Quadratic Powell-Sabin splines and their rational extension, the socalled NURPS surfaces, are an interesting alternative for classical tensor-product NURBS in the context of isogeometric analysis, because they allow the use of local refinements while retaining a Bspline like representation and exact description of conic sections. In this paper we present a simple and effective strategy to conve...

Surface pasting is a hierarchical modeling technique capable of adding local details to tensor product Bspline surfaces without incurring significant computational costs. In this paper, we describe how the continuity conditions of this technique can be improved through the use of least squares fitting and the application of some general B-spline continuity properties. More importantly, we addre...

This paper deals with fast video segmentation using active contours. Region-based active contours is a powerful technique for video segmentation. However most of these methods are implemented using level-sets. Although level-set methods provide accurate segmentation, they suffer from large computational cost. The proposed method uses BSpline parametric method to highly improve the computation c...

The package bspline, downloadable from SSC, now has 3 modules. The first, bspline, generates a basis of Schoenberg B-splines. The second, frencurv, generates a basis of reference splines, whose parameters in the regression model are simply values of the spline at reference points on the Xaxis. The recent addition, flexcurv, is an easy–to–use version of frencurv, and generates reference splines ...

This work explores the potential of Bspline based Adaptive NeuroFuzzy Wavelet control to damp low frequency power system oscillations using Static Synchronous Series Compensator (SSSC). A comparison of direct and indirect adaptive control based on Hybrid Adaptive Bspline Wavelet Control (ABSWC) is presented by introducing the online identification block. ABSWC with Identification (ABSWCI) provi...

The matrix forms for curves and surfaces were largely promoted in CAD. These formulations are very compact to write, simple to program, and clear to understand. They manifest the desired basis as a matrix transformation of the common power basis. Furthermore, this implementation can be made extremely fast if appropriate matrix facilities are available in either hardware or software. Derivatives...

This paper presents an approach to constructive modelling of FRep solids defined by real-valued functions using Bspline volumes as primitives. A 4D uniform rational cubic Bspline volume is employed to define a 3D solid. While the first three coordinates are used to represent the spatial component of the volume to be sculpted, the fourth coordinate is used as a scalar, which corresponds to a fun...

A new method is presented to the B-spline surface presentation of an object defined by a set of parallel slices. For the application of Bspline inversion procedure, the methods about the data points generated are mainly introduced. The mesh of the data points is generated from interpolation curves of the vertex of the contour, which enable the interpolating surface to approximate the original o...

This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasiinterpolants to compute the control points from a coarse to fine hierarchy to generate a sequence of bicubic B-spline functions whose sum approaches to the desired interpolation function. Quasi-interpolants gives a procedure for deriving local spline approximation met...