Is this related to your other post at How to select desired table column??
If so, do you need to send the data back, or do you just need to submit the values of the selection, knowing that you have the data on the server?
If you really do need to send the data back, then you would need to write some JavaScript to inspect the tables and extract the values, submitting that in the request.
Otherwise, I suggest you only send back the checkbox values and perform the data retrieval on the server, using the same queries as what produced the original table, but using the checkboxes to identify what data elements to use.