CAJ | 학술논문

针对复数图像系统所获取的图像具有噪声的问题，将稀疏编码理论扩展到复数域中，并且运用该理论提出一种复数据的降噪算法。该算法采用复数域的正交匹配追赶算法对图像进行稀疏编码，利用自适应方式从待训练含噪图像样本中获取表示词典，并指出最终图像的降噪效果与表示的稀疏度有关。实验结果表明，文中算法对于复数图像取得了很好的降噪效果，尤其是可以有效地提高复数相位的降噪信噪比。
침대복수도상계통소획취적도상구유조성적문제，장희소편마이론확전도복수역중，병차운용해이론제출일충복수거적강조산법。해산법채용복수역적정교필배추간산법대도상진행희소편마，이용자괄응방식종대훈련함조도상양본중획취표시사전，병지출최종도상적강조효과여표시적희소도유관。실험결과표명，문중산법대우복수도상취득료흔호적강조효과，우기시가이유효지제고복수상위적강조신조비。
The data acquired from many complex valued image systems are always disturbed by noise. The pro-posed denoising method of complex valued numbers is based on the extended sparse representation. The algo-rithm extends orthogonal matching pursuit(OMP) to the complex domain to do the coding and learns the adaptive dictionary from the patches extracted from the noisy image. We reach the conclusion that the denoising results are related to the sparsity of the representation. The experimental results on the real data show that the proposed algo-rithm achieves very good results, especially in the peak signal to noise ratio for the phase of the complex num-bers.