Energy Duality Methods for Piecewise Bezier Curve Construction
Abstract
Piecewise Bezier Curves are constructed using a minimization principle. Ck and GCk continuity is imposed by linear constraints. The corresponding quadratic programming with linear constraints problem is introduced and solved by duality methods. Bordering matrices methods are implemented to deal with local refinement (subdivision). The result is a versatile tool for defining/editing contours made of piecewise Bezier curves.
BibTeX
@article {10.1111:1467-8659.1520143,
journal = {Computer Graphics Forum},
title = {{Energy Duality Methods for Piecewise Bezier Curve Construction}},
author = {Bercovier, M. and Volpin, O.},
year = {1996},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1520143}
}
journal = {Computer Graphics Forum},
title = {{Energy Duality Methods for Piecewise Bezier Curve Construction}},
author = {Bercovier, M. and Volpin, O.},
year = {1996},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1520143}
}