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YouTube

The Medial Axis - Image Analysis, Homological Simplification, Gerrymandering

Applied Algebraic Topology Network via YouTube

Overview

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Explore the diverse applications of the medial axis in a comprehensive lecture covering image segmentation, shape simplification, and gerrymandering detection. Delve into three distinct research areas: learn about a novel method for segmenting objects in natural images by extracting and combining medial axis fragments; discover a geometrically satisfying approach to the homological simplification problem for shapes using the medial axis; and examine a new measure for identifying gerrymandered congressional districts based on shape depth defined on the medial axis. Gain insights into collaborative research efforts and cutting-edge applications of algebraic topology in image analysis, shape processing, and political geography.

Syllabus

Ellen Gasparovic 8/12/20 The medial axis: Image analysis, homological simplification, gerrymandering

Taught by

Applied Algebraic Topology Network

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