IMPORTANT: Please assist us in keeping
meaningful statistics. Download any of the files you may wish, but do not
forward these files. Instead, link us in your page or forward our URL. The
counters will take care of the rest. Thanks for your help.
Each paper is available in six formats: .dvi
(LaTex); .ps (Applewrite Postscript); .dvi.Z (LaTex, UNIX compressed); .ps.Z (Applewrite Postscript, UNIX compressed); .ps.gz (Applewrite Postscript, GZIP compressed); .dvi.gz (LaTex, GZIP compressed). Click below on the
paper title to go to the format selection page.
In order to uncompress the files you can use the "uncompress unix command"
or the Winzip for Windows program.
In case of problems downloading or printing the files, consult first your
local Web guru. If he thinks the problem is in our side, please notify by
e-mail to webadmin@euler.ciens.ucv.ve mentioning the author, the file and the
specific trouble.
Available Papers
1. G3 Composite Cubic Bezier Curves: We present an algorithm for creating planar G2-splines curves using rational Bezier cubic segments. The splines interpolate a sequence of points, tangents and curvatures. In addition each segment has two more geometric shape handles. These are obtained from an analysis of singular point curve. The individual segments are convex, but zero curvature can be assigned at junction point, hence inflection points can be placed where desired but cannot occur otherwise. (With Richard R. Patterson and Marco Paluszny)
2. The Singular Point of an Algebraic Cubic: Given a segment of a singular algebraic cubic, with prescribed tangent contact at two points, formulas are given for the coordinates of its singular point. The coordinates of the singular point are expressed as rational functions of degree at most five in the coefficients of the cubic. These lead to analytic expressions for control points and weights in terms of the implicit description of the cubic.(With Marco Paluszny)
Mail to: francisco.tovar@ciens.ucv.ve,
ftovar@jade.ciens.ucv.ve
Mathematics
Department Homepage