Abstract

The paper deals with the algorithms of optimal quantization and adaptive interpolation in interpolative and hierarchical compression of multidimensional signals. An uneven quantization scale optimization algorithm is invented to tackle the unknown number of quantization levels given soft requirements for the optimization criterion. An important instance of applying the quantizer to the compression problem is considered. Additionally, the adaptation of parameterized interpolation algorithms to interpolative and hierarchical compression methods is made that includes the definition of interpolation functions, inference rules for these functions, and inference rules optimization algorithms. The optimizers and quantizers are tested in the compression of real multidimensional data.

中文翻译：

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多维信号压缩中的最佳量化和自适应插值

摘要

本文研究了多维信号插值和分层压缩中的最佳量化和自适应插值算法。发明了一种不均匀的量化尺度优化算法，以解决给定优化准则的软要求的情况下解决的未知数量的量化水平。考虑了将量化器应用于压缩问题的重要实例。另外，使参数化插值算法适应于插值和分层压缩方法，其中包括插值函数的定义，这些函数的推理规则以及推理规则优化算法。优化器和量化器在实际的多维数据压缩中经过测试。