基于离散切比雪夫变换的图像压缩

Based on discrete orthogonal tchebichef transform for image compression

分析基于离散余弦变换的JPEG图像压缩编码算法,并对离散余弦变换与离散切比雪夫变换的基函数进行比较,提出了一种基于离散切比雪夫变换的图像压缩算法。以JPEG图像压缩量化表为基准,利用信息熵的方法,设计了该算法在量化过程中使用的量化表。通过MATLAB R2010B平台对图像的压缩与重建过程进行仿真实验,实验结果表明,该算法和JPEG压缩算法相比,压缩图像的PSNR值非常接近,但该算法压缩的图像压缩比更高。

After analyzing joint photographic experts group （JPEG） compression based on the discrete cosine transform （DCT）, discussing orthogonal basis functions as the kernel for DCT and discrete tchebichef transform （DTT）, a novel approach of based on DTT for image compression is proposed. According to JPEG standard quantization table, using information entropy, quantization table of algorithm of based on DTT for image compression is designed. A comparison for color image between based on DTT and JPEG image compression and reconstruction using MATLAB R2010B. An simulation example is presented two methods have almost the same performance in peak signal to noise ratio （PSNR）, but image compression based on DTT perform more compact than JPEG in encode length.