Category: Publications
Polarity In The Classroom: An Application Leveraging Peer Sentiment Towards Scalable Assessment
A Survey Of Perception-Based Visualization Studies By Task
Inferring Quality In Point Cloud-Based Three-Dimensional Objects Using Topographical Data Analysis
This patent describes a technique for assessing the quality of point-cloud datasets for 3D printing using Topological Data Anaylsis.
Continue readingFast And Scalable Complex Network Descriptor Using Pagerank And Persistent Homology
Parallel Mapper
In this paper, we study the parallel analysis of the construction of Mapper. We give a provably correct parallel algorithm to execute Mapper on a multiple processors. Our algorithm relies on a divide and conquer strategy for the codomain cover which gets pulled back to the domain cover.
Continue readingAn Efficient Data Retrieval Parallel Reeb Graph Algorithm
We propose a parallel augmented Reeb graph algorithm on triangulated meshes with and without a boundary. That is, in addition to our parallel algorithm for computing a Reeb graph, we describe a method for extracting the original manifold data from the Reeb graph structure.
Continue readingTopoinvis Ttk Hackathon: Experiences, Lessons Learned, And Perspectives
Modeling The Influence Of Visual Density On Cluster Perception In Scatterplots Using Topology
We present a multi-stage user study focusing on 4 factors—distribution size of clusters, number of points, size ofpoints, and opacity of points—that influence cluster identification in scatterplots. From these parameters, we have constructed 2 models, a distance-based model, and a density-based model, using the merge tree data structure from Topological Data Analysis. Our analysis demonstrates that these factors play an important role in the number of clusters perceived, and it verifies that the distance-based and density-based models can reasonably estimate the number of clusters a user observes.
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