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Contour compression using wavelet and Piecewise Linear transforms

机译:使用小波和分段线性变换的轮廓压缩

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The efficiency of the Periodic Haar Piecewise-Linear (PHL) transform and the Wavelet Transform (WT) in the compression of contour data is presented in this paper. The periodic Haar piecewise linear transform PHL is introduced. This transform is generally based on integrating the periodic Haar functions. Test contours extracted from binary images are represented by two one-dimensional sequences x(i) and y(i) representing the cartesian coordinates of the boundary points of the contour. The contour sequences are transformed and some of the spectral coefficients are selected for inverse transformation. The threshold and zonal methods of compression are investigated. Comparison of the PHL transform and the Wavelet transform with respect to the mean square error versus the compression ratio is reported. It is shown that the Daubechies-4 Wavelet and the PHL transforms have a close performance at low compression ratios, however, the PHL transform has a better compression efficiency at high compression ratios.
机译:提出了周期性Haar分段线性(PHL)变换和小波变换(WT)在轮廓数据压缩中的效率。介绍了周期性Haar分段线性变换PHL。该变换通常基于积分周期Haar函数。从二值图像提取的测试轮廓由两个一维序列x(i)和y(i)表示,它们表示轮廓边界点的笛卡尔坐标。轮廓序列被变换并且一些频谱系数被选择用于逆变换。研究了阈值和分区压缩方法。报道了关于均方误差与压缩比的PHL变换和小波变换的比较。结果表明,Daubechies-4小波和PHL变换在低压缩比下具有接近的性能,但是PHL变换在高压缩比下具有更好的压缩效率。

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