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It is possible to compress images using singular value decomposition
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It is possible to compress images using singular value decomposition and leaving out the smaller values. You will get "squares" as artifacts.

Is something similar possible for a dataset of voxels?
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Yes, you will get "cubes" as artifacts.
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>>7807599
Ok. But how are they defined? How are they called? How can they be calculated?
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Ok. Found the Tucker Decomposition.
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What are you trying to use this for? I'm pretty interested in 3D computer vision as well
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