This paper presents a new method for segmentation of molecular surfaces. Topological analysis of a scalar function defined on the surface and its associated gradient field reveals the relationship between the features of interest and critical points of the scalar function. The segmentation is obtained by associating segments with local minima/maxima. Controlled simplification of the function merges segments resulting in a hierarchical segmentation of the molecular surface. This segmentation is used to identify rigid components of protein molecules and to study the role of cavities and protrusions in protein-protein interactions. Key words: Segmentation, Morse theory, Morse-Smale complex, multiresolution data structure, visualization, structural biology, molecular graphics. * Corresponding author Email addresses: vijayn@ucdavis.edu (Vijay Natarajan), yusu@cse.ohio-state.edu (Yusu Wang), ptbremer@acm.org (Peer-Timo Bremer), pascucci1@llnl.gov (Valerio Pascucci), hamann@cs.ucdavis.edu (Bernd Hamann).
Natarajan et. al. REF decompose the protein surfaces into segmented features based on the Morse theory, identify rigid components of protein molecules and study the role of cavities and protrusions in protein-protein interactions.
Segmenting molecular surfaces
Computer Aided Geometric Design
Mathematics Computer Science