot be modeled with ease using tensor product Bspline and NURBs surfaces. However, in many cases, handling trimmed-surfaces is far more complex than tensor-product (non-trimmed) surfaces. Many algorithms that operate on tensor-product surfa...

In this paper an algorithm is presented for the fitting of a tube shaped B-spline surface of (3,2) degrees to another surface along a given connection curve. Satisfying prescribed first and second order boundary conditions at a finite number of interpolation points on the connection curve several vertices of the control net of the bordering patches are computed from a fairness condition. The re...

We investigate posterior contraction rates for priors on multivariate functions that are constructed using tensor-product B-spline expansions. We prove that using a hierarchical prior with an appropriate prior distribution on the partition size and Gaussian prior weights on the Bspline coefficients, procedures can be obtained that adapt to the degree of smoothness of the unknown function up to ...

An efficient algorithm is presented for the computation of Fourier coefficients of piecewise-polynomial densities on flat geometric objects in arbitrary dimension and codimension. Applications range from standard nonuniform FFTs of scattered point data, through line and surface potentials in two and three dimensions, to volumetric transforms in three dimensions and higher. Input densities are s...

A parametric class of modified B-spline functions is studied for its applicability in digital image interpolation tasks. The modified functions are generated by weighting and shifting of classical B-splines of different degrees. The weighting coefficients are optimized to assures an effective attenuation of the imaging frequencies, caused by the interpolation. The most computationally expensive...

Large plane displays are often achieved by combining tiled imaging elements, which give the appearance of a single, seamless display. However, this is difficult to realize in practical use, since differences in color will make the tiles distinct even if the geometric calibration is perfect. The paper presents an approach of color calibration using cubic Bspline. According to the theory of cubic...

In this paper, numerical solutions of the nonlinear Benjamin-Bona-Mahony-Burgers (BBMB) equation are obtained by a method based on collocation of cubic B-splines. Applying the Von-Neumann stability analysis, the proposed method is shown to be unconditionally stable. The method is applied on some test examples, and the numerical results have been compared with the exact solutions. The L∞ and L2 ...