Some basic problems on the level set methods were discussed, such as the method used to preserve the distance junction , the existence and uniqueness of solution for the level set equations. The main contribution is t...Some basic problems on the level set methods were discussed, such as the method used to preserve the distance junction , the existence and uniqueness of solution for the level set equations. The main contribution is to prove that in a neighborhood of the initial zero level set, the level set equations with the restriction of the distance function have a unique solution, which must be the signed distance function with respect to the evolving surface. Some skillful approaches were used: Noticing that any solution for the original equation was a distance function, the original level set equations were transformed into a simpler alternative form. Moreover, since the new system was not a classical one, the system was transformed into an ordinary one, for which the implicit function method was adopted.展开更多
As a new method, the Level Set method had been developed to compute the interface of two-phase flow. The basic mathematical theory and the detailed method to solve the free surface hydrodynamic problem had been invest...As a new method, the Level Set method had been developed to compute the interface of two-phase flow. The basic mathematical theory and the detailed method to solve the free surface hydrodynamic problem had been investigated. By using the Level Set method, the transformation of a solitary wave over a front step was simulated. The results were in good agreement with laboratory experiments.展开更多
为了实现含有复杂背景和弱边界图像的快速准确分割,传统的水平集常采用重新初始化的方法,但是这种方法存在计算量大、分割不准确等问题。因此,结合显著性区域,该文提出一种基于边缘信息与区域局部信息结合的变水平集图像快速分割方法。...为了实现含有复杂背景和弱边界图像的快速准确分割,传统的水平集常采用重新初始化的方法,但是这种方法存在计算量大、分割不准确等问题。因此,结合显著性区域,该文提出一种基于边缘信息与区域局部信息结合的变水平集图像快速分割方法。首先用元胞自动机模型检测出图像的显著性区域,得到图像的初始化边界曲线。然后,采用改进的距离正规化水平集演化(Distance Regularized Level Set Evolution,DRLSE)模型把图像的局部信息结合到变分能量方程中,用改进的能量方程去指导曲线的演化。实验结果表明,与DRLSE模型相比,提出的算法平均消耗的时间只需要前者的2.76%,且具有较高的分割准确性。展开更多
基金the National Natural Science Foundation of China (6001161942, 60203003)
文摘Some basic problems on the level set methods were discussed, such as the method used to preserve the distance junction , the existence and uniqueness of solution for the level set equations. The main contribution is to prove that in a neighborhood of the initial zero level set, the level set equations with the restriction of the distance function have a unique solution, which must be the signed distance function with respect to the evolving surface. Some skillful approaches were used: Noticing that any solution for the original equation was a distance function, the original level set equations were transformed into a simpler alternative form. Moreover, since the new system was not a classical one, the system was transformed into an ordinary one, for which the implicit function method was adopted.
文摘As a new method, the Level Set method had been developed to compute the interface of two-phase flow. The basic mathematical theory and the detailed method to solve the free surface hydrodynamic problem had been investigated. By using the Level Set method, the transformation of a solitary wave over a front step was simulated. The results were in good agreement with laboratory experiments.
文摘为了实现含有复杂背景和弱边界图像的快速准确分割,传统的水平集常采用重新初始化的方法,但是这种方法存在计算量大、分割不准确等问题。因此,结合显著性区域,该文提出一种基于边缘信息与区域局部信息结合的变水平集图像快速分割方法。首先用元胞自动机模型检测出图像的显著性区域,得到图像的初始化边界曲线。然后,采用改进的距离正规化水平集演化(Distance Regularized Level Set Evolution,DRLSE)模型把图像的局部信息结合到变分能量方程中,用改进的能量方程去指导曲线的演化。实验结果表明,与DRLSE模型相比,提出的算法平均消耗的时间只需要前者的2.76%,且具有较高的分割准确性。
