On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles
Discrete & Computational Geometry
Power diagrams: properties, algorithms and applications
SIAM Journal on Computing
Pixel-planes 5: a heterogeneous multiprocessor graphics system using processor-enhanced memories
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Spheres, molecules, and hidden surface removal
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Computing Smooth Molecular Surfaces
IEEE Computer Graphics and Applications
Weighted alpha shapes
Geometric clipping using boolean textures
VIS '93 Proceedings of the 4th conference on Visualization '93
Case study: an environment for understanding protein simulations using game graphics
Proceedings of the conference on Visualization '01
Interface surfaces for protein-protein complexes
RECOMB '04 Proceedings of the eighth annual international conference on Resaerch in computational molecular biology
Detection and Visualization of Anomalous Structures in Molecular Dynamics Simulation Data
VIS '04 Proceedings of the conference on Visualization '04
Interface surfaces for protein-protein complexes
Journal of the ACM (JACM)
Molecular surfaces on proteins via beta shapes
Computer-Aided Design
Interaction interfaces in proteins via the Voronoi diagram of atoms
Computer-Aided Design
Three-dimensional beta-shapes and beta-complexes via quasi-triangulation
Computer-Aided Design
QTF: Quasi-triangulation file format
Computer-Aided Design
Visualization for the Physical Sciences
Computer Graphics Forum
Computational Biology and Chemistry
Hi-index | 0.00 |
A parallel, analytic approach for defining and computing the inter- and intra-molecular interfaces in three dimensions is described. The "molecular interface surfaces" are derived from approximations to the power-diagrams over the participating molecular units. For a given molecular interface our approach can generate a family of interface surfaces parametrized by alpha and beta, where alpha is the radius of the solvent molecule (also known as the probe-radius) and beta is the interface radius that defines the size of the molecular interface. Molecular interface surfaces provide biochemists with a powerful tool to study surface complementarity and to efficiently characterize the interactions during a protein-substrate docking. The complexity of our algorithm for molecular environments is O(n k \log^2{k}), where n is the number of atoms in the participating molecular units and k is the average number of neighboring atoms -- a constant, given alpha and beta.