数论变换算法的拓展与在图像压缩中应用
Journal Title: Science Paper Online - Year 2006, Vol 1, Issue 3
Abstract
本文研究并利用了数论变换的性质、特点以及快速算法的优势，结合图象数据的特点以及二维序列与变换系数之间的关系，拓展了数论变换算法，提出了数论变换转置定理和周期性二维序列与变换系数关系定理并给予证明。使用CCITT推荐的8幅二值图像进行验证和分析，结果表明，数论变换快速算法及提出的两个定理，用于对图像数据的压缩是可行的，且分块适当可提高运算速度，减少存储空间，提高压缩比。本文算法在图象压缩中应用具有较大的理论意义和应用价值，为数论变换在图像压缩中的应用迈出了实际应用的第一步。
Authors and Affiliations
Hong Zhang, Bing Liu
Keywords
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