Mathematical Methods Applied to Digital Image Processing

Yi-Hung Liu; Chung-Hao Chen; Paul C.-P. Chao

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Mathematical Methods Applied to Digital Image Processing

机译：数学方法应用于数字图像处理

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Digital image processing (DIP) is an important research area since it spans a variety of applications. Although over the past few decades there has been a rapid rise in this field, there still remain issues to address. Examples include image coding, image restoration, 3D image processing, feature extraction and analysis, moving object detection, and face recognition. To deal with these issues, the use of sophisticated and robust mathematical algorithms plays a crucial role. The aim of this special issue is to provide an opportunity for researchers to publish their latest theoretical and technological achievements in mathematical methods and their various applications related to DIP. This special issue covers topics related to the development of mathematical methods and their applications. It has a total of twenty-four high-quality papers covering various important topics in DIP, including image preprocessing, image encoding/decoding, stereo image reconstruction, dimensionality and data size reduction, and applications.

机译：由于数字图像处理（DIP）涉及多种应用，因此是一个重要的研究领域。尽管在过去的几十年中，该领域迅速崛起，但仍然有许多问题需要解决。示例包括图像编码，图像恢复，3D图像处理，特征提取和分析，运动对象检测和面部识别。为了解决这些问题，使用复杂而强大的数学算法起着至关重要的作用。本期特刊的目的是为研究人员提供发表数学方法及其与DIP相关的各种应用的最新理论和技术成就的机会。本期特刊涵盖与数学方法及其应用开发有关的主题。它共有24篇高质量的论文，涵盖了DIP中的各个重要主题，包括图像预处理，图像编码/解码，立体图像重建，降维和数据大小缩减以及应用。

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《Mathematical Problems in Engineering》 |2014年第8期|480523.1-480523.4|共4页
作者
Yi-Hung Liu; Chung-Hao Chen; Paul C.-P. Chao;
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Department of Mechanical Engineering, Chung Yuan Christian University, Chungli 32023, Taiwan;

Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, VA 23529, USA;

Department of Electrical Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan;

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1. Mathematical Methods Applied to Digital Image Processing [J] . Yi-HungLiu, Chung-HaoChen, Paul C.-P.Chao Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第3期

机译：数学方法应用于数字图像处理
2. Mathematical Methods Applied to Digital Image Processing [J] . Yi-HungLiu, Chung-HaoChen, Paul C.-P.Chao Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第3期

机译：数学方法应用于数字图像处理
3. A Special Section on Recent Research Challenges in Mathematical Methods Applied to Healthcare Informatics and Image Processing [J] . Varatharajan R., Lang Hong Jer, HameemShanavas I. Journal of Medical Imaging and Health Informatics . 2016,第8期

机译：关于近期研究挑战在数学方法中的特殊部分应用于医疗信息和图像处理
4. Several mathematical methods applied in Image Processing [C] . David D.Briske, rnBrandon T.Bestelmeyer, rnMaria Fernandez-Gimenez, ICCSE2008;International Conference on Computer Science Education . 2008

机译：图像处理中的几种数学方法
5. Watermarking schemes robust against affine attacks. Applied mathematics: An application of digital image processing in information technology. [D] . El-Ddin, Imad Muhi. 2008

机译：水印方案对仿射攻击具有鲁棒性。应用数学：数字图像处理在信息技术中的应用。
6. Validation of various adaptive threshold methods of segmentation applied to follicular lymphoma digital images stained with 33’-DiaminobenzidineHaematoxylin [O] . Anna Korzynska, Lukasz Roszkowiak, Carlos Lopez, 2013

机译：应用于33-二氨基联苯胺和苏木精染色的滤泡性淋巴瘤数字图像的各种自适应阈值分割方法的验证
7. ABSTRACT Various body parts or organs can be analysed to identify the different diseases in the human body. Fingernail analysis is one of the ways to identify disease in the human body. Nails are the body part which are farthest from the heart and therefore receive oxygen at last. As a result the nails are the first who show the symptoms of a disease in the human body. Fingernails can be easily captured for diagnosis and there are no heavy equipment or no specific conditions required to use nail image for disease diagnosis, like in other tests and scanning processes. Human nails deliver beneficial information about complaints or any nutritive imbalances in the human body depending upon their shape, texture and colour. In human beings, numerous systemic and skin diseases can be easily analyzed through careful examination of nails of both the limbs. A lot of nail illnesses have been found to be primary signs of numerous underlying systemic illnesses. The colour, texture or shape changes in nails are signs of many diseases mainly affecting nails. Considering all these properties of nails a system is proposed that uses digital image processing (DIP) methods for identifying such changes in the human nail to get more precise results and predict numerous diseases effortlessly. With the emerging Internet of Things (IOT) concept the generated report is made available remotely, this will help users to reduce transportation efforts. As the system has to deal with large and private data, the security of data must be ensured. To keep the data confidential, the Blockchain concept which is one of the most emerging concepts in the field of data management is used. The paper contains the implementation of the digital image processing for feature extraction of nail images, usage of IOT (ThingSpeak cloud) for data storage and implementation of Blockchain to keep the system secured and theft free. KEY WORDS: Int ernet of thin gs (IOT), Image proc essin g, Thin gSpeak, RG B vavalues, Mean pi xel vavalues, Bloc kchain , Hash key. Disease Diagnostic System: Abnormalities in Human Nail [O] . Pranav S. Wazarkar 2020

机译：摘要的各个身体部位或器官可被分析以识别在人体内的不同的疾病。指甲分析来识别人体疾病的方法之一。指甲是身体一部分是离心脏最远，因此在最后接受氧气。作为结果，指甲是第一谁表现出人体疾病的症状。指甲可以容易地捕获用于诊断和没有重装或需要使用指甲图像用于疾病诊断，比如在其他测试和扫描过程没有特定的条件。人的指甲提供有关投诉或取决于它们的形状，纹理和色彩在人体内的任何营养失衡有益的信息。在人类中，许多全身性皮肤疾病是可以很容易地通过两个四肢指甲的仔细检查分析。很多指甲病已发现众多潜在系统性疾病的主要症状。在指甲的颜色，质地和形状的变化是许多疾病主要影响指甲的迹象。考虑到所有的指甲的这些性能的系统被提出，用于识别人指甲这样的变化以获得更精确的结果，并毫不费力预测许多疾病用途的数字图像处理（DIP）方法。随着物联网（IOT）的概念，新兴的互联网将生成的报告提供远程，这将帮助用户降低运输工作。由于系统必须处理大量的私人数据，数据的安全性必须得到保证。为了保持数据的机密性，使用Blockchain的概念，它是在数据管理领域的大多数新兴的概念之一。本文包含了数字图像处理的指甲图像，IOT（ThingSpeak云）的使用为数据存储和执行Blockchain的特征提取的执行，以保持固定的系统和盗窃免费。关键词：诠释薄GS（IOT），图像的ERNET PROC essin克，薄型gSpeak，RG乙vavalues，平均数PI XEL vavalues，阵营kchain，哈希密钥。疾病诊断系统：在人类指甲异常

Mathematical Methods Applied to Digital Image Processing

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