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A Proposal of Generalized Analytic Reconstruction from Discrete Samples (GARDS)

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Abstract

In both image reconstruction and restoration fields many methods have been reported or proposed so far, and they contribute a lot to the research development. Although these image processing techniques deal with continuous objects and start with discretely sampled data, there has not been developed a complete model which can well represent a continuous-discrete relation. This continuous-discrete relation means that the object space is defined as continuous, while the observation space is discrete. So, we call this relation a C-D mapping in this paper. Using this expression, it can said that conventional methods developed in image processing fields are essentially based on either C-C or D-D mapping.

© 1992 Optical Society of America

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