Title :
A simple technique for NURBS shape modification
Author :
Sánchez-Reyes, Javier
Author_Institution :
Dept. of Mech. Eng., Polytech. Univ., Barcelona, Spain
Abstract :
Non-uniform rational B-splines (NURBS) have become a de-facto industry standard primarily because they offer a unified mathematical form for representing both freeform shapes and analytical curves or surfaces. Despite these advantages, designers need software that lets them work with NURBS in a natural way. The paper presents a unified approach to NURBS shape modification that builds on a perspective functional transformation of arbitrary origin and provides a homogeneous interface based on simple, easily understood geometric concepts
Keywords :
computational geometry; computer graphics; curve fitting; splines (mathematics); surface fitting; NURBS shape modification; analytical curves; de-facto industry standard; freeform shapes; geometric concepts; mathematical form; nonuniform rational B-splines; surfaces; Focusing; H infinity control; Polynomials; Shape control; Spline; Surface reconstruction; Surface topography;
Journal_Title :
Computer Graphics and Applications, IEEE
