The invention comprises a system of client-server visualization with hybrid data processing, having a server digital data processor, that allows for server side rendering and processing image data, and client digital data processors simultaneously connected to the server, which receives messages from the clients, creates rendered images of data sets or other data processing results and sends those rendered images and results to the clients for display or further processing. Performing certain image rendering operations on either the server or the client according to which is better suited for the tasks requested by the user at any point in time, and possibly adjusting this division of work dynamically, improves rendering speed and application responsiveness on the clients.