Infinite Control Points-A Method for Representing Surfaces of Revolution Using Boundary Data
IEEE Computer Graphics and Applications
Modifying the shape of rational B-splines. part 1: curves
Computer-Aided Design
Single-valued curves in polar coordinates
Computer-Aided Design
Mo¨bius reparametrizations of rational B-splines
Computer Aided Geometric Design
Guest Editor's Introduction CAGD's Top Ten: What to Watch
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
IEEE Computer Graphics and Applications
From Conics to NURBS: A Tutorial and Survey
IEEE Computer Graphics and Applications
Constraint-Based Curve Manipulation
IEEE Computer Graphics and Applications
Weight control for modelling with NURPS surfaces
Computer Aided Geometric Design
Cross-sectional design with curvature constraints
Computer-Aided Design
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This article presents a unified approach to NURBS shape modification, based on a perspective functional transformation of arbitrary origin. This procedure alters simultaneously the weight and location of a control point, and encompasses as particular cases the standard displacement of a control point or modification of a weight. Thus, it provides a homogeneous interface for NURBS shape modification, based on simple, easily understandable geometric concepts. This method works not only for curves, but also for NURBS surfaces or volumes. In the important case of rational quadratic Bezier curves (that is, conics), this shape handling is related to the classic concepts of focus and eccentricity. Finally, I develop applications for constrained NURBS manipulation.