Here are some equations and notes I've taken that I'll have to properly familiarise myself with by the time my 3D rig is ready.
Stereoscopic Parallax Budget (sometimes called Depth Budget) vs Depth Bracket
The Depth Bracket of your scene refers to the actual distance between your closest object in the frame and the furthest object. The Parallax Budget refers to your calculated maximum positive parallax and desired maximum negative parallax represented in percentage of screen width. For example if I determine through a simple calculation that my positive parallax should never exceed 0.7% of screen width and I have determined that my negative parallax should not exceed 2% of screen width, then my total Parallax Budget is 2.7%. The Depth Bracket must be able to be squeezed into the Parallax Budget. There are many algebraic formulas to determine the proper interaxial distance to achieve this.
Native Parallax for final display size
The native parallax for a given screen size simply refers to what percentage of screen width will equal the human interocular. If you are using 2.5 inches as the baseline interocular and you know your presentation screen will be 30 feet wide (360 inches) then just divide 2.5 by 360. 2.5 ÷ 360 = 0.007 or 0.7% Therefore the Native Parallax of a 30 foot screen is 0.7%, so we should make sure to keep our maximum positive parallax under 0.7% of screen width if we plan to show our footage on a 30 foot wide screen. If we shoot for a 65” 3DTV, then we can get away with over 3% positive parallax.
The 1/30th Rule
The 1/30 rule refers to a commonly accepted rule that has been used for decades by hobbyist stereographers around the world. It basically states that the interaxial separation should only be 1/30th of the distance from your camera to the closest subject. In the case of ortho-stereoscopic shooting that would mean your cameras should only be 2.5” apart and your closest subject should never be any closer than 75 inches (about 6 feet) away.
Interaxial x 30 = minimum object distance
or
Minimum object distance ÷ 30 = Interaxial
If you are using a couple standard 6″ wide camcorders in a side by side rig as close as they will fit together then the calculation would look like: 6” x 30 = 180 inches or 15 feet. That’s right… 15 feet!
But does the 1/30 rule apply to all scenarios? No, the 1/30 rule certainly does not apply to all scenarios. In fact, in feature film production destined for the big screen we will typically use a ratio of 1/60, 1/100 or higher. The 1/30 rule works well if your final display screen size is less than 65 inches wide, your cameras were parallel to each other, and your shots were all taken outside with the background at infinity. When you are ready to take the next step to becoming a stereographer you will need to learn about parallax range and the various equations available to calculate maximum positive parallax (the parallax of the furthest object,) which will translate into a real-world distance when you eventually display your footage.
Remember that illustration on page 3 of the eyes pointing outward (diverging)? Well it isn’t natural for humans to diverge and therefore the maximum positive parallax when displayed should not exceed the human interocular of 2.5 inches (65mm). You can readjust the convergence point and bring the maximum positive parallax within the limits of the native display parallax (2.5 inches) but that will also increase your negative parallax.
