Speaking from the industry point of view, I strongly agree with what Nicholas Dunne wrote, especially if there is interest in long term collaboration. Starting from a student or postdoc project helps to build a relationship and get used to working with each other. Academia and industry often have very different expectations in the beginning.
The previous discussion here was more related to patents – you can of course obtain funds for your research by licensing etc. (which would be a great success), but this is less probable to result in a joint project. More likely, the company will acquire the IP rights and launch its own development project to bring the idea to the market, since this phase includes many areas where academia is not so strong (scale-up, packaging, sterilisation, stability / shelf-life, etc.).