图像模型

First, a Gaussian distribution model for image pixel＇is proposed.

首先建立图像每一像素点的高斯分布模型，并根据图像序列中的当前帧及历史帧信息自适应地调整模型的参数。

The Gauss model of point target image irradiance and the calculation model of the infrared radiation power are established.

建立了点目标图像辐照度高斯模型和点目标图像红外辐射功率计算模型。2

First, the original image is binarized and the noise is removed to get the target area. Then the "matchstick model" is built up. This model is used to make horizontal tilt correction to the image.

首先将原图像二值化，对该区域进行去噪处理，获取目标区域，然后构建"火柴棒"模型，再采用该模型对图像进行水平倾斜矫正。

The new gray-level value natural logarithm ratio Bilateral Neighborhood filtering method can not only well restrain noise but also keep much more weak edges and details of an image, and preserve the original color transition of color images.

新的灰度值自然对数比率双边邻域滤波模型不仅保持了原有双边邻域滤波模型较好的平滑效果，而且保留了尽可能多的细节部分，同时对于彩色图像还保持了原有图像的色彩过渡。

Methods A weighted statistical model was presented to solve the problem of adaptability to deformation and tilting while detecting nonrigid image targets using a priori knowledge information and statistical knowledge-based model.

提出用于检测非刚性图像目标的一种加权统计模型，该模型含有待检测目标样本的统计值，可有效解决图像目标发生形变和倾斜情况下检测器的适应性问题。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

A general model of two phase image segmentation based on variational level set method is proposed,and the region model is based on the image general probability distribution function.

基于变分水平集方法建立了两相图像分割的通用模型，其区域模型基于图像的一般概率分布函数，通过变分方法得到水平集函数的演化方程和符合常值分布、Gauss分布及Rayleigh分布的参数估计。

First of all, modeling image by fractional-order derivative and negative Sobolev space, this paper presents a fractional-order multi-scale variation PDE model, and the proposes the adaptive parameter selection method and obtains the field and scale adaptively algorithm for SAR image denoising.

首先利用分数阶导数以及负指数Sobolev 空间对图像进行建模，建立了分数阶多尺度变分PDE 模型，然后给出了模型参数自适应选择方法，并在此基础上提出了区域、尺度自适应的SAR 图像去噪算法。

3D control of micropositioning, the environment for human-computer interaction based on the micro stereo image displaying, and microinjection are three focuses of this dissertation.The imaging models of CMO micro stereoscope and G micro stereoscope used in microvision subsystem are deduced. According to the imaging models, 3D visual servoing model based on image for micropositioning is set up. The technology of tracking and matching on the feature of image, which are relevant in visual servoing, is studied. Two arithmetic for avoiding obstacles, rolling/surrounding and curved tracking based on the depth first search, are further discussed.

在此基础上，对三维微定位控制技术、基于显微立体图像显示的人机交互操纵环境和微量注射等三个内容进行了重点研究：为了解决3D微定位问题，推导了显微视觉分系统采用的CMO型和G型体视显微镜光学成像模型，在此基础上建立了基于图像的3D显微视觉伺服定位控制模型，对视觉伺服中涉及的实时跟踪与立体匹配技术进行了研究，并进一步探讨了卷包裹法和曲线跟踪两种避障算法。

Perona and Malik developed a non-linear anisotropic diffusion model based on the equation of thermal transmission which opens a new field for research and the application of image processing.

Perona和Malik在1990年提出了基于热传导方程的非线性异向扩散模型，奠定了PDE模型用于图像处理的理论基础，开辟了一个图像处理应用研究的新领域。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。