The zonoid regions of an empirical distribution got many applications in multivariate statistical analysis. You can try calculating zonoid trimmed regions using R (see more about R) package that we have developed. To download the latest version of the package press here:
Having downloaded, install the package on your machine (choose installation from a local zip-file option in your R environment). Then it can be loaded like a standard package (with name 'zonoid'). For detailed information about available functions, input and output formats see embedded help.
The program takes input data from a file. A sample input file: Download. It should be placed into the working directory of R (see help for the package and corresponding functions).
Further information about zonoid regions you can find in the following book:
Multivariate Dispersion, Central Regions and Depth: The Lift Zonoid Approach