The role of compression is inevitable in the storage and transmission of medical images. The polynomial based image compression is proposed in this work for the compression of abdomen CT medical images. The input images are preprocessed by min–max normalization; the pixels are scanned and subjected to polynomial approximation. The polynomial approximated coefficients are subjected to llyods quantization and encoded by arithmetic coder. The medical image compression using Gaussian Hermite polynomial gives superior results when compared with the legendre polynomial based image compression and JPEG lossless compression techniques in terms of Peak to signal noise ratio (PSNR), Mean square Error (MSE) and other picture quality metrics. The algorithms are tested on real-time DICOM abdomen CT image and can be used for data transfer in teleradiology application.

中文翻译：

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基于高斯 Hermite 多项式的无损医学图像压缩

压缩的作用在医学图像的存储和传输中是不可避免的。在这项工作中提出了基于多项式的图像压缩，用于压缩腹部 CT 医学图像。输入图像经过最小-最大归一化预处理；像素被扫描并进行多项式逼近。多项式近似系数经过线性量化并由算术编码器编码。与基于勒让德多项式的图像压缩和 JPEG 无损压缩技术相比，使用高斯 Hermite 多项式的医学图像压缩在峰值信噪比 (PSNR)、均方误差 (MSE) 和其他图像质量指标方面具有更好的效果。