基于Lp范数的局部自适应偏微分方程图像恢复

提出了一种新的基于Lp范数的自适应偏微分方程图像处理模型, 改进了Tony Chan的TV变分模型和张红英的p-Laplace模型. TV模型对图像采用全局约束, 而新的扩散方程在图像不同的位置上采用不同的约束, 具有局部自适应的特性, 在扩散的同时更好地保持了图像的边缘信息, 进而将其应用到图像恢复(去噪, 去除模糊)中去. 实验结果表明新模型的综合性能优于Tony Chan和张等现有的模型.     

基于Lp范数的局部自适应偏微分方程图像恢复

提出了一种新的基于L_p范数的自适应偏微分方程图像处理模型,改进了Tony Chan的TV变分模型和张红英的p-Laplace模型.TV模型对图像采用全局约束,而新的扩散方程在图像不同的位置上采用不同的约束,具有局部自适应的特性,在扩散的同时更好地保持了图像的边缘信息,进而将其应用到图像恢复(去噪,去除模糊)中去.实验结果表明新模型的综合性能优于Tony Chan和张等现有的模型.     

基于方向场的指纹图像偏微分方程修补模型

提出一个用于指纹图像修复的新的偏微分方程(PDE)模型,该模型对指纹图像的缺损区域能进行有效的修补。通过分析比较现有的技术方案对指纹图像修补的不足:一般常见的图像修复模型由于缺乏方向场的几何信息,对于指纹图像,这些模型不能给出满意的修补结果;或者虽然引入了方向场的几何信息,但在具体修补时会出现将不同的脊线连到一起不同的错误结果。该模型采用方向场作为扩散方向,在扩散过程中灰度信息沿着表征脊线方向的局部固定方向传播到待修复区域中, 改进了一般PDE模型不能用于修复指纹图像的不足。数值实验结果表明在修复指纹图像时提出的模型优于一般的模型     

自适应耦合方向扩散和冲击滤波的图像放大

提出一种新的基于偏微分方程（PDE）的图像放大算法。算法模型由方向扩散、保真项和冲击滤波构成。通过设置与边缘信息有关的保真项系数,调节图像被模糊的程度,保留图像特征;综合调节扩散方程和冲击滤波的权重,实现两种PDE的自适应耦合。由于运用连续函数,结合图像内容调节两种PDE的权重,避免了在放大时出现人工痕迹。实验结果表明,此算法在客观指标和主观效果上均优于传统双线性插值和其他同类方法,是一种有效的图像放大算法。     

基于多重网格的遥感影像融合方法研究

目前常用的遥感影像融合方法大都从离散角度出发,一定程度上失去图像本身的物理意义,得到图像的质量不高。本文从连续图像出发,将二阶偏微分算子应用于影像函数,利用多重网格算子能得到近似影像的性质,得出一种多分辨影像分解的方法,经过图像重建过程得到融合影像。试验表明本融合方法可应用于遥感影像融合。     

基于偏微分方程解析求解的图像矢量化方法

该文提出了一种利用偏微分方程解析求解进行图像矢量化的方法.借助椭圆偏微分方程,提取图像的轮廓线作为边界条件,用解析方法高效地计算偏微分方程的解,从而重构整个图像.该方法简单易行、速度快,效果良好.     

基于PDE图像去噪方法

基于PDE的非线性扩散滤波对接近高斯分布的噪声消除可取得好的效果，但对于脉冲噪声其效果并不理想。从Perona&Malik模型的扩散系数函数出发，对其函数性质进行分析。通过改进扩散系数函数中的边缘阈值，使其能在消除高梯度图像噪声的同时更好地保持边缘，在一定程序上克服了边缘保持与噪声消除之间的矛盾。     

The Complexity and Multiplicity of the Specific cAMP Phosphodiesterase Family: PDE4, Open New Adapted Therapeutic Approaches

Cyclic nucleotides (cAMP, cGMP) play a major role in normal and pathologic signaling. Beyond receptors, cyclic nucleotide phosphodiesterases; (PDEs) rapidly convert the cyclic nucleotide in its respective 5′-nucleotide to control intracellular cAMP and/or cGMP levels to maintain a normal physiological state. However, in many pathologies, dysregulations of various PDEs (PDE1-PDE11) contribute mainly to organs and tissue failures related to uncontrolled phosphorylation cascade. Among these, PDE4 represents the greatest family, since it is constituted by 4 genes with multiple variants differently distributed at tissue, cellular and subcellular levels, allowing different fine-tuned regulations. Since the 1980s, pharmaceutical companies have developed PDE4 inhibitors (PDE4-I) to overcome cardiovascular diseases. Since, they have encountered many undesired problems, (emesis), they focused their research on other PDEs. Today, increases in the knowledge of complex PDE4 regulations in various tissues and pathologies, and the evolution in drug design, resulted in a renewal of PDE4-I development. The present review describes the recent PDE4-I development targeting cardiovascular diseases, obesity, diabetes, ulcerative colitis, and Crohn’s disease, malignancies, fatty liver disease, osteoporosis, depression, as well as COVID-19. Today, the direct therapeutic approach of PDE4 is extended by developing allosteric inhibitors and protein/protein interactions allowing to act on the PDE interactome.     

Robust adaptive boundary control of a flexible marine riser with vessel dynamics

In this paper, robust adaptive boundary control for a flexible marine riser with vessel dynamics is developed to suppress the riser’s vibration. To provide an accurate and concise representation of the riser’s dynamic behavior, the flexible marine riser with vessel dynamics is described by a distributed parameter system with a partial differential equation (PDE) and four ordinary differential equations (ODEs). Boundary control is proposed at the top boundary of the riser based on Lyapunov’s direct method to regulate the riser’s vibration. Adaptive control is designed when the system parametric uncertainty exists. With the proposed robust adaptive boundary control, uniform boundedness under the ocean current disturbance can be achieved. The proposed control is implementable with actual instrumentation since all the required signals in the control can be measured by sensors or calculated by a backward difference algorithm. The state of the system is proven to converge to a small neighborhood of zero by appropriately choosing design parameters. Simulations are provided to illustrate the applicability and effectiveness of the proposed control.     

热辐射下木材的热解与着火特性

在大量的实验基础之上,深入分析了木材热解与着火过程的机理及其中的物理与化学变化,建立了考虑水分蒸发以及表面辐射与对流热损失影响的一维湿木热解与着火微分模型。模型对木材热解与着火过程中的温度变化、失重以及着火时间进行了预测,且预测值与实验值吻合得较好,最后分别将该微分模型、一个经典的热解与着火积分模型的预测值与实验值对比,发现考虑热解与着火过程复杂物理与化学变化的微分模型的预测结果与实验结果吻合较好。