B-Splines

Synonyms

B-Spline 3D curves; B-Spline computer-aided design; B-Spline polygons; B-Spline surfaces

Definition

B-Splines are one of the most promising curves in computer graphics. They are blessed with some superior geometric properties which make them an ideal candidate for several applications in computer-aided design industry. In this entry, some basic properties of B-Spline curves are presented. Two significant B-Spline properties, viz., convex hull property and repeated points’ effects are discussed. The B-Splines’ computation in computational devices is also illustrated. An industry application based on image processing where B-Spline curve reconstructs the 3D surfaces for CT image datasets of inner organs further highlights the strength of these curves.

Introduction

Before the evolution of computer graphics, the aircraft wings and automobile parts were designed through splines. A spline constitutes long wood or plastic pieces of flexible nature where rectangular section is put in...