Ripplet: A New Transform for Image Processing

Jun Xu, Lei Yang and Dapeng Wu

 

Ripplet: A New Transform for Feature Extraction and Image Representation

Dr. Dapeng Oliver Wu

Department of Electrical and Computer Engineering, University of Florida 

 

傅里叶变换 使 微分方程 变为 代数方程,便于运算;变到频率域 分清主次 用于 压缩。

 

越变 会产生 无穷多的频率

Fourier transform —— Gibbs phenomenon

Wavelet transform can resolve 1-D singularities, but it can not resolve 2-D singularities

Ridgelet [Candes and Donoho] Resolve 2D singularities along lines

Curvelet [Candes and Donoho] Resolve 2D singularities along curves

parabolic scaling,不同于rotated 2D wavelet(各向同性)。

Resolve 2D singularities along curves

Ripplet: Blocks with arbitrary shape and size, not good at 纹理

 

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