5 citations · 11 across the 12 of their papers we have counts for
13 papers
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…
Plane-Activated Mapped Microstructure
Jeremy Youngquist, Jörg Peters, Meera Sitharam
Querying and interacting with models of massive material micro-structure requires localized on-demand generation of the micro-structure since the full-scale storing and retrieving…
Efficient Atlasing and Search of Configuration Spaces of Point-Sets Constrained by Distance Intervals
Aysegul Ozkan, Rahul Prabhu, Troy Baker +3
For configurations of point-sets that are pairwise constrained by distance intervals, the EASAL software implements a suite of algorithms that characterize the structure and geomet…
Corner-Sharing Tetrahedra for Modeling Micro-Structure
Meera Sitharam, Jeremy Youngquist, Maxwell Nolan +1
State-of-the-art representations of volumetric multi-scale shape and structure can be classified into three broad categories: continuous, continuous-from-discrete, and discrete rep…
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…
Atlasing of Assembly Landscapes using Distance Geometry and Graph Rigidity
Rahul Prabhu, Meera Sitharam, Aysegul Ozkan +1
We describe a novel geometric methodology for analyzing free-energy and kinetics of assembly driven by short-range pair-potentials in an implicit solvent, and provides illustration…
On the Complexity of Smooth Spline Surfaces from Quad Meshes
Jorg Peters, Jianhua Fan
This paper derives strong relations that boundary curves of a smooth complex of patches have to obey when the patches are computed by local averaging. These relations restrict the…