65 citations · 186 across the 24 of their papers we have counts for
6 papers · 1 filter
A Fast and Adaptive Algorithm to Compute the X-ray Transform
Chong Chen, Runqian Wang, Chandrajit Bajaj +1
We propose a new algorithm to compute the X-ray transform of an image represented by unit (pixel/voxel) basis functions. The fundamental issue is equivalently calculating the inter…
SketchyCoreSVD: SketchySVD from Random Subsampling of the Data Matrix
Chandrajit Bajaj, Yi Wang, Tianming Wang
We present a method called SketchyCoreSVD to compute the near-optimal rank r SVD of a data matrix by building random sketches only from its subsampled columns and rows. We provide…
Construction of scalar and vector finite element families on polygonal and polyhedral meshes
Andrew Gillette, Alexander Rand, Chandrajit Bajaj
We combine theoretical results from polytope domain meshing, generalized barycentric coordinates, and finite element exterior calculus to construct scalar- and vector-valued basis…
Interpolation Error Estimates for Mean Value Coordinates over Convex Polygons
Alexander Rand, Andrew Gillette, Chandrajit Bajaj
In a similar fashion to estimates shown for Harmonic, Wachspress, and Sibson coordinates in [Gillette et al., AiCM, doi:10.1007/s10444-011-9218-z], we prove interpolation error est…
Quadratic Serendipity Finite Elements on Polygons Using Generalized Barycentric Coordinates
Alexander Rand, Andrew Gillette, Chandrajit Bajaj
We introduce a finite element construction for use on the class of convex, planar polygons and show it obtains a quadratic error convergence estimate. On a convex n-gon satisfying…
Error Estimates for Generalized Barycentric Interpolation
Andrew Gillette, Alexander Rand, Chandrajit Bajaj
We prove the optimal convergence estimate for first order interpolants used in finite element methods based on three major approaches for generalizing barycentric interpolation fun…