The κ-curve is a recently published interpolating spline which consists of quadratic Bézier
segments passing through input points at the loci of local curvature extrema. We extend this …

Four new trigonometric Bernstein-like basis functions with two exponential shape
parameters are constructed, based on which a class of trigonometric Bézier-like curves …

A class of cubic trigonometric nonuniform spline basis functions with a local shape
parameter is constructed. Their totally positive property is proved. The associated spline …

We present a method for generating a one-parameter family of curves that produce a smooth
transition between a Bézier curve and its control polygon. These curves have rational Bézier …

Based on Bernstein polynomials, a system of functions with a free parameter is proposed in
the space of polynomials of degree at most n. The system inherits several properties of …

This work describes a new class of rational quartic splines with local shape parameters as
well as their local tensor product extensions. The important local shape preserving …

Developable surface plays an important role in geometric design, architectural design, and
manufacturing of material. Bézier curve and surface are the main tools in the modeling of …

Four new trigonometric Bernstein‐like bases with two denominator shape parameters (DTB‐
like basis) are constructed, based on which a kind of trigonometric Bézier‐like curve with two …

By using the blossom approach, we construct four new cubic rational Bernsteinlike basis
functions with two shape parameters, which form a normalized B-basis and include the cubic …

Using the Blossom method in the quasi extended Chebyshev space, we first construct a
class of generalized cubic Bernstein functions in the generalized cubic polynomial space {1 …