2,261 research outputs found
Curve network interpolation by quadratic B-spline surfaces
In this paper we investigate the problem of interpolating a B-spline curve
network, in order to create a surface satisfying such a constraint and defined
by blending functions spanning the space of bivariate quadratic splines
on criss-cross triangulations. We prove the existence and uniqueness of the
surface, providing a constructive algorithm for its generation. We also present
numerical and graphical results and comparisons with other methods.Comment: With respect to the previous version, this version of the paper is
improved. The results have been reorganized and it is more general since it
deals with non uniform knot partitions. Accepted for publication in Computer
Aided Geometric Design, October 201
A New Look into the Partial Wave Decomposition of Three-Nucleon Forces
We demonstrate that the partial wave decomposition of three-nucleon forces
used up to now in momentum space has to be necessarily unstable at high partial
waves. This does not affect the applications performed up to now, which were
restricted to low partial waves. We present a new way to perform the partial
wave decomposition which is free of that defect. This is exemplified for the
most often used -exchange Tuscon-Melbourne three-nucleon force. For the
lower partial waves the results of the old method are reproduced.Comment: 38 pages in REVTeX, 4 figures in PiCTe
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