Size Competitive Meshing without Large Angles ∗ Gary L. Miller Todd Phillips Donald Sheehy Computer Science Department, Carnegie Mellon University, Pittsburgh, PA 15213 {glmiller,tp517,dsheehy}@cs.cmu.edu February 2, 2

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CCCG 2008, Montr´eal, Qu´ebec, August 13–15, 2008 Achieving Spatial Adaptivity while Finding Approximate Nearest Neighbors Jonathan Derryberry Don Sheehy

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Beating the Spread: Time-Optimal Point Meshing∗ Gary L. Miller† Todd Phillips‡ Donald R. Sheehy§

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Size Complexity of Volume Meshes vs. Surface Meshes ∗ Benoˆıt Hudson Gary L. Miller Todd Phillips Don Sheehy Toyota Technological Institute, Chicago

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CCCG 2013, Waterloo, Ontario, August 8–10, 2013 Geometric Separators and the Parabolic Lift Donald R. Sheehy∗ Abstract

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A New Approach to Output-Sensitive Voronoi Diagrams Gary L. Miller and Donald R. Sheehy Abstract We describe a new algorithm for computing the Voronoi diagram

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CCCG 2012, Charlottetown, P.E.I., August 8–10, 2012 A Multicover Nerve for Geometric Inference Donald R. Sheehy Abstract

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Linear-Size Approximations to the Vietoris–Rips Filtration Donald R. Sheehy March 8, 2013 Abstract

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• Topology
• Mathematics
• Algebra
• Algebraic topology
• Homology theory
• Computational topology
• Topological data analysis
• VietorisRips complex
• Persistent homology
• Homology
• Abstract simplicial complex
• Net

July 13, 2015 Mr. David Mank Chairman Advisory Committee on Increasing Competitive Integrated Employment for Individuals with Disabilities Ms. Jennifer Sheehy Designated Federal Officer

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SHAPE DEFORMATION IN CONTINUOUS MAP GENERALIZATION JEFF DANCIGER, SATYAN L. DEVADOSS, JOHN MUGNO, DON SHEEHY, AND RACHEL WARD Abstract. Given a collection of regions on a map, we seek a method of continuously altering th

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