27 citations · 37 across the 10 of their papers we have counts for
5 papers · 1 filter
Propagate and Pair: A Single-Pass Approach to Critical Point Pairing in Reeb Graphs
Junyi Tu, Mustafa Hajij, Paul Rosen
With the popularization of Topological Data Analysis, the Reeb graph has found new applications as a summarization technique in the analysis and visualization of large and complex…
Topologically-Guided Color Image Enhancement
Junyi Tu, Paul Rosen
Enhancement is an important step in post-processing digital images for personal use, in medical imaging, and for object recognition. Most existing manual techniques rely on region…
You Can't Publish Replication Studies (and How to Anyways)
Ghulam Jilani Quadri, Paul Rosen
Reproducibility has been increasingly encouraged by communities of science in order to validate experimental conclusions, and replication studies represent a significant opportunit…
TopoLines: Topological Smoothing for Line Charts
Paul Rosen, Ashley Suh, Christopher Salgado +1
Line charts are commonly used to visualize a series of data values. When the data are noisy, smoothing is applied to make the signal more apparent. Conventional methods used to smo…
Mesh Learning Using Persistent Homology on the Laplacian Eigenfunctions
Yunhao Zhang, Haowen Liu, Paul Rosen +1
We use persistent homology along with the eigenfunctions of the Laplacian to study similarity amongst triangulated 2-manifolds. Our method relies on studying the lower-star filtrat…