Place：Room 1518, School of
In CAGD, a standard
representation of shapes is by parameterized surfaces or volumes based on tensor product B-spline
functions, which with a given regularity and degree. Recently, the problem of are the basis of the
space of piecewise polynomial functions on a grid representing functions on
shapes has also been considered in the geometry and the physical solution of a
simulation problem on this isogeometric analysis, using the same basis
functions to describe both geometry.
In this talk, we
will consider spline functions over topological these spline spaces, in particular
to analyse their dimension and to manifolds with arbitrary topology. We describe algebraic-geometric techniques
which can be used advantageously to get a better insight on construct basis. Examples including splines over triangular
meshes or T-meshes, in dimension 2 and 3 will be detailed.
Organizer: School of Mathematical Sciences