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Background (ortho) image as ortho size reference

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I want to use an ortho-style photo as a correct size reference in a Houdini ortho view. The full width of the image represents 3 cm and I use 1 unit in Houdini as 1 cm (I can change the image's pixel resolution to whatever I want) As far as the size values for the background image, is there a formula that allows scaling the background image so that its width is 3 units wide in a Houdini ortho view? I can fiddle with the size values manually, but I'd prefer if there was a math formula that would get me there quickly and exactly.

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