A Level-Set Method for Computing the Eigenvalues of Elliptic Operators Defined on Compact Hypersurfaces

We demonstrate, through separation of variables and estimates from the semi-classical analysis of the Schrödinger operator, that the eigenvalues of an elliptic operator defined on a compact hypersurface in ? ⁿ can be found by solving an elliptic eigenvalue problem in a bounded domain Ω?? ⁿ . The latter problem is solved using standard finite element methods on the Cartesian grid. We also discuss the application of these ideas to solving evolution equations on surfaces, including a new proof of a result due to Greer (J. Sci. Comput. 29(3):321–351, 2006).     

Stability of iterative processes with errors for a system of nonlinear -accretive variational inclusions in Banach spaces

In this paper, by using the concept of (A,η)-accretive mappings and the new resolvent operator technique associated with (A,η)-accretive mappings, we introduce and study a system of general mixed quasivariational inclusions involving (A,η)-accretive mappings in Banach spaces, and construct a new perturbed iterative algorithm with mixed errors for this system of nonlinear (A,η)-accretive variational inclusions in q-uniformly smooth Banach spaces. Our results improve and generalize the corresponding results of recent works.     

The Strong Property of Morphological Connected Alternated Filters

This paper studies connectivity aspects that arise in image operators that process connected components. The focus is on morphological image analysis (i.e., on increasing image operators) and, in particular, on a robustness property satisfied by certain morphological filters that is denominated the strong property. The behavior of alternated compositions of openings and closings is investigated under certain assumptions, particularly connectedness and a connected component preserving condition. It is shown that these conditions cannot in general guarantee the strong property of certain connected alternated filters because of issues related to the locality of the filters. As treated in the paper, there have been a series of misunderstandings in the literature concerning this topic, and it is important to clarify them. The root cause of those problems is discussed, and a solution is indicated. The class of connected openings and closings used to build connected alternated filters should therefore be defined to avoid such situations, since the strong property of alternated filters should be a distinctive characteristic of this class.

Classification of Fuzzy Mathematical Morphologies Based on Concepts of Inclusion Measure and Duality

Mathematical morphology was originally conceived as a set theoretic approach for the processing of binary images. Extensions of classical binary morphology to gray-scale morphology include approaches based on fuzzy set theory. This paper discusses and compares several well-known and new approaches towards gray-scale and fuzzy mathematical morphology. We show in particular that a certain approach to fuzzy mathematical morphology ultimately depends on the choice of a fuzzy inclusion measure and on a notion of duality. This fact gives rise to a clearly defined scheme for classifying fuzzy mathematical morphologies. The umbra and the level set approach, an extension of the threshold approach to gray-scale mathematical morphology, can also be embedded in this scheme since they can be identified with certain fuzzy approaches.

基于单亲遗传算法和导向算子的图像分形编码

基于图像的近距自相似性,用一种采用实数编码的单亲遗传算法完成图像分形压缩中的最优码本匹配,针对含有边缘的Range块的匹配,通过一个导向算子使边缘R块的最优匹配搜索沿着图像的边缘进行。实验结果表明,相对于基本分形压缩算法,在基本保证解码图像主观质量的前提下,该方法的速度提高了约60倍。     

基于蚁群算法的XML概率查询策略与算法优化

针对XML数据半结构化的特点及概率查询理论,结合蚁群算法,提出添加杂交算子和更新信息素的方法,该方法不仅能动态选择数据查询方向,而且能避免无效查询,扩大数据查询范围,提高收缩效率。模拟测试证明了该方法能优化XML查询。     

平均曲率运动的三种实现方案的比较研究

讨论了曲率运动演化方程的三种数值方案:离散中值滤波方案、显式水平集方案和半隐式水平集方案的原理与算法,并对它们的效率、精度以及旋转不变性等性能进行了对比实验研究.结果表明,半隐式加性算子分裂(AOS)算法相对于另两种方案性能上明显占优.     

支持向量机序贯最小优化算法推导的改进

已有文献中的支持向量机SMO算法推导过程计算复杂,该文给出一个简洁推导。整个推导过程没有复杂的计算,除了误差函数外,不需引入其它中间变量。     

嵌入式GPS／GIS系统设计的几个关键问题及解决方法

提出嵌入式GPS/GIS系统设计中的几个关键技术问题并给出解决方案。对GPS数据质量采用神经元辨识的方法进行控制;对大数据量底图数据采用一种新的地图综合方法建立多级显示机制,节省内存,提高图形显示效率;建立基于la-bel的空间算子实现方式,完成采集图斑的现场变更,减少内业数据处理的工作量。实际应用表明,这些方法能够满足嵌入式GPS/GIS系统应用于土地调查业务的需要,提高了调查效率。     

Delta算子描述的离散系统故障检测滤波器

研究基于Delta算子模型的离散时间系统故障检测问题.推导了Delta算子系统的故障可检测和可分离条件,给出了Delta算子模型的故障检测滤波器设计方法.研究表明,在采样周期很小时,Delta算子故障检测趋近于连续模型的相应结果,可统一处理连续系统和离散系统故障检测的相关问题.仿真实例验证了该方法的有效性.