Sub-Riemannian Geometry in Image Processing

In this talk we discuss how considering of sub-Riemannian (SR) structures on 2D and 3D images (or more precisely on their lift to the extended space of positions and directions) helps to detect some features, e.g. salient curves. We start from explanation of basic concepts of  SR geometry and then show how they provide brain inspired methods in computer vision. We consider several particular examples: tracking of blood vessels in planar and spherical images of human retina, tracking of neural fibers in MRI images of human brain.

Автор: Alexey Mashtakov
Дата: 21st February, 2019

Conference: Subriemannian Geometry and Beyond, II
18th-22nd February 2019, Jyväskylä, Finland

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