Multiresolution persistent homology for excessively large biomolecular datasets

Persistent topology for cryo-EM data analysis

(2015) Kelin Xia et al.   International Journal for Numerical Methods in Biomedical Engineering

Communication: Capturing protein multiscale thermal fluctuations

(2015) Kristopher Opron et al.   JOURNAL OF CHEMICAL PHYSICS

Multiresolution persistent homology for excessively large biomolecular datasets

(2015) Kelin Xia et al.   JOURNAL OF CHEMICAL PHYSICS

Multidimensional persistence in biomolecular data

(2015) Kelin Xia et al.   JOURNAL OF COMPUTATIONAL CHEMISTRY

Persistent homology analysis of protein structure, flexibility, and folding

(2014) Kelin Xia et al.   International Journal for Numerical Methods in Biomedical Engineering

A topological measurement of protein compressibility

(2014) Marcio Gameiro et al.   JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS

Fast and anisotropic flexibility-rigidity index for protein flexibility and fluctuation analysis

(2014) Kristopher Opron et al.   JOURNAL OF CHEMICAL PHYSICS

Persistent homology for the quantitative prediction of fullerene stability

(2014) Kelin Xia et al.   JOURNAL OF COMPUTATIONAL CHEMISTRY

Morse Theory for Filtrations and Efficient Computation of Persistent Homology

(2013) Konstantin Mischaikow et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Multiscale multiphysics and multidomain models—Flexibility and rigidity

(2013) Kelin Xia et al.   JOURNAL OF CHEMICAL PHYSICS

Reeb Graphs: Approximation and Persistence

(2012) Tamal K. Dey et al.   DISCRETE & COMPUTATIONAL GEOMETRY

A fast algorithm for constructing topological structure in large data

(2012) Xu Liu et al.   Homology Homotopy and Applications

Simulation-Based Joint Estimation of Body Deformation and Elasticity Parameters for Medical Image Analysis

(2012) Huai-Ping Lee et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Multivariate Data Analysis Using Persistence-Based Filtering and Topological Signatures

(2012) B. Rieck et al.   IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval

(2012) Patrizio Frosini et al.   PATTERN RECOGNITION LETTERS

A Mayer–Vietoris Formula for Persistent Homology with an Application to Shape Recognition in the Presence of Occlusions

(2011) Barbara Di Fabio et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Topology-Based Kernels With Application to Inference Problems in Alzheimer's Disease

(2011) Deepti Pachauri et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Branching and Circular Features in High Dimensional Data

(2011) Bei Wang et al.   IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

A Topological View of Unsupervised Learning from Noisy Data

(2011) P. Niyogi et al.   SIAM JOURNAL ON COMPUTING

Computing Robustness and Persistence for Images

(2010) P Bendich et al.   IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Topological methods for exploring low-density states in biomolecular folding pathways

(2009) Yuan Yao et al.   JOURNAL OF CHEMICAL PHYSICS

Persistent homology of complex networks

(2009) Danijela Horak et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Computing geometry-aware handle and tunnel loops in 3D models

(2008) Tamal K. Dey et al.   ACM TRANSACTIONS ON GRAPHICS

Feature-preserving adaptive mesh generation for molecular shape modeling and simulation

(2008) Zeyun Yu et al.   JOURNAL OF MOLECULAR GRAPHICS & MODELLING

Topological analysis of population activity in visual cortex

(2008) G. Singh et al.   JOURNAL OF VISION