小高

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

Objective To study the power spectrum density of blood flow ultrasonic Doppler signal using wavelet analysis. Method Doppler signal of blood flow in human common carotid artery was studied with wavelet scalogram analysis, an affine smoothing Wigner Ville transform with a constant "Q" character. Result Wavelet scalogram of blood flow ultrasonic signal had a higher distinguishability than STFT spectrogram in the low frequency portion, but had poorer decussation terms than spectrogram.

对于平稳信号的处理工具仍然是Fourier变换，但是，在实际应用中的绝大多数信号是非平稳的，现在看来处理非平稳信号的主要工具将是小波变换，这主要是因为传统的Fourier变换分析信号时，时间和频率分辨率精度是固定不变的，而利用小波变换分析信号，在信号高频段时间分辨率精度也较高，在信号低频段频率分辨率精度较高，这很符合非平稳信号的特点。

The CC MRI findings are characterized mainly by:(1)frequently-encountered multiple circular foci during the cysticercus survival:small excentric spotty images of the mural cysticercus scolex :slightly high signs on T1WI and middle-lower signs on T2WI;lower signs on T1WI and high signs on T2WI of the capsular liquid;lower signs of the cerebrospinal fluid but relatively high signs of the capsular liquid on FLAIR;and unremarkable peripheral edema;(2)scolex disappearance,enlarged capsular cavity and remarkable peripheral edema during cysticercus degeneration and necrosis;(3)lower signs on T1WI and T2WI and peripheral edema disappearance after the focal calcification;(4)findings shown by the enhanced scanning:strengthened (24/36) or non-strengthened (12/36) cyst-wall circular images;strengthened (22/36) or non-strengthened (14/36) small intracapsular spotty images;(5)cerebral-ventricular type often occurring in the third and fourth ventricles:one case in the third ventricle (1/36) and three cases in the fourth ventricle (3/36),all of suffered from obstructive hydrocephalus;(6)hydrocephalus caused by arachnoid adhesion (2/36) in meningeal type.

结果 脑实质型18例，脑室型4例，脑膜型3例，混合型11例，主要MRI特点：(1)囊虫存活期，病灶呈圆型，多发常见，附壁囊虫头节呈偏心型小点状影，T1WI呈略高信号，T2WI呈中低信号；囊液T1WI呈低信号，T2WI呈高信号；在FLAIR上脑脊液呈低信号，而囊液呈相对高信号；周围水肿不明显。(2)囊虫退变坏死期，头节消失，囊腔扩大，周围水肿明显。(3)病灶钙化后，T1WI及T2WI均呈低信号，周围水肿消失。(4)增强扫描表现为：囊壁环状增强(24/36)，或不增强(12/36)；囊内小点状影增强(22/36)，或不增强(14/36)。(5)脑室型：常发生于第三、四脑室，其中第三脑室1例(1/36)，第四脑室3例(3/36)，均引起阻塞性脑积水。(6)脑膜型：因蛛网膜粘连，而引起脑积水(2/36)。

Firstly, the two parts are solved separately, and the results are then coupled together. Because the thickness of the combustion reaction zone at high Re and Da numbers is less than the turbulent diffusion scale in diesel engines, the flame is extremely thin, its micro-structure keeps the laminar structure, so the turbulent flame can be regard as the ensemble of locally one dimensional, thin laminar flamelet embedded within the turbulent flow field.

由于柴油机中在高雷诺数和高Damkoeler数的情况下，燃烧反应区厚度小于湍流耗散尺度，火焰极薄，其微元保持层流结构，因此，湍流火焰可视为嵌入湍流流场内局部具有一维结构的薄的层流小火焰的系综，这便构成了层流小火焰模型主导思想，同时也使层流小火焰模型模拟柴油机湍流燃烧过程成为可能。

The basal diameter, height of aerial stem, leaf length at middle stem, leaf width at middle stem, internode length at middle stem, internodes number and panicle length of 30 plants from every population were recorded. The statistics of morphological characters showed that the distribution trends of the averages of morphological characters are similar among populations. However, the coefficients of variation within population of 7 morphological characters were very different. The CV of internodes was largest and the CV of height was smallest within population. F-statistics showed that the differences of all morphological characters among populations were significant (P.01). But the differences among populations were different between different groups. The cluster analysis proved that all populations could be divided into three types: salty reed, freshwater reed and giant reed.

对来自每个种群的30个个体的基径、株高、中部叶长、中部叶宽、中部节间长、节间数、穗长7个形态特征的统计分析表明：各形态特征平均值在种群间的分布趋势相似，但变化幅度不同，株高、叶长等营养特征变化较大大，生殖特征穗长的变化较小；7个形态指标在种群内的平均变异度从大到小依次为中部节间长、中部叶宽、穗长、中部叶长、基径、节间数、株高，种群内的平均形态变异度与生境异质性有关；7个形态指标在种群间均差异显著，但多重比较分析显示显著差异主要存在于BZH、淡水生境种群和盐渍化生境种群之间，在相似生境种群间的形态差异不显著；以形态特征为依据的聚类分析支持将15个种群分为三类：盐生芦苇、淡水芦苇和巨型芦苇。

Results (1) 6 cases of Tuberous Sclerosis. Diffused subependymal nodular calcification lesions were found in all cases on unenhenced CT. 4 patients are 2 pairs of mother/child relationship. Both of the two mothers are found to suffer from renal angiomyolipoma.(2)1 case of neurofibromatosis showed abnormal spinal canal: scoliosis of thoracic and lumbar spine, concave change of vertebral posterior border. Bilateral renal hypogenesis was found in this patient. Diffused hyper-density lesions were found in kidney and fatty accumulation was found in back skin.(3)6 cases of Sturge-Weber syndrome. On unenhenced CT, curving and strip-shaped calcifications were found along the parietal and occipital gyrus.

结果 ①结节性硬化6例，所有病例CT平扫见两侧脑室室管膜下多发小结节状高密度钙化灶，其中4例为两对母子关系，并见两位母亲合并有肾脏错构瘤，；②神经纤维瘤病1例，MRI表现为椎管异常，胸腰段脊柱侧弯，椎体后缘呈明显的切凹改变；伴有双肾发育不良，CT示肾内多个高密度影，背部皮肤多量脂肪堆积，③脑颜面血管瘤综合征6例， CT可见顶枕部沿脑回分布的弯曲的条状高密度钙化，部分延伸致侧脑室内，增强后见病灶内有扭曲的条状和结节状明显强化的血管影；④小脑血管瘤病4例，影像学表现为小脑内大囊、小结节样占位性病变。

This paper puts forward an image super-resolution enhancement algorithm based on wavelet transform. This algorithm makes full use of the wavelet multi-resolution transform, and embodies the natural process of decrease of image resolution; it estimates the high resolution wavelet coefficient and gets the reconstructed high resolution image by interpolation inverse transformation.

文章在研究和分析小波变换理论的基础上提出了一种基于小波变换的图像超分辨率增强算法，该算法充分利用小波多分辨率分解思想，体现图像分辨率降低的自然过程；通过估计高分辨率小波系数，经插值逆变换可得到重构的高分辨率图像。

In this theory, we firstly introduce the basic theory of discrete wavelet transform and lifting scheme. Secondly, we adopt a fully pipelining VLSI architecture for lifting-based DWT. Hence, we can operate on higher working frequency. Besides, we merge a QCB-based DWT method to achieve the higher parallelism for JPEG 2000 encoding system. By changing the output timing of the DWT process, the internal tile memory size can be reduced by a factor of 4. Moreover, the architecture can efficiently perform shape-adaptive DWT and solve boundary extension and subsampling problems. Finally, according to the comparison results with other architectures, the efficiency of proposed architecture is proven.

在这篇论文中，首先我们介绍离散小波转换和提升式架构的基本理论，接下来我们改良提升式架构采用全管线化的硬体架构，因此我们可以操作在较高的工作频率，并且我们合并了以四个编码方块为基础的方式来使得JPEG 2000编码系统具有更高的平行度，藉著改变离散小波转换的输出时序，内部的记体体需求可以减少为原本的四分之一，接著此架构也可以有效地支援可适应形状的离散小波转换，同时解决了边界延伸和子取样的问题，最后根据与其他架构比较的结果，来说明所提出之离散小波转换架构的贡献。

The results show, under the long-trem influence of different farming behaviors, the soil, collected from dry-land in low multiple crop index to dry-land in high multiple crop index to composite-land in high multiple crop index, decease in bult density, clay content, total P and activities of catalaes and increase in organic matter, humic acid contents, nitogen, available nitrogen, phosphorus, potassium, soi breathe intensity and urease, phosphatase, protease active content.

选择贵州中部喀斯特山区普定县猫洞小流域地区，通过长期受不同生产行为影响的区域（低复种旱作区、高复种旱作区、高复种复合农作区）的土壤采样分析，结果表明：喀斯特山区小流域土壤在长期不同生产行为影响下，从低复种指数旱作区、高复种指数旱作区到高复种指数复合农作区，土壤容重、粘粒含量减小，而土壤有机质、腐殖酸含量、全氮、碱解氮、速效磷、速效钾、土壤呼吸强度、脲酶、磷酸酶、蛋白酶活性含量依次增大，土壤全钾含量和过氧化氢酶活性却依次减小。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失