Open AccessRATIONAL ROLLING BALL BLENDING OF NATURAL QUADRICS
Author(s) -
Kȩstutis Karčiauskas,
Rimvydas Krasauskas
Publication year - 2000
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2000.9637132
Subject(s) - ball (mathematics) , mathematics , quadric , rational surface , laguerre polynomials , geometry , mathematical analysis , pure mathematics , physics , plasma , quantum mechanics
We construct a blending surface of two natural quadrics using rational variable rolling ball approach, i.e. as a canal surface with a rational spine curve and a rational radius. All general positions of the given quadric surfaces are considered. The proposed construction is Laguerre invariant. In particular, the blending surface has rational offset of the same degree.