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What is the ideal way to UV map modular pipes of different sizes?

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supremedalek925 polycounter lvl 10

     For my project, I am building a set of modular pipe pieces with different diameters.  Currently all of the UVs are square-mapped from the 0-1 range so the pieces are perfectly tileable; however, depending on the thickness of the pipe, its UVs may be stretched too thin or too far on the V axis. I could scale the UV shell vertically, but then it would not be seamless when connected to other pipe pieces.
     Would anyone care to share their insight as to what the best approach would be?  I'm thinking of scaling the V axis by factors of 1 so that there would still be some distortion, but still be seamless. I'm not sure if there's a better method than this though.
     There's also the matter of texel density, which I could address by making a few different texture sizes, but it still wouldn't be perfect.  Do you think this would be a big deal?

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