河北工程大学毕业设计（论文）摘要信息论是人们在长期通信实践活动中，由通信技术与概率论、随机过程、数理统计等学科相结合而逐步发展起来的一门新兴交叉学科。而熵是信息论中事件出现概率的不确定性的量度，能有效反映事件包含的信息。随着科学技术，特别是信息技术的迅猛发展，信息理论在通信领域中发挥了越来越重要的作用，由于信息理论解决问题的思路和方法独特、新颖和有效，信息论已渗透到其他科学领域。随着计算机技术和数学理论的不断发展，人工智能、神经网络、遗传算法、模糊理论的不断完善，信息理论的应用越来越广泛。在图像处理研究中，信息熵也越来越受到关注。为了寻找快速有效的图像处理方法，信息理论越来越多地渗透到图像处理技术中。本文通过进一步探讨概论率中熵的概念，分析其在图像处理中的应用，通过概念的分析理解，详细讨论其在图像处理的各个方面：如图像分割、图像配准、人脸识别，特征检测等的应用。本文介绍了信息熵在图像处理中的应用，总结了一些基于熵的基本概念，互信息的定义。并给出了信息熵在图像处理特别是图像分割和图像配准中的应用，最后实现了信息熵在图像配准中的方法。关键词：信息熵，互信息，图像分割，图像配准AbstractInformationtheoryisanewinterdisciplinarysubjectdevelopedinpeoplelong-termcommunicationpractice,combiningwithcommunicationtechnology,theoryofprobability,stochasticprocesses,andmathematicalstatistics.Entropyisameasureoftheuncertaintythe1河北工程大学毕业设计（论文）probabilityoftheoccurrenceoftheeventintheinformationtheory,itcaneffectivelyreflecttheinformationeventcontains.Withthedevelopmentofscienceandtechnology,especiallytherapiddevelopmentofinformationtechnology,informationtheoryhasplayedamoreandmoreimportantroleinthecommunicationfield,becausetheideasandmethodstosolvetheproblemofinformationtheoryisunique,novelandeffective,informationtheoryhaspenetratedintootherareasofscience.Withthedevelopmentofcomputertechnologyandmathematicaltheory,continuousimprovementofartificialintelligence,neuralnetwork,geneticalgorithm,fuzzytheory,therearemoreandmoreextensiveapplicationsofinformationtheory.Intheresearchofimageprocessing,theinformationentropyhasattractedmoreandmoreattention.Inordertofindthefastandeffectiveimageprocessingmethod,informationtheoryisusedmoreandmorefrequentlyintheimageprocessingtechnology.Inthispaper,throughthefurtherdiscussiononconceptofentropy,analyzesitsapplicationinimageprocessing,suchasimagesegmentation,imageregistration,facerecognition,featuredetectionetc.Thispaperintroducestheapplicationofinformationentropyinimageprocessing,summarizessomebasicconceptsbasedonthedefinitionofentropy,mutualinformation.Andtheinformationentropyofimageprocessingespeciallyforimagesegmentationandimageregistration.Finallyrealizetheinformationentropyinimageregistration.Keywords：Informationentropy,Mutualinformation,Imagesegmentation,Imageregistration目录摘要.........................................................................................................................................1ABSTRACT..............................................................................................................................2目录.......................................................................................................................................31引言.........................................................................................................................................51.1信息熵的概念......................................................................................................
