78 citations · 191 across the 26 of their papers we have counts for
5 papers · 2 filters
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet +1
The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original pro…
Frame completions for optimally robust reconstruction
Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet
In information fusion, one is often confronted with the following problem: given a preexisting set of measurements about an unknown quantity, what new measurements should one colle…
Constructing finite frames of a given spectrum and set of lengths
Jameson Cahill, Matthew Fickus, Dustin G. Mixon +2
When constructing finite frames for a given application, the most important consideration is the spectrum of the frame operator. Indeed, the minimum and maximum eigenvalues of the…
Local histograms and image occlusion models
Melody L. Massar, Ramamurthy Bhagavatula, Matthew Fickus +1
The local histogram transform of an image is a data cube that consists of the histograms of the pixel values that lie within a fixed neighborhood of any given pixel location. Such…
Guaranteeing Convergence of Iterative Skewed Voting Algorithms for Image Segmentation
Doru C. Balcan, Gowri Srinivasa, Matthew Fickus +1
In this paper we provide rigorous proof for the convergence of an iterative voting-based image segmentation algorithm called Active Masks. Active Masks (AM) was proposed to solve t…