The present paper studies adaptive refinement on multi-patch structures via the gluing approach. More precisely, we investigate the applicability of the gluing construction in isogeometric analysis on multi-patch domains with adaptively refined spline spaces. We will see that this is closely related to the concept of boundary compatibility of an adaptive spline construction. Given a spline basi...

This paper investigates the mathematical background of multiresolution analysis in the specific context where the signal is represented by irregularly sampled data at known locations. The study is related to the construction of nested piecewise polynomial multiresolution spaces represented by their corresponding orthonormal bases. Using simple spline basis orthonormalization procedures involves...

Abstract We present a new type of fuzzy controller constructed with the B spline model and its applications in modelling and control Un like the other normalised parameterised set functions for de ning fuzzy sets B spline basis functions do not necessarily span from membership value to but possess the property partition of unity These B spline basis functions are automatically determined after ...

O. Ismail, Senior Member, IEEE Abstract— This paper presents an efficient method for degree elevation of interval B-spline curves. The four fixed Kharitonov's polynomials (four fixed B-spline curves) associated with the original interval B-spline curve are obtained. The method is based on the matrix identity. The B-spline basis functions are represented as linear combinations of the B-splines o...