This paper briefly reviews a recent algorithm of the authors for reconstructing a network of tensor product B-spline surface from a set of unorganized 3D points.

Working in reverse, a sequence of control points, knot values, and order of the B-spline define a parametric curve. This representation of a curve by control points has several useful properties:

The construction of quadratic B-splines from the linear splines via the recurrence (1.32) forces the functions Bj,2 to have a continuous derivative, and also to be supported over three intervals per …

Evaluation and subdivision algorithm: A B-spline curve can be evaluated at a specific parameter value using the de Boor algorithm, which is a generalization of the de Casteljau algorithm introduced in …

on method (KPI) based on B-spline, aimed at dealing with sparse distributed data. This method includes two stages: a data set generation algorithm base.

Oct 18, 2021 · In this paper, two new families of non-stationary subdivision schemes are introduced. The schemes are constructed from uniform generalized B-splines with multiple knots of orders 3 and 4, …

Mar 20, 2017 · It is also shown that, the proposed method can be applied for fitting any types of curves ranging from smooth ones to discontinuous ones. In addition, the method does not require excessive …