Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-02-26
دولة النشر
مصر
عدد الصفحات
15
التخصصات الرئيسية
الملخص EN
Irregular boundary lines can be characterized by fractal dimension, which provides important information for spatial analysis of complex geographical phenomena such as cities.
However, it is difficult to calculate fractal dimension of boundaries systematically when image data are limited.
An approximation estimation formula of boundary dimension based on square is widely applied in urban and ecological studies.
But the boundary dimension is sometimes overestimated.
This paper is devoted to developing a series of practicable formulae for boundary dimension estimation using ideas from fractals.
A number of regular figures are employed as reference shapes, from which the corresponding geometric measure relations are constructed; from these measure relations, two sets of fractal dimension estimation formulae are derived for describing fractal-like boundaries.
Correspondingly, a group of shape indexes can be defined.
A finding is that different formulae have different merits and spheres of application, and the second set of boundary dimensions is a function of the shape indexes.
Under condition of data shortage, these formulae can be utilized to estimate boundary dimension values rapidly.
Moreover, the relationships between boundary dimension and shape indexes are instructive to understand the association and differences between characteristic scales and scaling.
The formulae may be useful for the prefractal studies in geography, geomorphology, ecology, landscape science, and especially, urban science.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Chen, Yanguang. 2020. Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1198052
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Chen, Yanguang. Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1198052
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Chen, Yanguang. Two Sets of Simple Formulae to Estimating Fractal Dimension of Irregular Boundaries. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1198052
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1198052
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر