多维TV-Stokes图像处理
Multidimensional TV-Stokes for image processing
摘要：
提出了一种完整的多维TV-Stokes模型，该模型首先对梯度场进行平滑处理，然后由梯度场重建多维图像。它是原来二维TV-Stokes方程到多维的正确推广。提出了利用Chambolle半隐式对偶公式的数值算法。数值结果适用于去噪3D图像和电影。它们在避免楼梯效应和保持精细结构方面表现出优异的性能。
英文摘要：
A complete multidimential TV-Stokes model is proposed based on smoothing a gradient field in the first step and reconstruction of the multidimensional image from the gradient field. It is the correct extension of the original two dimensional TV-Stokes to multidimensions. Numerical algorithm using the Chambolle's semi-implicit dual formula is proposed. Numerical results applied to denoising 3D images and movies are presented. They show excellent performance in avoiding the staircase effect, and preserving fine structures.
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