In this paper (part three of the trilogy) we use low degree G 1 and G 2 continuous regular algebraic spline curves deened within parallelograms, to interpolate an ordered set of data points in the plane. We explicitly characterize curve families whose members have the required interpolating properties and possess a minimal number of innection points. The regular algebraic spline curves consider...

In this paper (part three of the trilogy) we use low degree G and G continuous regular algebraic spline curves de ned within parallelograms, to interpolate an ordered set of data points in the plane. We explicitly characterize curve families whose members have the required interpolating properties and possess a minimal number of in ection points. The regular algebraic spline curves considered h...

a r t i c l e i n f o a b s t r a c t We present a new surface reconstruction framework, which uses the implicit PHT-spline for shape representation and allows us to efficiently reconstruct surface models from very large sets of points. A PHT-spline is a piecewise tri-cubic polynomial over a 3D hierarchical T-mesh, the basis functions of which have good properties such as nonnegativity, compact...

We consider nonparametric estimation of coefficient functions in a varying coefficient model of the form Yij = X T i (tij)β(tij)+ i(tij) based on longitudinal observations {(Yij ,Xi(tij), tij), i = 1, . . . , n, j = 1, . . . , ni}, where tij and ni are the time of the jth measurement and the number of repeated measurements for the ith subject, and Yij and Xi(tij) = (Xi0(tij), . . . ,XiL(tij)) T...

Isogeometric analysis (IGA) aims to bridge the geometric divide between CAD systems and FEA software tools. It is founded on the idea of using the same basis functions to represent the CAD geometry and to approximate the physical quantities appearing in analysis. It promises to revolutionize the design and analysis processes for automobile, aerospace and marine industry by eliminating the need ...