Convergence Analysis of Volumetric Stretch Energy Minimization and Its Associated Optimal Mass Transport

A novel 2-phase residual U-net algorithm combined with optimal mass transportation for 3D brain tumor detection and segmentation

(2022) Wen-Wei Lin et al.   Scientific Reports

Foldover-free maps in 50 lines of code

(2021) Vladimir Garanzha et al.   ACM TRANSACTIONS ON GRAPHICS

Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems

(2021) Mei-Heng Yueh et al.   JOURNAL OF SCIENTIFIC COMPUTING

3D brain tumor segmentation using a two-stage optimal mass transport algorithm

(2021) Wen-Wei Lin et al.   Scientific Reports

Improving model-based functional near-infrared spectroscopy analysis using mesh-based anatomical and light-transport models

(2020) Anh Phong Tran et al.   Neurophotonics

Lifting simplices to find injectivity

(2020) Xingyi Du et al.   ACM TRANSACTIONS ON GRAPHICS

A geometric view of optimal transportation and generative model

(2018) Na Lei et al.   COMPUTER AIDED GEOMETRIC DESIGN

Optimal Mass Transport: Signal processing and machine-learning applications

(2017) Soheil Kolouri et al.   IEEE SIGNAL PROCESSING MAGAZINE

Advancing The Cancer Genome Atlas glioma MRI collections with expert segmentation labels and radiomic features

(2017) Spyridon Bakas et al.   Scientific Data

Bijective maps from simplicial foliations

(2016) Marcel Campen et al.   ACM TRANSACTIONS ON GRAPHICS

Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge–Ampère equations

(2016) Xianfeng Gu et al.   Asian Journal of Mathematics

Off-centre Steiner points for Delaunay-refinement on curved surfaces

(2016) Darren Engwirda et al.   COMPUTER-AIDED DESIGN

A continuous linear optimal transport approach for pattern analysis in image datasets

(2016) Soheil Kolouri et al.   PATTERN RECOGNITION

Large-scale bounded distortion mappings

(2015) Shahar Z. Kovalsky et al.   ACM TRANSACTIONS ON GRAPHICS

From Knothe's Rearrangement to Brenier's Optimal Transport Map

(2013) Nicolas Bonnotte   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

A Linear Optimal Transportation Framework for Quantifying and Visualizing Variations in Sets of Images

(2012) Wei Wang et al.   INTERNATIONAL JOURNAL OF COMPUTER VISION

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

(2009) Amir Beck et al.   SIAM Journal on Imaging Sciences