基于非线性小波变换的图像边缘分解方法

Nonlinear Wavelet Transform Based Image Edge Decomposition

图像边缘分解重建过程中,为解决重建后的边缘振荡问题,提出无需对小波变换跃变点两侧延拓,采用非线性变换把能量集中到低频分量上,用精细尺度上小波变换模极大值对跃变点进行奇异性检测,用较少存储空间和计算量即可有效克服重建图像边缘振荡问题。

Avoiding oscillation phenomenon which occurs in analysis and reconstruction of image edges, an application without extrapolation both sides is proposed. Image energy is concentrated in low frequency by using nonlinear transform, and the exact jumps location are detected by local maximum of wavelet transform in fine scale. Non-oscillation edges of reconstructed image are received with less storage space and computing time.