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Next: Formal inversion Up: INTERPOLATION AS A MATRIX Previous: Looping over input space

Looping over output space

The alternate method that is usually preferable to looping over input space is that our program have a loop over the space of the outputs, and that each output find its input. The matrix multiply of (2) can be interpreted this way. Where the transformation shrinks is a small problem. In that area many points in the input space are ignored, where perhaps they should somehow be averaged with their neighbors. This is not a serious problem unless we are contemplating iterative transformations back and forth between the spaces.

We will now address interesting questions about the reversibility of these deformation transforms.


next up previous print clean
Next: Formal inversion Up: INTERPOLATION AS A MATRIX Previous: Looping over input space
Stanford Exploration Project
12/26/2000