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Discrete Mathematics and Combinatorics Commons

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Full-Text Articles in Discrete Mathematics and Combinatorics

Stroke Clustering And Fitting In Vector Art, Khandokar Shakib Jan 2022

Stroke Clustering And Fitting In Vector Art, Khandokar Shakib

Senior Independent Study Theses

Vectorization of art involves turning free-hand drawings into vector graphics that can be further scaled and manipulated. In this paper, we explore the concept of vectorization of line drawings and study multiple approaches that attempt to achieve this in the most accurate way possible. We utilize a software called StrokeStrip to discuss the different mathematics behind the parameterization and fitting involved in the drawings.


Dot Product Bounds In Galois Rings, David Lee Crosby Jan 2022

Dot Product Bounds In Galois Rings, David Lee Crosby

MSU Graduate Theses

We consider the Erdős Distance Conjecture in the context of dot products in Galois rings and prove results for single dot products and pairs of dot products.