Zobrazeno 1 - 10
of 41
pro vyhledávání: '"John A. Roulier"'
Publikováno v:
Topology and its Applications. 259:311-322
Knots are prevalent mathematical models in molecular algorithms, requiring isotopically equivalent piecewise linear (PL) approximations for visualization and analyses. Local topological properties of Bezier curves are shown to support efficient isoto
Publikováno v:
Computer Aided Geometric Design. 31:642-655
For an arbitrary degree Bezier curve B , we first establish sufficient conditions for its control polygon to become homeomorphic to B via subdivision. This is extended to show a subdivided control polygon that is ambient isotopic to B . We provide cl
Publikováno v:
Computer Aided Geometric Design. 28:212-214
An example is presented of a cubic Bezier curve that is the unknot (a knot with no crossings), but whose control polygon is knotted. It is also shown that there is no upper bound on the number of crossings in the control polygon for an unknotted Bezi
Autor:
John A. Roulier, Bruce Piper
Publikováno v:
Computer Aided Geometric Design. 13:23-43
Theorems and corresponding algorithms are presented which produce a rational Bezier curve of a specified arc length subject to certain constraints. Extraneous inflection points are avoided. The problem is reduced to expressing the arc length as a fun
Autor:
Bruce Piper, John A. Roulier
Publikováno v:
Computer Aided Geometric Design. 13:3-22
Theorems and corresponding algorithms are presented which produce a parametric curve of a specified arc length subject to certain constraints. Extraneous inflection points are avoided. The problem is reduced to expressing the arc length as a function
Autor:
John A. Roulier
Publikováno v:
Computer Aided Geometric Design. 10:25-56
Theorems and algorithms are presented for the generation of a Bezier Curve of a prescribed arc length subject to interpolation conditions for given endpoints and unit tangent vectors. The curve produced will also be convex if the end conditions are c
Autor:
Tom Rando, John A. Roulier
Publikováno v:
Computer-Aided Design. 23:492-497
The paper presents the theoretical foundation for the development of systems for the automatic fairing of parametric surfaces. Three fairness metrics are derived; each metric is a geometric property of the designed surface, which can be expressed exp
Autor:
John A. Roulier, Tom Rando
Publikováno v:
Curves and Surfaces
Theory and algorithms are presented which determine if a Bezier curve or Bezier surface is locally convex. Furthermore, an algorithm for producing control points which guarantee local convexity of a Bezier curve or surface which satisfies given const
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10dc7853d0b70ae9eacedf3f60db788d
https://doi.org/10.1016/b978-0-12-438660-0.50063-7
https://doi.org/10.1016/b978-0-12-438660-0.50063-7
Autor:
John A. Roulier, David F. McAllister
Publikováno v:
ACM Transactions on Mathematical Software. 7:331-347
Autor:
Eli Passow, John A. Roulier
Publikováno v:
SIAM Journal on Numerical Analysis. 14:904-909
For a set of monotone (and/or convex) data, we consider the possibility of finding a spline interpolant, of pre-determined smoothness, which is monotone (and/or convex). The investigation is carried out by constructing an auxiliary set of points and