By recording every state change in the run of a program, it is possible to present the programmer every bit of information that might be desired. Essentially, it becomes possible to debug the program by going “backwards in time,” vastly simplifying the process of debugging. An implementation of this idea, the “Omniscient Debugger,” is used to demonstrate its viability and has been used successf...

We propose an eecient algorithm for image alignment. The key step is to estimate the inverse of the incremental update to the warp. The incremental update is then inverted and composed with the current estimate to form the new estimate for the next iteration. The set of warps must therefore form a group. The algorithm is eecient because estimating the inverse of the update reverses the role of ...

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