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We describe generalized projection procedures for the design of arbitrary filter functions for correlators. More specifically, serial and parallel implementations of projection-based algorithms are employed. The novelty of this procedure lies in its generality and its ability to handle wide varieties of constraints by the same procedure. The procedure is… (More)

Phase extraction pattern recognition is a special case of nonlinear matched filtering. The phase extraction procedure is executed on the input function's Fourier transform as well as on the filter function's Fourier transform, both of which are manipulated for correlation purposes. This novel process is examined theoretically, by computer simulations and… (More)

Image restoration from degraded observations and from properties that the image is supposed to satisfy has been approached by the method of projections onto convex constraint sets. Previous attempts have incorporated only partially the knowledge that we possess about the image to be restored because of difficulties in the implementation of some of the… (More)

Multiple-object input to the recently introduced phase-extraction correlator may cause difficulties owing to interference effects. Similar effects have been observed previously in the nonlinear joint transform correlator. It is shown theoretically and by computer simulations that these effects are seldom observable in practice, and even then they can be… (More)

Mutually orthogonal pattern distortions are handled by an adaptive optical recognition system. A double-channel system is presented that implements pattern recognition with rotation, scale, and shift invariance. The recognition process is based on a two-stage operation: An object-independent determination of one distortion parameter (the scale, in the… (More)

- Tuvia Kotzer
- 1999

We call a sequence fxng in Hilbert space \spherical" if there exists u such that lim kxn uk exists and is nite. If moreover u is a weak accumulation point of the sequence, we call the sequence \spherically convergent". We demonstrate that for large classes of non-expansive (possibly non-stationary) discrete-time processes in Hilbert space the iterates are… (More)

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