The Persistent Morse Complex Segmentation of a 3-Manifold

We describe an algorithm for segmenting three-dimensional medical imaging data modeled as a continuous function on a 3-manifold. It is related to watershed algorithms developed in image processing but is closer to its mathematical roots, which are Morse theory and homological algebra. It allows for the implicit treatment of an underlying mesh, thus combining the structural integrity of its mathematical foundations with the computational efficiency of image processing.

• Type: Journal
• Year: 2009
• Where: 3DPH
• Authors: Herbert Edelsbrunner, John Harer
• Keywords: 3DPH 2009, Healthcare, Homological Algebra, Image Processing, Three-dimensional Medical Imaging