NURBS are widely used in the design of free curves and surfaces and have been the
industrial standard for product design in CAD/CAM. Ship hull surfaces are complex doubly …

In this paper, we introduce an algorithm for generating collision-free two-lane paths for
unmanned vehicles used at mining sites by using quartic (degree 4) B-spline curves. Given …

B-spline surfaces, extracted from scanned sensor data, are usually required to represent
objects in inspection, surveying technology, metrology and reverse engineering tasks. In …

Methods from the field of computer graphics are the foundation for the representation of
geological structures in the form of geological models. However, as many of these methods …

This paper presents an explicit method for the G 3 merging problem of two Bézier curves.
The main idea is to express the L 2 distance as a quadratic function of some parameters …

The construction of the stiffness matrix associated with an Active B-Spline/NURBS surface is
one of the most important but time consuming operations performed in CAD/CAM/CAE. This …

This paper presents a novel approximating method to construct high-precision single-patch
representation of B-spline surface from a multi-patch representation for isogeometric …

This paper presents a novel scheme, called C r, s multiwise merging, for merging multiple
segments of Bézier curves using a single Bézier curve. It is considered as an extension of …

This paper presents a simple and general technique to transform non-uniform B-Splines to
the Bézier or to power-basis form. This conversion is very practical in representing spline …

This thesis presents a computational framework for representing, manipulating and merging
rigid and deformable freeform objects in virtual reality (VR) environment. The core …