Hewlett-Packard Labs., Palo Alto, CA.
IEEE Trans Image Process. 1996;5(11):1582-6. doi: 10.1109/83.541429.
A general framework for anisotropic diffusion of multivalued images is presented. We propose an evolution equation where, at each point in time, the directions and magnitudes of the maximal and minimal rate of change in the vector-image are first evaluated. These are given by eigenvectors and eigenvalues of the first fundamental form in the given image metric. Then, the image diffuses via a system of coupled differential equations in the direction of minimal change. The diffusion "strength" is controlled by a function that measures the degree of dissimilarity between the eigenvalues. We apply the proposed framework to the filtering of color images represented in CIE-Lab* space.
本文提出了一种用于多值图像各向异性扩散的通用框架。我们提出了一个演化方程，在该方程中，在每个时间点，首先评估向量图像中最大和最小变化率的方向和大小。这些由给定图像度量中的第一基本形式的特征向量和特征值给出。然后，图像通过沿最小变化方向的耦合微分方程进行扩散。扩散“强度”由测量特征值之间差异程度的函数控制。我们将所提出的框架应用于在 CIE-Lab*空间中表示的彩色图像的滤波。
