On the invariant translation approximation property for discrete groups

Recently J.Roe considered the question of whether for a discrete group the reduced group -algebra is the fixed point algebra of Ad acting on the uniform Roe algebra . is said to have the invariant translation approximation property in this case. We consider a slight generalization of this property which, for exact , is equivalent to the operator space approximation property of . We also give a new characterization of exactness and a short proof of the equivalence of exactness of and exactness of for discrete groups.

     

基于Land实验的可见红外伪彩色图像融合方法

由Land在研究人类视觉颜色恒定性现象时从所做的某个实验出发,通过对该实验中所用红、绿色滤波片的理想化假设以及光源的等能分布假设,并建立红外图像与红色透明片、可见光图像与绿色透明片的对应关系,得到Land实验启发下的新的伪彩色融合算法。通过与Toet伪彩色融合算法的结果比较,说明了该方法的有效性。进而借鉴Toet算法中强调图像特有成分的思想,使本算法输出更丰富、更逼近真实景物的色彩。     

半色调荧光图像的光谱反射与透射模型

荧光油墨半色调印刷品的显色预测规律是彩色成像领域内十分关键的课题。把荧光半色调印刷品反射出来的光分成两个独立的部分,即由最初入射光组成的主光流和由于吸收了主光流而产生的荧光流;并且采用了一个指数矩阵来描述墨层产生的荧光光强,从而得出了荧光半色调图像色彩的光反射规律。考虑到入射光中从一种颜色油墨入射后再由同色油墨出射的概率要比从其它色油墨出射的概率要大的事实,讨论中引入权重因子描述从同色油墨出射部分与从整个表面出射部分比例不同的现象,建立了荧光油墨半色调图像的Clapper-Yule新光谱反射率模型。     

一种多视点视频自动颜色校正系统

针对多视点视频系统中视点间图像颜色不一致的问题,提出了一种多视点视频自动颜色校正系统。通过求取目标图像和源图像间的颜色校正矩阵,判断其是否满足全局校正的要求;对不满足要求的图像,通过图像分割和K-L变换(Karhunen-Loeve transform),建立起目标图像和源图像中各分割区域间的局部映射关系,并通过感兴趣区域匹配,来实现对源图像的校正,最后通过视频跟踪技术实现对视频图像的校正。以标准的多视点测试图像集为例,通过将新方法与直方图匹配、全局一维线性校正算法等进行比较,表明新方法能消除匹配失真的影响,且具有较好的颜色校正效果。研究结果表明该系统可以很好地揭示图像间的颜色变化关系,并且具有很好的内容自适应性,是一种有效的多视点视频图像系统颜色校正方法。     

基于彩色扫描仪的图像光谱重构

针对彩色扫描仪的特点,采用主元分析法(PCA)和反向传播(BP)人工神经网络(ANN)相结合的方法对图像光谱重构进行研究。选择IT8.7/2标准色卡作为训练样本,将该色卡中的另一组色靶作为检验样本以讨论不同网络结构以及不同主元数和训练样本数对光谱重构的影响,再以自然色系统(NCS)色卡为检验样本来分析不同种类的训练和检验样本与光谱重构性能的关系。实验结果表明,采用3-14-6网络结构和6个主元数是最佳选择,训练样本和扫描目标之间的一致性是基于彩色扫描仪图像光谱重构的关键所在。     

孟塞尔色序系统与CIE1931标准色度系统转换新算法

孟塞尔色序系统到CIE标准色度系统的自动转换在颜色和视觉领域是一个很重要的课题.提出了一种基于等色调线和等彩度线插值的新算法,实现孟塞尔色序系统与CIE1931标准色度系统之间颜色的相互转换.实验测试表明,由孟塞尔系统到CIE色度系统的正向转换准确度为ΔY=0.004,Δx=0.000 13,Δy=0.000 13,由CIE色度系统到孟塞尔系统的反向转换准确度达到了ΔV ≈0,ΔH=0.017 5,ΔC=0.013.     

汽配件颜色喷涂顺序问题的TSP转化与建模

汽配件颜色喷涂顺序问题通常以生产线上相邻汽配件颜色切换次数少为最优目标,以进一步降低生产成本.该类问题具有所有汽配件都必须喷涂一次且只喷涂一次的特点,为此提出了TSP转化与建模的方法.将待喷涂汽配件定义为TSP顶点,任意两个待喷涂汽配件的颜色切换定义为顶点的距离,仿照TSP问题构建0-1规划模型;类似于顶点距离,将某些...     

Second graders articulating ideas about linear functional relationships

In this paper, we explore the ideas that second grade students articulate about functional relationships. We adopt a function-based approach to introduce elementary school children to algebraic content. We present results from a design-based research study carried out with 21 second-grade students (approximately 7 years of age). We focus on a lesson from our classroom teaching experiment in which the students were working on a problem that involved a linear functional relationship (y = 2x). From the analysis of students’ written work and classroom video, we illustrate two different approaches that students adopt to express the relationship between two quantities. Students show fluency recontextualizing the problem posed, moving between extra-mathematical and intra-mathematical contexts.     

Conversion from n bands color space to HSI n color space

This paper presents the method to get the equations that transform a color space of n independent primary colors to the HIS _n color system (H: hue, S: saturation, I: intensity); n indicates the number of bands and the shape of the HIS _n space. For n = 3 the structure is a double triangular pyramid, for n 4 it is the structure of the double pyramid tetrangular, and so on.