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The Rice algorithm is a standard for numerically lossless image compression, especially for space applications, as described by the Consultative Committee for Space Data Systems. It is remarkably simple and adaptable and delivers effective compression for a wide range of signals. The present work investigates an extension of the standard Rice algorithm to support lossy compression, referred to as Enhanced Rice, or ERICE. The extended system allows compression to scale gracefully from numerically lossless to visually lossy and is only slightly more complex than the numerically lossless system.