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FeigDCT算法的矩阵分析与改进

Keywords: 离散余弦变换(DCT),Feig,MPEG4,VLIW,SIMD,图像处理

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Abstract:

离散余弦变换(DCT)是图像处理领域广泛使用的一种变换方法,其中,Feig的2DDCT算法被认为是需要加法和乘法操作次数最少的.为了加深对Feig算法的理解和进一步提出更好的快速算法,首先使用简单的矩阵分解理沦来得到Feig的算法和另外3种不同形式的矩阵分解;然后,对Feig的Scaled-DCT算法做进一步研究,消去了其中隐含的49个求相反数的多余操作,并使其结构更加规整,以适合于SIMD和VLIW结构.

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