Visual images or visual understanding of what one is trying to do are definitely helpful … I would say understanding is achieved and results come more readily if one has a picture rather than by looking at a lot of formulas.
The Creative Experience (1970)
Our goals in writing and editing this book were to give researchers and students an understanding of how ideas in information visualization evolve and spread. The dissemination of ideas is a fascinating and instructive process, especially if it involves your original ideas. It is a thrill to see someone adopt your ideas or software, often refining them substantially as they apply them to some novel domain. Fortunately, we have had very positive collaborative experiences. ...