The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
To join online, at https://cutt.ly/aromath or with a web browser at https://cutt.ly/aromath-web
use meeting ID: 828 5859 7791, passcode: 123
Bert Jüttler (Institute of Applied Geometry, Johanness Kepler University, Linz, Austria) -- Minimally supported B-systems on hierarchical T-meshes are linearly independent
10h30-11h30
1 July 2025
The construction of spline bases over hierarchical T-meshes is
fundamentally important for numerous applications, ranging from
geometric modeling to isogeometric analysis. The case of C^s smooth
splines of degree p = 2s + 1 is particularly attractive, as the
dimension of the resulting spaces is well understood and these
function spaces have proven useful in various contexts. We explore the
generation of these functions as linear combinations of elements from
B-systems, which are collections of tensor-product B-splines
associated with cross vertices. Specifically, we examine the linear
independence of the resulting system of generating functions, thereby
generalizing earlier results by Kang, Xu, Chen, and Deng (Graphical
Models, 2015) to a more general refinement strategy that produces a
broader class of T-meshes. This is joint work with Maodong Pan.
