CAJ | 학술논문

研究了总变分（ total variation，TV）模型在图像去噪中的应用，针对TV正则化模型在图像去噪过程中容易导致阶梯效应的缺陷，提出利用二阶总广义变分（ total generalized variation ，TGV）正则项代替TV正则项的图像去噪模型，并利用小波变换模极大值在检测图像边缘应用中的优点，在TGV正则化模型中引入以小波变换模为参数值的边缘检测函数，利用边缘检测函数引导扩散。该模型具备良好去噪和保持图像边缘的优点，还能缓解阶梯效应的产生。
연구료총변분（ total variation，TV）모형재도상거조중적응용，침대TV정칙화모형재도상거조과정중용역도치계제효응적결함，제출이용이계총엄의변분（ total generalized variation ，TGV）정칙항대체TV정칙항적도상거조모형，병이용소파변환모겁대치재검측도상변연응용중적우점，재TGV정칙화모형중인입이소파변환모위삼수치적변연검측함수，이용변연검측함수인도확산。해모형구비량호거조화보지도상변연적우점，환능완해계제효응적산생。
The application of Total Variation model in image denoising was studied .This model has disadvantage of causing staircasing phenomenon .As for this defect , a second-order Total Generalized Variation regularization was proposed instead of Total Variation regularization in denoising model .The advantage of the application of the wavelet transform modulus maxima in edge detection was discussed .The edge detection function whose parameter is the wavelet transform modulus was introduced to the new image denoising model .The proposed model can effectively denoise as well as protect the edges and details of image .It can also ease the produce of staircase effect .