Preprint: HB-splines, a Blend of Hermite splines and B-splines

[grisoni@labri.u-bordeaux.fr ( Laurent Grisoni)]

#9 Preprint: HB-splines, a Blend of Hermite splines and B-splines

Dear waveleters,

The preprint:

"HB-splines: a Blend of Hermite splines and B-splines"

is available at
http://dept-info.labri.u-bordeaux.fr/~grisoni/

and has been accepted for publication in Computer Graphics Forum.
Here is the abtract of this paper:

This paper proposes to study a spline model, called HB-splines, that
is in fact a B-spline representation of Hermite splines, combined with
some restriction on the differential values at segment
boundaries. Although this model does not appear able to offer
something new to the computer graphics community, we think that
HB-splines deserve to be considered for themselves because they embed
many interesting features. First, they include all the classical
properties required in a geometric modeling environment (convex hull,
local control, arbitrary orders of parametric or geometric
continuity). Second, they have a nice aptitude for direct manipulation
(i.e. manipulation without using control points). For this purpose,
we propose a new graphic widget, called control sails, that offers the
user an intuitive way to specify local properties (position, tangent,
curvature) of a curve or a surface. Finally, they provide an elegant
formulation of a biorthogonal wavelet family, that permits
multiresolution manipulations of the resulting curves or surfaces, in
a very efficient way.

keywords: geometric modeling, splines, direct manipulation,
multiresolution.

Authors:
Laurent Grisoni, Carole Blanc, Christophe Schlick
LaBRI, Universite Bordeaux I,
351 cours de la Liberation,
33405 Talence,
FRANCE.

Any comments, questions, or remarks are of course welcome.