-
"Erratum: "Topology of homology manifolds""
2024 ▪
Annals of Mathematics
W. Mio;
J. Bryant;
S. Weinberger;
Steve Ferry;
-
"On metrics for analysis of functional data on geometric domains"
2024 ▪
Foundations of Data Science
W. Mio;
Osman Berat Okutan;
Soheil Anbouhi;
-
"Correspondence modules and persistence sheaves: a unifying perspective on one-parameter persistent homology"
2022 ▪
Japan Journal of Industrial and Applied Mathematics
-
"Detecting Carbon Nanotube Orientation with Topological Analysis of Scanning Electron Micrographs"
2022 ▪
Nanomaterials
-
"Decorated merge trees for persistent topology"
2022 ▪
Journal of Applied and Computational Topology
W. Mio;
Tom Needham;
Justin Curry;
Haibin Hang;
Osman Berat Okutan;
-
"Geometric and topological approaches to shape variation in Ginkgo leaves"
2021 ▪
Royal Society Open Science
-
"Towards Quantifying Intrinsic Generalization of Deep ReLU Networks"
2020 ▪
-
"A topological study of functional data and Fréchet functions of metric measure spaces"
2019 ▪
Journal of Applied and Computational Topology
W. Mio;
Haibin Hang;
Facundo Mémoli;
-
"Learning shape metrics with Monte Carlo optimization"
2018 ▪
Journal of Computational and Applied Mathematics
-
"The Persistent Homology Mathematical Framework Provides Enhanced Genotype-to-Phenotype Associations for Plant Morphology"
2018 ▪
PLANT PHYSIOLOGY
W. Mio;
Mao Li;
Christopher N. Topp;
Daniel H. Chitwood;
Margaret H. Frank;
Viktoriya Coneva;
-
"The shape of data and probability measures"
2018 ▪
Applied and Computational Harmonic Analysis
W. Mio;
Diego H. Díaz Martínez;
Facundo Mémoli;
-
"Probing the geometry of data with diffusion Fréchet functions"
2018 ▪
Applied and Computational Harmonic Analysis
W. Mio;
Diego H. Díaz Martínez;
Christine H. Lee;
Peter T. Kim;
-
"Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences"
2017 ▪
Frontiers in Plant Science
W. Mio;
Alexander Bucksch;
Acheampong Atta-Boateng;
Akomian F. Azihou;
Dorjsuren Battogtokh;
Aly Baumgartner;
Brad M. Binder;
Siobhan A. Braybrook;
Cynthia Chang;
Viktoirya Coneva;
Thomas J. DeWitt;
Alexander G. Fletcher;
Malia A. Gehan;
Diego Hernan Diaz-Martinez;
Lilan Hong;
Anjali S. Iyer-Pascuzzi;
Laura L. Klein;
Samuel Leiboff;
Mao Li;
Jonathan P. Lynch;
Alexis Maizel;
Julin N. Maloof;
R. J. Cody Markelz;
Ciera C. Martinez;
Laura A. Miller;
Wojtek Palubicki;
Hendrik Poorter;
Christophe Pradal;
Charles A. Price;
Eetu Puttonen;
John B. Reese;
Rubén Rellán-Álvarez;
Edgar P. Spalding;
Erin E. Sparks;
Christopher N. Topp;
Joseph H. Williams;
Daniel H. Chitwood;
-
"A morphometric analysis of vegetation patterns in dryland ecosystems"
2017 ▪
Royal Society Open Science
W. Mio;
Stefan C. Dekker;
Mao Li;
Luke Mander;
Surangi W. Punyasena;
Timothy M. Lenton;
-
"Model images of patterned vegetation"
2017 ▪
W. Mio;
Luke Mander;
Mao Li;
Dekker Stefan;
Punyasena Surangi;
Lenton Timothy;
-
"Rapid automated landmarking for morphometric analysis of three?dimensional facial scans"
2017 ▪
Journal of Anatomy
Li Mao;
W. Mio;
Joanne Cole;
Tracey Ferrara;
Stephanie Santorico;
Benedikt Hallgrimsson;
Richard A. Spritz;
Mange Manyama;
Jacinda R. Larson;
Denise K. Liberton;
Sheri L. Riccardi;
Jordan J. Bannister;
Nils D. Forkert;
-
"Data from: A morphometric analysis of vegetation patterns in dryland ecosystems"
2017 ▪
W. Mio;
Stefan C. Dekker;
Luke Mander;
Surangi W. Punyasena;
Timothy M. Lenton;
Mao Li;
-
"Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences"
2017 ▪
Carolina Digital Repository (University of North Carolina at Chapel Hill)
W. Mio;
Mao Li;
Alexander Bucksch;
Acheampong Atta-Boateng;
Akomian F. Azihou;
Dorjsuren Battogtokh;
Aly Baumgartner;
Brad M. Binder;
Siobhan A. Braybrook;
Cynthia Chang;
Viktoirya Coneva;
Thomas J. DeWitt;
Alexander G. Fletcher;
Malia A. Gehan;
Diego Hernan Diaz-Martinez;
Lilan Hong;
Anjali S. Iyer-Pascuzzi;
Laura L. Klein;
Samuel Leiboff;
Jonathan P. Lynch;
Alexis Maizel;
Julin N. Maloof;
Ciera C. Martinez;
Laura A. Miller;
Wojtek Palubicki;
Hendrik Poorter;
Christophe Pradal;
Charles A. Price;
Eetu Puttonen;
Rubén Rellán-Álvarez;
Edgar P. Spalding;
Erin E. Sparks;
Joseph H. Williams;
Daniel H. Chitwood;
Cody Markelz, ;
Reese, John B.;
Topp, Christopher N.;
-
"RECONSTRUCTING FOSSIL GRASS POLLEN DIVERSITY USING SUPERRESOLUTION MICROSCOPY AND MACHINE LEARNING"
2017 ▪
Abstracts with programs - Geological Society of America
W. Mio;
Nigel Nye;
Surangi W. Punyasena;
Michael A. Urban;
-
"Human Facial Shape and Size Heritability and Genetic Correlations"
2016 ▪
Genetics
W. Mio;
Joanne Cole;
Tracey Ferrara;
Stephanie Santorico;
Ophir Klein;
Benedikt Hallgrimsson;
Richard A. Spritz;
Mange Manyama;
Jacinda R. Larson;
Denise K. Liberton;
Sheri L. Riccardi;
Mao Li;
-
"Genome-Wide Association Study Reveals Multiple Loci Influencing Normal Human Facial Morphology"
2016 ▪
PLoS Genetics
W. Mio;
John R. Shaffer;
Ekaterina Orlova;
Myoung Keun Lee;
Elizabeth J. Leslie;
Zachary D. Raffensperger;
Carrie L. Heike;
Michael L. Cunningham;
Jacqueline T. Hecht;
Chung How Kau;
Nichole L. Nidey;
Lina M. Moreno;
George L. Wehby;
Jeffrey C. Murray;
Cecelia A. Laurie;
Cathy C. Laurie;
Joanne Cole;
Tracey Ferrara;
Stephanie Santorico;
Ophir Klein;
Eleanor Feingold;
Benedikt Hallgrimsson;
Richard A. Spritz;
Mary L. Marazita;
Seth M. Weinberg;
-
"Genomewide Association Study of African Children Identifies Association of SCHIP1 and PDE8A with Facial Size and Shape"
2016 ▪
PLoS Genetics
Trevor J. Williams;
W. Mio;
Joanne Cole;
Tracey Ferrara;
Stephanie Santorico;
Ophir Klein;
Benedikt Hallgrimsson;
Richard A. Spritz;
Mange Manyama;
Emmanuel Kimwaga;
Joshua Mathayo;
Jacinda R. Larson;
Denise K. Liberton;
Ken Lukowiak;
Sheri L. Riccardi;
Mao Li;
Michaela Prochazkova;
Hong Li;
Kenneth L. Jones;
-
"Automatic stage identification of Drosophila egg chamber based on DAPI images"
2016 ▪
Scientific Reports
W. Mio;
Qian Xie;
Dongyu Jia;
Qiuping Xu;
Wu-Min Deng;
-
"Signals from the brain induce variation in avian facial shape"
2015 ▪
Developmental Dynamics
W. Mio;
Benedikt Hallgrimsson;
Rebecca Green;
Nathan M. Young;
Ralph Marcucio;
Qiuping Xu;
Diane Hu;
Heather Jamniczky;
-
"Correlations Between the Morphology of Sonic Hedgehog Expression Domains and Embryonic Craniofacial Shape"
2015 ▪
Evolutionary Biology
W. Mio;
Benedikt Hallgrimsson;
Rebecca Green;
Ralph Marcucio;
Qiuping Xu;
Heather Jamniczky;
Diane Hu;
-
"Morphometrics, 3D Imaging, and Craniofacial Development"
2015 ▪
Current topics in developmental biology/Current Topics in Developmental Biology
W. Mio;
Benedikt Hallgrimsson;
Christopher J. Percival;
Rebecca Green;
Nathan M. Young;
Ralph Marcucio;
-
"Let's Face It—Complex Traits Are Just Not That Simple"
2014 ▪
PLoS Genetics
W. Mio;
Benedikt Hallgrimsson;
Richard A. Spritz;
Ralph Marcucio;
-
"Classification of grass pollen through the quantitative analysis of surface ornamentation and texture - eScholarship"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
Mao Li;
-
"Classification of grass pollen through the quantitative analysis of surface ornamentation and texture"
2013 ▪
Proceedings of the Royal Society B Biological Sciences
W. Mio;
Mao Li;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
-
"Density Estimators of Gaussian Type on Closed Riemannian Manifolds"
2013 ▪
Journal of Mathematical Imaging and Vision
-
"UVk-mappings on homology manifolds"
2013 ▪
Algebraic & Geometric Topology
-
"Dataset S1 Part 1"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
Mao Li;
-
"Dataset S1 Part 2"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
Mao Li;
-
"Dataset S1 Part 3"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
Mao Li;
-
"Dataset S2 Part 1"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
Mao Li;
-
"Dataset S2 Part 2"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Surangi W. Punyasena;
Mao Li;
-
"Dataset S2 Part 3"
2013 ▪
W. Mio;
Luke Mander;
Charless C. Fowlkes;
Mao Li;
Surangi W. Punyasean;
-
"Multiscale Covariance Fields, Local Scales, and Shape Transforms"
2013 ▪
Lecture notes in computer science
W. Mio;
Diego H. Díaz Martínez;
Facundo Mémoli;
-
"QUANTIFYING THE COMPLEXITY OF BIOLOGICAL SHAPE"
2012 ▪
2012 GSA Annual Meeting in Charlotte
-
"Analysis of biosonar beamwidth with spherical harmonics power spectra"
2012 ▪
The Journal of the Acoustical Society of America
W. Mio;
Qiuping Xu;
Mohammad Motamedi;
Rolf Mueller;
-
"Early detection of Alzheimer's based on intrinsic measurements"
2011 ▪
-
"Characterization of shape diversity in bat biosonar beampatterns"
2011 ▪
The Journal of the Acoustical Society of America
W. Mio;
Qiuping Xu;
Rolf Müller;
Lvyin Cai;
Mohammad Motamedi;
-
"A hybrid PCA-LDA model for dimension reduction"
2011 ▪
-
"Spatial Sampling for Image Segmentation"
2011 ▪
The Computer Journal
W. Mio;
M. Rivera;
O. Dalmau;
A. Ramirez-Manzanares;
-
"Shape space analysis of structures in bat biosonar."
2011 ▪
The Journal of the Acoustical Society of America
W. Mio;
Cindy Grimm;
Rolf Müller;
Lvyin Cai;
-
"Spectral signatures of point clouds and applications to detection of Alzheimer's Disease through Neuroimaging"
2011 ▪
-
"Bioinspiration From Biodiversity in Sensor Design"
2011 ▪
Volume 2: Biomedical and Biotechnology Engineering; Nanoengineering for Medicine and Biology
W. Mio;
Cindy Grimm;
Rolf Mu¨ller;
Jianguo Ma;
Zhen Yan;
-
"DRAFT: BIOINSPIRATION FROM BIODIVERSITY IN SENSOR DESIGN"
2011 ▪
W. Mio;
Cindy Grimm;
Jianguo Ma;
Zhen Yan;
-
"Spatial Sampling for Image Segmentation"
2010 ▪
Lecture notes in electrical engineering
-
"Learning Metrics for Shape Classification and Discrimination"
2010 ▪
-
"Scale-Space Spectral Representation of Shape"
2010 ▪
-
"On generalization of performance of classifiers for steganalysis"
2010 ▪
-
"A Computational Model of Multidimensional Shape"
2010 ▪
International Journal of Computer Vision
-
"A Model of Volumetric Shape for the Analysis of Longitudinal Alzheimer’s Disease Data"
2010 ▪
Lecture notes in computer science
-
"A Riemannian model of regional degeneration of the hippocampus in Alzheimer's disease"
2010 ▪
-
"Linear Representation Learning Using Sphere Factor Analysis"
2009 ▪
-
"Image retrieval based on intrinsic spectral histogram representation"
2009 ▪
-
"Mapping hippocampal atrophy with a multi-scale model of shape"
2009 ▪
-
"Optimal dimension reduction for image retrieval with correlation metrics"
2009 ▪
-
"Registration of contours of brain structures through a heat-kernel representation of shape"
2009 ▪
-
"Spherical representations of shape using parametrizations with minimal distortion"
2009 ▪
-
"Kernel functions for robust 3D surface registration with spectral embeddings"
2008 ▪
Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition
-
"Transductive optimal component analysis"
2008 ▪
Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition
-
"Shape of Elastic Strings in Euclidean Space"
2008 ▪
International Journal of Computer Vision
-
"Learning representations for object classification using multi-stage optimal component analysis"
2008 ▪
Neural Networks
-
"Models of Normal Variation and Local Contrasts in Hippocampal Anatomy"
2008 ▪
Lecture notes in computer science
W. Mio;
None Xiuwen Liu;
Yonggang Shi;
Ivo Dinov;
Xinyang Liu;
Natasha Leporé;
Franco Leporé;
Madeleine Fortin;
Patrice Voss;
Maryse Lassonde;
Paul M. Thompson;
-
"Optimal Factor Analysis and Applications to Content-Based Image Retrieval"
2008 ▪
Communications in computer and information science
-
"Scalable optimal linear representation for face and object recognition"
2007 ▪
-
"Multi-Stage Optimal Component Analysis"
2007 ▪
IEEE International Conference on Neural Networks/IEEE ... International Conference on Neural Networks
-
"Desingularizing homology manifolds"
2007 ▪
Geometry & Topology
W. Mio;
J. Bryant;
S. Ferry;
S. Weinberger;
-
"Content-Based Image Categorization and Retrieval using Neural Networks"
2007 ▪
-
"Two-stage optimal component analysis"
2007 ▪
Computer Vision and Image Understanding
-
"A LEARNING APPROACH TO CONTENT-BASED IMAGE CATEGORIZATION AND RETRIEVAL"
2007 ▪
-
"Modeling Brain Anatomy with 3D Arrangements of Curves"
2007 ▪
-
"PARAMETRIZATION, ALIGNMENT AND SHAPE OF SPHERICAL SURFACES"
2007 ▪
-
"Landmark Representation of Shapes and Fisher-Rao Geometry"
2006 ▪
-
"Recognition using Rapid Classification Tree"
2006 ▪
-
"Splitting Factor Analysis and Multi-Class Boosting"
2006 ▪
-
"Two-Stage Optimal Component Analysis"
2006 ▪
-
"On Shape of Plane Elastic Curves"
2006 ▪
International Journal of Computer Vision
-
"The quadratic form E8 and exotic homology manifolds"
2006 ▪
Geometry and topology monographs
-
"Contour Inferences for Image Understanding"
2006 ▪
International Journal of Computer Vision
-
"Nonlinearity and optimal component analysis"
2006 ▪
Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.
W. Mio;
None Qiang Zhang;
Xiuwcn Liu;
-
"LANDMARK REPRESENTATIONOF SHAPESAND FISHER-RAOGEOMETRY"
2006 ▪
-
"Riemannian Structures on Shape Spaces: A Framework for Statistical Inferences"
2006 ▪
Modeling and simulation in science, engineering & technology
-
"SPLITTINGFACTOR ANALYSISAND MULTI-CLASSBOOSTING"
2006 ▪
-
"Non-parametric information geometry and multi-scale models of texture"
2005 ▪
European Signal Processing Conference
-
"Statistical shape analysis: clustering, learning, and testing"
2005 ▪
IEEE Transactions on Pattern Analysis and Machine Intelligence
-
"3D curve interpolation and object reconstruction"
2005 ▪
-
"A Computational Approach to Fisher Information Geometry with Applications to Image Analysis"
2005 ▪
Lecture notes in computer science
-
"Elastic Shape Models for Interpolations of Curves in Image Sequences"
2005 ▪
Lecture notes in computer science
-
"Kernel Methods for Nonlinear Discriminative Data Analysis"
2005 ▪
Lecture notes in computer science
-
"Elastic-string models for representation and analysis of planar shapes"
2004 ▪
-
"Some approaches to shape analysis"
2004 ▪
European Signal Processing Conference
-
"Analysis of planar shapes using geodesic paths on shape spaces"
2004 ▪
IEEE Transactions on Pattern Analysis and Machine Intelligence
-
"Feature preserving smoothing of 3D shape"
2004 ▪
W. Mio;
Qiuping Xu;
Lvyin Cai;
Rolf Mueller;
-
"Hierarchical Organization of Shapes for Efficient Retrieval"
2004 ▪
Lecture notes in computer science
-
"Interpolations with elasticae in Euclidean spaces"
2004 ▪
Quarterly of Applied Mathematics
-
"Learning and Bayesian Shape Extraction for Object Recognition"
2004 ▪
Lecture notes in computer science
-
"A computational geometric approach to shape analysis in images"
2003 ▪
Neural Information Processing Systems
-
"Geometric Analysis of Constrained Curves"
2003 ▪
Neural Information Processing Systems
-
"Geometric Analysis of Continuous, Planar Shapes"
2003 ▪
Lecture notes in computer science
-
"Homology manifolds"
2000 ▪
Princeton University Press eBooks
-
"Embeddings in generalized manifolds"
1999 ▪
Transactions of the American Mathematical Society
-
"EMBEDDINGS OF HOMOLOGY MANIFOLDS IN CODIMENSION?3"
1999 ▪
Topology
-
"Topology of Homology Manifolds"
1996 ▪
Annals of Mathematics
W. Mio;
J. Bryant;
S. Ferry;
S. Weinberger;
-
"Links with vanishing homotopy invariant"
1993 ▪
Communications on Pure and Applied Mathematics
-
"Topology of homology manifolds"
1993 ▪
Bulletin of the American Mathematical Society
W. Mio;
J. Bryant;
S. Ferry;
S. Weinberger;
-
"On the geometry of homotopy invariants of links"
1992 ▪
Mathematical Proceedings of the Cambridge Philosophical Society
-
"Nonlinearly Equivalent Representations of Quaternionic 2-Groups"
1989 ▪
Transactions of the American Mathematical Society
-
"Nonlinearly equivalent representations of quaternionic 2-groups"
1989 ▪
Transactions of the American Mathematical Society
-
"On boundary-link cobordism"
1987 ▪
Mathematical Proceedings of the Cambridge Philosophical Society
-
"Self-linking invariants of embeddings in the metastable range"
1987 ▪
Mathematische Annalen