2D linear space-variant processing by coherent optics: A sequence convolution approach

Richard Bamler; Josef Hofer-Alfeis

doi:10.1016/0030-4018(82)90099-2

2D linear space-variant processing by coherent optics: A sequence convolution approach

Richard Bamler, Josef Hofer-Alfeis

TUM Emeriti of Excellence

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Linear space-variant (LSV) operations of n dimensions can be replaced by a convolution of 2n dimensions. This allows direct optical implementation of 1D LSV operations, while 2D LSV processing requires 4D convolution. In the case of "variation bandlimited" point spread functions this 4D convolution can be performed coherent-optically by means of sequence convolution. For this task an optical processor design is proposed and its processing capacity is calculated.

Original language	English
Pages (from-to)	97-102
Number of pages	6
Journal	Optics Communications
Volume	43
Issue number	2
DOIs	https://doi.org/10.1016/0030-4018(82)90099-2
State	Published - 15 Sep 1982

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title = "2D linear space-variant processing by coherent optics: A sequence convolution approach",

abstract = "Linear space-variant (LSV) operations of n dimensions can be replaced by a convolution of 2n dimensions. This allows direct optical implementation of 1D LSV operations, while 2D LSV processing requires 4D convolution. In the case of {"}variation bandlimited{"} point spread functions this 4D convolution can be performed coherent-optically by means of sequence convolution. For this task an optical processor design is proposed and its processing capacity is calculated.",

author = "Richard Bamler and Josef Hofer-Alfeis",

year = "1982",

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AU - Hofer-Alfeis, Josef

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N2 - Linear space-variant (LSV) operations of n dimensions can be replaced by a convolution of 2n dimensions. This allows direct optical implementation of 1D LSV operations, while 2D LSV processing requires 4D convolution. In the case of "variation bandlimited" point spread functions this 4D convolution can be performed coherent-optically by means of sequence convolution. For this task an optical processor design is proposed and its processing capacity is calculated.

AB - Linear space-variant (LSV) operations of n dimensions can be replaced by a convolution of 2n dimensions. This allows direct optical implementation of 1D LSV operations, while 2D LSV processing requires 4D convolution. In the case of "variation bandlimited" point spread functions this 4D convolution can be performed coherent-optically by means of sequence convolution. For this task an optical processor design is proposed and its processing capacity is calculated.

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2D linear space-variant processing by coherent optics: A sequence convolution approach

Abstract

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