Multiscale decomposition techniques based on Whitney's extension theory. This is the foundational data architecture for efficient high-dimensional interpolation algorithms. On the right: A Whitney decomposition with respect to data sampled near a sine curve. 

An algorithm for point cloud registration that is robust against contamination and outliers. Based on the arXiv preprint Metric properties of partial and robust Gromov-Wasserstein distances, arXiv 2411.02198

An applet for the interpolation and extrapolation of time-series data. Based on the journal article Univariate Range-Restricted C^2 Interpolation Algorithms, Journal of Computational and Applied Mathematics, 425:115040, 2023.

An evolving expository based on the Data350 course that I am teaching. The thumbnail is a shiny app that explores the Gapminder dataset.