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Control vectors for splines


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Authors

Kosinka, J 
Sabin, MA 
Dodgson, NA 

Abstract

Traditionally, modelling using spline curves and surfaces is facilitated by control points. We propose to enhance the modelling process by the use of control vectors. This improves upon existing spline representations by providing such facilities as modelling with local (semi-sharp) creases, vanishing and diagonal features, and hierarchical editing. While our prime interest is in surfaces, most of the ideas are more simply described in the curve context. We demonstrate the advantages provided by control vectors on several curve and surface examples and explore avenues for future research on control vectors in the contexts of geometric modelling and finite element analysis based on splines, and B-splines and subdivision in particular.

Description

Keywords

Spline, Curve, Surface, Subdivision, Control vector, Modelling

Journal Title

CAD Computer Aided Design

Conference Name

Journal ISSN

0010-4485
1879-2685

Volume Title

58

Publisher

Elsevier BV
Sponsorship
Engineering and Physical Sciences Research Council (EP/H030115/1)