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1.After discussing the definition, the basic operations, the representation of Rodrigues-Hamilton parameters and transform operator of quaternion, standard quaternion is defined in this paper.
在讨论四元数及其基本运算、Rodrigues-Hamilton参数表示的四元数和四元数变换算子的基础上,给出了标准四元数的定义。收藏指正
2.Therefore one of the most common problems encountered in gravity data studies is how to separate each anomaly. The wavelet transform operator has recently been introduced in the domain of potential fields both as a filtering and as a source-analysis tool. Here we study the ability of improving resolution gravity anomaly based on wavelet analysis and power spectrum analysis.
重力数据是所有地下场源产生的重力场的叠加,探测对象经常被淹没在区域背景场之中,因此剩余异常的分离对于重力资料研究至关重要,而近来被引入位场领域的小波算子作为了滤波器和场源分析工具,在这里我们分析研究基于小波分析与谱分析的二维离散小波变换用于提高重力异常的分辨能力,再现出由简单形状场源描述密度不均匀的几何特征.收藏指正
3.Digital Image Detection and Recognition System Based on Wavelet Transform and CIP Operator
基于小波变换与CIP算子的数字图像检测和识别系统收藏指正
4.Three algorithms of detecting dim target in infrared image with low signal-to-noise ratio according to the differences among dim target, background interference and noise are studied: wavelet transform, mathematical morphology, Top—hat operator. Processed images and corresponding data are also given respectively.
根据弱小目标、背景干扰和噪声在红外图像中的差异,研究了三种低信噪比条件下红外图像中弱小目标的检测算法:小波变换、数学形态学、Top—hat算子,分别给出了处理的图像和相应的数据。收藏指正
5.Based on the analysis of the characteristics of synthetic aperture radar (SAR) images, this paper puts forward a combined method for edge detection of SAR images, which is composed of wavelet transform, median filtef, adaptive thresholding and differential gradient operator.
针对合成孔径雷达（SAR）图像的特点，利用小波变换的高频分量能反映边沿细节的特性，提出了一种结合小波变换、中值滤波、自适应门限判决和微分梯度算子的边沿检测方法。收藏指正
6.1. Since 2-band interpolating wavelet transform has the advantage that waveletseries transform coefficient is same as binary uniform samples in multiresolutionsubspace, Prefilter operator of signal in some scaling space is simplified to one.
1. 由于 2 带插值子波变换具有多分辨子空间信号的子波级数变换(WST)系数与其 2 进均匀采样点的值严格一致的优点，因此，使在某个尺度空间上的信号的预滤波算子简化为 1，这时，变换域中的系数是真实的对应层的子波系数，反映了原信号的特性。收藏指正
7.In chapter 2, we discuss the boundedness of commutators of Riesz transform on the L~p(R~n) space which is generated by operator associated with Schrodinger and BMO functions associated with Schrodinger operator.
第二章主要讨论薛定谔算子相关的算子和与之相关的BMO函数生成的交换子L~p有界性问题。收藏指正
8.The cubic B-spline smoothing filter operator to perform multi-scale filtering was designed using the characteristics of wavelet transform.
摘要利用小波变换的特点，设计了3次B样条平滑滤波算子。收藏指正
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