基于拓扑导数的复扩散在图像去噪及边缘提取中的应用

提出了基于拓扑导数的非线性复扩散用于图像去噪及边缘提取的一种算法.由于线性扩散会使图像边缘模糊,基于拓扑优化思想,对每个像素点的线性复扩散系数扰动,使得拓扑导数最小的扩散系数为最优.文中选取的扩散系数具有各向异性的特性,从而克服了Perona-Malik的各向同性扩散系数不利于去除边缘噪声的缺陷,选择拓扑导数足够小的像素点,对这些像素点用最优扩散系数进行扩散.文中给出了使算法迭代终止的判据.实验证明,与Guy Gilboa的非线性复扩散相比,本文方法对原始加噪图像处理后,实部图像体现出了更好的去噪效果,虚部图像则很好地保留了图像边缘,此外,本文方法还消除了Perona-Malik的方法对图像去噪后产生的阶梯效应.     

基于方向导数的多光谱图像快速融合新算法

针对提升小波变换的特点,研究图像融合规则,提出了一种新的基于方向导数的多分辨多光谱图像快速融合算法。首先,利用提升小波变换得到待融合源图像的多分辨分析;然后以小波域方向导数为判据,在图像的多分辨分析的相应各级上进行融合,得到融合图像的多分辨分析;最后,利用提升小波反变换重构融合图像。使用多光谱图像对算法进行验证并与方向对比度算法进行对比,结果表明,融合图像完好的融合了源图像的信息,且算法运算时间短。     

On dual-phase-lag thermoelasticity theory with memory-dependent derivative

A new mathematical model of generalized thermoelasticity with memory-dependent derivatives for the dual-phase-lag heat conduction law is constructed. The governing equations of the new model are applied to a half-space subjected to ramp-type heating. Laplace transforms technique is used. The solution is obtained for different types of functions representing the thermal shock and for different values of the parameter of the time fraction derivative of the model. The effects of time-delay and arbitrary kernel function on elastic material are studied and represented graphically. The predictions of the theory are discussed and compared with dynamic classical coupled theory.     

二甲基硅油 C-Si 伸缩振动模式红外光谱研究

在303~393 K温度范围内,采用变温傅里叶变换衰减全反射红外光谱技术(ATR-FTIR)研究了二甲基硅油的一维红外光谱、二阶导数红外光谱、四阶导数红外光谱和去卷积红外光谱。实验发现,在1800~600 cm~(-1)范围内,二甲基硅油主要存在CH_3伸缩振动模式(νCH_3)、CH_3变形振动模式(δCH_3)、CH_3摇摆振动模式(ρCH_3)、Si-O伸缩振动模式(νSi-O)和Si-C伸缩振动式(νSi-C)等5种红外吸收模式,其中782 cm~(-1)和789 cm~(-1)处的红外吸收峰归属于二甲基硅油νSi-C。以二甲基硅油νSi-C为研究对象,进一步开展相关二维红外光谱的研究。结果发现,随着测定温度的升高,二甲基硅油νSi-C红外吸收强度的变化快慢顺序为:789 cm~(-1)782 cm~(-1)。本项研究拓展了ATR-FTIR技术在二甲基硅油热变性方面的研究范围。     

Topological derivative-based technique for imaging thin inhomogeneities with few incident directions

Many non-iterative imaging algorithms require a large number of incident directions. Topological derivative-based imaging techniques can alleviate this problem, but lacks a theoretical background and a definite means of selecting the optimal incident directions. In this paper, we rigorously analyse the mathematical structure of a topological derivative imaging function, confirm why a small number of incident directions is sufficient, and explore the optimal configuration of these directions. To this end, we represent the topological derivative-based imaging function as an infinite series of Bessel functions of integer order of the first kind. Our analysis is supported by the results of numerical simulations.     

含参量分数阶微分系统的基本分岔分析

本文中,我们讨论了含参量分数阶微分系统的基本分岔,即跨临界分岔、折叠分岔与音叉分岔.首先,根据分数阶Lyapunov方法,讨论了含参量分数阶微分系统的稳定性,并给出了这些基本分岔的相图.其次,根据Taylor展式与隐函数定理,研究了分数阶微分系统的规范形,从而求出这些基本分岔的拓扑规范形.     

Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions

Two numerical techniques are presented for solving the solution of Riccati differential equation. These methods use the cubic B-spline scaling functions and Chebyshev cardinal functions. The methods consist of expanding the required approximate solution as the elements of cubic B-spline scaling function or Chebyshev cardinal functions. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the new techniques. The methods are easy to implement and produce very accurate results.     

动漫衍生品数字展厅的设计与实现

该文阐述了构建动漫衍生品数字展厅的基础理论与研究思路,并在设计实践的基础上提出将视觉要素与数字技术相结合的设计流程与实现方法,开发出一个动漫衍生品的多功能网络展示平台,以此作为虚拟现实技术在动漫领域应用的初步尝试,并提出其潜在应用对象与发展前景。     

不同油蒿树势的光谱分析

以宁夏灵武油蒿主要分布区为研究地,野外调查并获取了健康及受钻蛀性害虫危害后油蒿冠层光谱的反射率,并应用一阶微分方法处理光谱反射率进行研究。研究表明,健康油蒿受到钻蛀性害虫危害后,具有明显的＂红边＂蓝移现象,同时,利用高光谱数据监测虫害发生是可行的,而且对植株本身不造成任何伤害。该研究为荒漠灌木林是否可利用高光谱数据来进行钻蛀性害虫监测提供了基础。     

Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators

In this paper, we prove the existence of solutions of fractional integrodifferential equations by using the resolvent operators and fixed point theorem. An example is given to illustrate the abstract results.