Conformal curvature flows: From phase transitions to active vision
Conformal curvature flows: From phase transitions to active vision
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DOI：
10.1007/bf00379537
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发表时间：
1996-01-01
影响因子：
2.5
通讯作者：
Yezzi, A
中科院分区：
文献类型：
--
作者：
Kichenassamy, S;Kumar, A;Yezzi, A
在本文中，我们从曲线演化的角度分析了几何活动轮廓模型，并提出了一些基于梯度流相对于某些新的基于特征的黎曼度量的修改。这导致了一种新颖的边缘检测范例，其中感兴趣的特征可以被认为位于势井的底部。因此，寻边曲线被非常自然且有效地吸引到所需特征。与 Allen-Cahn 模型的比较阐明了这些模型中所做的一些选择，并提出了非均匀模型，这些模型可能反过来在相变中有用。我们还考虑了一些基于这些想法的 3 维活动表面模型。该模型的合理性依赖于对从水平集方法导出的演化方程的粘度解的仔细研究。
In this paper, we analyze geometric active contour models from a curve evolution point of view and propose some modifications based on gradient flows relative to certain new feature-based Riemannian metrics. This leads to a novel edge-detection paradigm in which the feature of interest may be considered to lie at the bottom of a potential well. Thus an edge-seeking curve is attracted very naturally and efficiently to the desired feature. Comparison with the Allen-Cahn model clarifies some of the choices made in these models, and suggests inhomogeneous models which may in return be useful in phase transitions. We also consider some 3-dimensional active surface models based on these ideas. The justification of this model rests on the careful study of the viscosity solutions of evolution equations derived from a level-set approach.