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(You may want to learn first the basic concepts in my photography tutorial: 1 2 3 4)
Playing with my DoF/FoV calculator, I learnt the following...

Say you have three different cameras: a full frame stills camera (1x crop factor), an APS-C stills camera (1.6x crop factor) and a 2/3" system videocamera (3.9x crop factor). They all deliver very nice video at 1920x1080 resolution, and 24 frames per second. Glass is ideally perfect on all three of them. You plant your tripod on a particular spot, and shoot from there using all three cameras. Then, you'll get exactly the same images, if you use the following settings:

* 50mm lens set at f/5.6, 1/50s and ISO 1600 on a full frame camera
* 31mm lens set at f/3.5, 1/50s and ISO 600 on an APS-C camera
* 13mm lens set at f/1.4, 1/50s and ISO 100 on a 2/3" camera

In all three cases, field of view, depth of field and exposure will be absolutely identical. And also compression, face distortion because of perspective, size of out-of-focus highlights... The images will be basically identical.

To test my theory and illustrate the matter, I took the following three images:

please visit my equipment recommendations

regular: 90mm lens set at f/7.0, 1s and ISO 200 on an APS-C camera
mouseover: ~35mm lens set at f/2.8, 1/6s and ISO 200 on 2/3" camera

regular: 90mm lens set at f/2.8, 1/6s and ISO 200 on an APS-C camera
mouseover: 90mm lens set at f/7.0, 1s and ISO 200 on an APS-C camera

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