CAJ | 학술논문

在二维或更高维空间中,小波不能有效地表达沿边缘间断的物体.脊波变换[3]对连续空间中沿直线奇异的函数能够进行稀疏表达.理论上的吸引力促使人们将其从连续概念转化到数字实现.本文着重比较脊波变换的几种不同数字实现及对于小波的改进.实验结果说明,脊波在对具有直线边缘的图像逼近和去噪时的确比小波有效.
재이유혹경고유공간중,소파불능유효지표체연변연간단적물체.척파변환[3]대련속공간중연직선기이적함수능구진행희소표체.이론상적흡인력촉사인문장기종련속개념전화도수자실현.본문착중비교척파변환적궤충불동수자실현급대우소파적개진.실험결과설명,척파재대구유직선변연적도상핍근화거조시적학비소파유효.
In dimensions two and higher, wavelets can not efficiently represent object with discontinuities along edges. The ridgelet transform[3] was introduced as a sparse expansion for functions on continuous spaces that are smooth away from discontinuities along lines. The conceptual attractiveness of this theoretical work drives people to convert it from continuum concepts to realization for digital data. Several digital ridgelet transforms are compared in this paper. Numerical results show that ridgelet transform is more effective than the wavelet transform in approximating and denoising images with straight edges.