# Computation of Optimal Transport Plans and Wasserstein Distances

## Documentation for package ‘transport’ version 0.12-2

- DESCRIPTION file.
- Package NEWS.

## Help Pages

transport-package | Optimal Transport in Various Forms
aha | Solve Transportation Problem by Aurenhammer-Hoffmann-Aronov Method
all.equal.pgrid | Methods for Judging Near Equality of Objects of Class pgrid, pp or wpp
all.equal.pp | Methods for Judging Near Equality of Objects of Class pgrid, pp or wpp
all.equal.wpp | Methods for Judging Near Equality of Objects of Class pgrid, pp or wpp
compatible | Test whether Two Objects are Compatible
compatible.pgrid | Test whether Two Objects are Compatible
compatible.pp | Test whether Two Objects are Compatible
compatible.wpp | Test whether Two Objects are Compatible
northwestcorner | Compute starting solution for the transportation problem
pgrid | Constructor for the pgrid Class
pgrid-object | Class of Pixel Grids
plot.pgrid | Methods for Plotting Objects of Class pgrid, pp and wpp
plot.power_diagram | Compute the Power Diagram of Weighted Sites in 2-Dimensional Space
plot.pp | Methods for Plotting Objects of Class pgrid, pp and wpp
plot.wpp | Methods for Plotting Objects of Class pgrid, pp and wpp
plot_apollonius | Plot Apollonius Diagram
power_diagram | Compute the Power Diagram of Weighted Sites in 2-Dimensional Space
pp | Constructor for the pp Class
pp-object | Class of (Unweighted) Point Patterns
print.pgrid | Print and Summary Methods for Objects of Class pgrid, pp and wpp
print.pp | Print and Summary Methods for Objects of Class pgrid, pp and wpp
print.wpp | Print and Summary Methods for Objects of Class pgrid, pp and wpp
random128 | Images to Illustrate the Use of transport.pgrid
random128a | Images to Illustrate the Use of transport.pgrid
random128b | Images to Illustrate the Use of transport.pgrid
random32 | Images to Illustrate the Use of transport.pgrid
random32a | Images to Illustrate the Use of transport.pgrid
random32b | Images to Illustrate the Use of transport.pgrid
random64 | Images to Illustrate the Use of transport.pgrid
random64a | Images to Illustrate the Use of transport.pgrid
random64b | Images to Illustrate the Use of transport.pgrid
ret_message | Return Text Strings for lbfgs Return Codes
russell | Compute starting solution for the transportation problem
semidiscrete | Find Optimal Transport Partition Between pgrid and wpp.
semidiscrete1 | Compute Semidiscrete Optimal Transport for Euclidean Distance Cost
shielding | Compute Optimal Transport (Cost/Plan) Using the Multiscale Shielding Method
subwasserstein | Approximate Computation of Wasserstein Distances via Subsampling.
summary.pgrid | Print and Summary Methods for Objects of Class pgrid, pp and wpp
summary.pp | Print and Summary Methods for Objects of Class pgrid, pp and wpp
summary.wpp | Print and Summary Methods for Objects of Class pgrid, pp and wpp
transport | Find Optimal Transport Plan Between Two Objects
transport.default | Find Optimal Transport Plan Between Two Objects
transport.pgrid | Find Optimal Transport Plan Between Two Objects
transport.pp | Find Optimal Transport Plan Between Two Objects
transport.wpp | Find Optimal Transport Plan Between Two Objects
transport_apply | Solve Transportation Problem by Aurenhammer-Hoffmann-Aronov Method
transport_error | Solve Transportation Problem by Aurenhammer-Hoffmann-Aronov Method
transport_track | Create a Dynamic Visualization of a Transference Plan Between Two pgrids
trcontrol | Set the Control Parameters Used by 'transport'.
wasserstein | Compute the Wasserstein Distance Between Two Objects
wasserstein1d | Compute the Wasserstein Distance Between Two Univariate Samples
wpp | Constructor for the wpp Class
wpp-object | Class of Weighted Point Patterns