2022/03/11 by Mina GhadimiAtigh, GhadimiAtigh, Mina, Julian Schoep +7 · 7 citations
Computer Science · #Topological and Geometric Data Analysis #Digital Image Processing Techniques #Medical Image Segmentation Techniques
paper · pdf · doi:10.48550/arxiv.2203.05898
For image segmentation, the current standard is to perform pixel-level optimization and inference in Euclidean output embedding spaces through linear hyperplanes. In this work, we show that hyperbolic manifolds provide a valuable alternative for image segmentation and propose a tractable formulation of hierarchical pixel-level classification in hyperbolic space. Hyperbolic Image Segmentation opens up new possibilities and practical benefits for segmentation, such as uncertainty estimation and boundary information for free, zero-label generalization, and increased performance in low-dimensional output embeddings.