5 citations · 11 across the 12 of their papers we have counts for
8 papers · 1 filter
Polyhedral Splines for Analysis
Bhaskar Mishra, Jorg Peters
Generalizing tensor-product splines to smooth functions whose control nets outline topological polyhedra, bi-cubic polyhedral splines form a piecewise polynomial, first-order diffe…
On stitched bi-cubic Bézier patches with arbitrary topology
Jörg Peters
Lower bounds on the generation of smooth bi-cubic surfaces imply that geometrically smooth () constructions need to satisfy conditions on the connectivity and layout. In parti…
Spline surfaces with T-junctions
Kestutis Karciauskas, Daniele Panozzo, Jörg Peters
This paper develops a new way to create smooth piecewise polynomial free-form spline surfaces from quad- meshes that include T-junctions, where surface strips start or terminate. A…
Explicit Least-degree Boundary Filters for Discontinuous Galerkin
Dang-Manh Nguyen, Jörg Peters
Convolving the output of Discontinuous Galerkin (DG) computations using spline filters can improve both smoothness and accuracy of the output. At domain boundaries, these filters h…
Computing SIAC spline coefficients
Jörg Peters
The Discontinuous Galerkin (DG) method applied to hyperbolic differential equations outputs weakly-linked polynomial pieces. Post-processing these pieces by Smoothness-Increasing A…
Matched -constructions yield -continuous iso-geometric elements
Jörg Peters
The note shows how (geometrically continuous surface) constructions yield iso-geometric elements also at irregular quad mesh points where three or more than four elemen…
Refinability of splines derived from regular tessellations
Jörg Peters
Splines can be constructed by convolving the indicator function of a cell whose shifts tessellate . This paper presents simple, non-algebraic criteria that imply that, for re…
Refinability of splines from lattice Voronoi cells
Jorg Peters
Splines can be constructed by convolving the indicator function of the Voronoi cell of a lattice. This paper presents simple criteria that imply that only a small subset of such sp…