Dimension Fractal in Radiological Imagery for Comparison of Data Between Morphologic and Pathological Elements

IF 4.6 2区 数学 Q1 MATHEMATICS, APPLIED Applied and Computational Mathematics Pub Date : 2021-06-16 DOI:10.11648/j.acm.20211002.12
Ernesto Borges Batista, Luis Alberto Escalona Fernández, Kirelis Napoles Dominguez, Y. Sarmiento, Claudia del Carmen Pupo Marrero
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引用次数: 1

Abstract

Aims: Fractal for comparison of radiological imagery between morphologic and pathological elements confirms the behavior of the experimental information through dimension itself. The irregularity of the human body is its own characteristic. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Method: they use the theoretic methods: Analysis synthesis, induction deduction and abstraction concretion. Processes of understanding, explanation and interpretation. Methods, procedures and mathematical algorithms, as well as information-technology professional programs are applicable. Come true quest of information about the application of dimension fractal in the diagnostic one belonging to diseases, based in radiological imagery. The diagnostic method fractal consists in the calculation of dimension for three cellular objects defined as: the nucleus, the cytoplasm without a nucleus and the entire cell. Results: Methods and procedures to ratify diseases, where the different authors yield a mathematical model, propose which themselves fractal for the comparison of histological and pathological elements confirms the behavior of the experimental data represented in radiological imagery, by means of dimension. About fractal geometry, the fractal dimension is obtained, which is a numerical measure that represents the degree of irregularity of an object. However, it has traditionally been measured with Euclidean metrics, by approximating its shapes to regular lines, areas and volumes. In response to this impossibility of making reliable measurements of this class of objects, fractal geometry is developed, which allows to adequately characterize the irregular shape of the human body. Conclusions: A methodology of work based in radiological imagery by comparison of histological and pathological elements to determine different diseases in patients becomes established.
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形态学与病理元素数据比较的放射图像维数分形
目的:分形用于影像形态学和病理元素之间的比较,通过维数本身确认实验信息的行为。人体的不规则性有其自身的特点。然而,它传统上是用欧几里得度量来测量的,通过将其形状近似于规则的线条、面积和体积。由于不可能对这类物体进行可靠的测量,分形几何得以发展,它可以充分表征人体的不规则形状。方法:运用分析综合、归纳演绎、抽象具体化等理论方法。理解、解释和诠释的过程。方法,程序和数学算法,以及信息技术专业课程适用。实现了基于放射影像的分形维数在疾病诊断中的应用。分形诊断方法是对细胞核、无核细胞质和整个细胞三种细胞对象进行维数计算。结果:确认疾病的方法和程序,其中不同的作者产生了一个数学模型,提出了自己分形的组织和病理元素的比较,通过维数的方式证实了放射图像中所代表的实验数据的行为。关于分形几何,得到了分形维数,它是表示物体不规则程度的数值度量。然而,它传统上是用欧几里得度量来测量的,通过将其形状近似于规则的线条、面积和体积。由于不可能对这类物体进行可靠的测量,分形几何得以发展,它可以充分表征人体的不规则形状。结论:建立了一种基于放射图像的工作方法,通过比较组织学和病理因素来确定患者的不同疾病。
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来源期刊
CiteScore
8.80
自引率
5.00%
发文量
18
审稿时长
6 months
期刊介绍: Applied and Computational Mathematics (ISSN Online: 2328-5613, ISSN Print: 2328-5605) is a prestigious journal that focuses on the field of applied and computational mathematics. It is driven by the computational revolution and places a strong emphasis on innovative applied mathematics with potential for real-world applicability and practicality. The journal caters to a broad audience of applied mathematicians and scientists who are interested in the advancement of mathematical principles and practical aspects of computational mathematics. Researchers from various disciplines can benefit from the diverse range of topics covered in ACM. To ensure the publication of high-quality content, all research articles undergo a rigorous peer review process. This process includes an initial screening by the editors and anonymous evaluation by expert reviewers. This guarantees that only the most valuable and accurate research is published in ACM.
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