2009 Sixth International Symposium on Voronoi Diagrams (2009)
June 23, 2009 to June 26, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISVD.2009.25
We provide a unified description of (weighted) alpha shapes, beta shapes and the corresponding simplicialcomplexes. We discuss their applicability to various protein-related problems. We also discuss filtrations of alpha shapes and touch upon related persistence issues.We claim that the full potential of alpha-shapes and related geometrical constructs in protein-related problems yet remains to be realized and verified. We suggest parallel algorithms for (weighted) alpha shapes, and we argue that future use of filtrations and kinetic variants for larger proteins will need such implementation.
beta shape, voronoi diagram, power diagram, delaunay complex, alpha complex, beta complex, filtration, protein
P. Winter, P. Sterner and H. Sterner, "Alpha Shapes and Proteins," 2009 Sixth International Symposium on Voronoi Diagrams(ISVD), Copenhagen, Denmark, 2009, pp. 217-224.