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no code implementations • 27 Sep 2023 • Yikun Bai, Huy Tran, Steven B. Damelin, Soheil Kolouri

In this paper, we approach the point-cloud registration problem through the lens of optimal transport theory and first propose a comprehensive set of non-rigid registration methods based on the optimal partial transportation problem.

no code implementations • 22 May 2023 • Leon A. Luxemburg, Steven B. Damelin

In this article we construct a maximal set of kernels for a multi-parameter linear scale-space that allow us to construct trees for classification and recognition of one-dimensional continuous signals similar the Gaussian linear scale-space approach.

no code implementations • 24 Mar 2021 • Steven B. Damelin, David L. Ragozin, Michael Werman

We study a realization of motion and similarity group equivalence classes of $n\geq 1$ labeled points in $\mathbb R^k,\, k\geq 1$ as a metric space with a computable metric.

no code implementations • 20 Mar 2021 • Gurpreet S. Kalsi, Steven B. Damelin

For $s$ $>$ 0, we consider an algorithm that computes all $s$-well separated pairs in certain point sets in $\mathbb{R}^{n}$, $n$ $>1$.

1 code implementation • 17 Mar 2021 • Steven B. Damelin

This paper provides fascinating connections between several mathematical problems which lie on the intersection of several mathematics subjects, namely algebraic geometry, approximation theory, complex-harmonic analysis and high dimensional data science.

no code implementations • 5 Dec 2018 • Steven B. Damelin, David L. Ragozin, Michael Werman

We study Min-Max affine approximants of a continuous convex or concave function $f:\Delta\subset \mathbb R^k\xrightarrow{} \mathbb R$ where $\Delta$ is a convex compact subset of $\mathbb R^k$.

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