不同的微分算子对边缘的敏感程度是不同的，如何选用适当的边缘检测算子得到准确的边缘信息，就成为断口图像处理的关键步骤。
Sensitivity is different for different differential operators, how to choose a suitable edge detection operator to obtain exact information of edge, is the essential step for fracture surface image.
适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。
Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.
接着，利用函数的上次微分构造了不可微向量优化问题（VP）的广义对偶模型，并且在适当的弱凸性条件下建立了弱对偶定理。
Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
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