Approximate Optimal Transport Between Two-Dimensional Grids R package gridOT version 1.0.2 Can be used for optimal transport between two-dimensional grids with respect to separable cost functions of l^p form. It utilizes the Frank-Wolfe algorithm to approximate so-called pivot measures: One-dimensional transport plans that fully describe the full transport, see G. Auricchio (2023) <doi:10.4171/RLM/1026>. For these, it offers methods for visualization and to extract the corresponding transport plans and costs. Additionally, related functions for one-dimensional optimal transport are available. Software Depends: R (>= 4.1) Imports: Rcpp (>= 1.0.8.3) LinkingTo: Rcpp, RcppArmadillo Michel Groppe <michel.groppe@uni-goettingen.de> Comprehensive R Archive Network (CRAN) Michel Groppe [aut, cre], Nicholas Bonneel [ctb], Egerváry Research Group on Combinatorial Optimization [cph] GPL-3 2025-09-18 application/tgz https://CRAN.R-project.org/package=gridOT doi:10.32614/CRAN.package.gridOT