Now , recall that a class fof groups is a formation if it is closed under homomorphic images and subdirect products ) u 。我们知道所谓群系，是一个关于同态像闭的和次直积闭的群类。
2.
Besides , homomorphic filtering was introduced into the contrast enhancement of the radiographic image with scattering noise 此外，针对射线图像的散射噪声，提出用同态滤波的方法实现对比度增强。
3.
Considering the dominance on image processing of fuzzy sets , a method to enhance infrared image by homomorphic filtering in fuzzy field is designed 摘要结合模糊集理论在图像处理方面的优势，设计了一种红外图像模糊域同态增强方案。
4.
The first step , the infrared imageconverted from spatial domain to fuzzy field , then itenhanced by homomorphic filtering , at last , the processed image is obtained 该方案首先将红外图像由空域平面转换成模糊域（特征）平面，然后再对其进行同态增强，最终经去模糊得到处理后的图像。
5.
In first section , the concept of pseudo ideal is raised . then , we discuss the relations of pseudo ideals , kernel of homomorphisms and congruences on a division semiring . and the homomorphic basic theorem , the first and the second isomorphic theorems are proved 第一部分，引入伪理想这一新概念，讨论了伪理想，同态核，同余在可除半环中的关系，证明了同态基本定理及第一、二同构定理
6.
Some methods for overcoming these disadvantages are investigated as follows : first , using shield and magnetic circuit to shorten the sensor length and enhance the signal magnitude ; second , improving the data acquisition system to intensify the capability of fine defect detection ; at last , adopting digital signal processing technology such as homomorphic filter , wavelet transform and error correction to ensure detecting reliability 本文结合有限元仿真和实验方法，研究了改进远场涡流技术性能的几种方法，即：采用电磁屏蔽、磁路进行传感器优化设计以缩短探头长度、增大信号强度；改进信号调理电路以提高细微缺陷检出能力；利用同态滤波、小波变换以及误差修正等数字信号处理技术确保检测结果的可靠性。
7.
Primula merriiliana is a small plant of biennial , rosette herbs with pinnately dissected leaves . the flowers are borne on leafless scapes in umbellate inflorescences , which are arranged in the form of 1 - 3 level of the umbels . they are often heterostylous , whereas p . cicutarrifolia is different from the former in having homomorphic flowers , one level of umbel , and the eroded tepals 安徽羽叶报春为具异型花、花序1 - 3层，叶羽状深裂的二年生小草本植物，毛茛叶报春为具同型花、伞形花序1层、叶羽状深裂的二年生小草本植物，两物种都在第一年八月开始萌发幼苗，第二年七月结束其生活史。
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How to realize it is the necessary stage of bind restoration of remote sense image processing . this paper introduces a way to remove the effects of cloud by frequency transform . here , information of cloud cover is removed by high - pass filtering and information of background is enhanced by homomorphic filtering and spatial - frequency analysis 本文结合中巴资源卫星地面应用系统图像应用处理分系统“课题的需要，采用数字图像变换的方法来去除无辅助信息的遥感图像薄云覆盖，通过对薄云覆盖的遥感图像进行变换域处理，进行高通滤波去除云覆盖所在的低频信息，通过同态滤波并对图像进行空频分析来增强图像背景。
9.
Furthermore , we define a star semimodule and a star subsemimodule ( a subset of m with absorbing property for the operations " + " , " o " ) . based on this , we introduce star congruences and discuss the homomorphic theorem and some properties of star subsemimodules of m about semimodule homomorphisms . in the end , we construct the free star semimodule over a semiring with a unit 进一步地，我们定义了星半模以及对“ + ”和“ ”都具有吸收性的半模m的子集? ?星子半模，在此基础上我们引入了半模的星同态和星半模同态以及星同余等概念，讨论了半模的同态定理以及星子半模关于半模同态的一些性质
10.
First , the reflectance at symmetric points on face surface are estimated by symmetry of human face using two face images under known illumination . then face images in different illumination are generated by the reflectance . illumination normalization is implemented using homomorphic filtering and amendment based on symmetry for both testing and synthesized images 基于人脸的对称特性,用两幅已知光照条件的人脸图像估计图像每点的反射特性,继而合成不同光照条件下的人脸图像;设计了同态滤波与对称关系修正相结合的光照校正算法,对人脸图像进行光照校正,以改善光照变化对图像的影响;基于校正后的人脸图像完成人脸识别。
