This course focuses on the topological simplification of voxelized data generated from MRI or CT scans. The learning outcomes include understanding how to denoise voxelized shapes by defining neighborhoods and cores, and removing errors in spatial and intensity domains. The course teaches skills in homological simplification methods and heuristic simplification techniques. The teaching method involves discussing algorithms, persistence candidates, experimental results, and future improvements. The intended audience for this course includes professionals in scientific fields like medicine or biology who work with graphical data and voxelized shapes.
Overview
Syllabus
Intro
Motivation
Homological Simplification Problem
Algorithm
Persistence Candidates
Experimental Results
Conclusion
Taught by
Applied Algebraic Topology Network