Assistant Professor of Mathematics (courtesy appointment in EECS)
University of Missouri - Columbia
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Email: tduff@missouri.edu
Office: Math Sciences 218
My current research is primarily focused on the application of algebraic and geometric methods to solving 3D reconstruction problems in computer vision. These methods are of increasing importance in applications ranging from visual localization to space exploration. For an overview of "algebraic vision", I highly recommend this recent survey.
Some of my specific interests include characterizing complete sets of constraints for various reconstruction tasks ("multiview ideals", etc.), efficiently solving algebraic equations arising in such tasks ("minimal problems"), reconstruction from geometric features (eg. points, lines, incidences, conics...), and different types of geometric imaging models.
More broadly, I am interested in a wide variety of problems at the interface of pure and applied mathematics, as best represented by the SIAM Activity Group on Algebraic Geometry.
Winter 2024, MATH 318 Advanced Linear Algebra: Tools and Applications
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Fall 2023, MATH 208 Matrix Algebra with Applications
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Winter 2023, MATH 582 Introduction to Algebraic Computation
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Fall 2022, University of Washington, MATH 402 Introduction to Modern Algebra
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