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Stretching of Dynamic Mathematical Symbols Taking Care of Similarity and Geometric Characterization
Joint Authors
Bayar, Abdelouahad
Sami, Khalid
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The scientific document industry has undergone an important progress in all steps especially in processing and presentation.
However, it is still confronted with major obstacles when it has to manipulate documents containing mathematical formulas which are based on dynamic or variable-sized mathematical symbols and taking care of optical scaling.
Normally, in processing documents, the composition of mathematical formulas is based on static fonts.
The support of dynamic mathematical symbols requires, in addition to the choice of adequate type of fonts and text formatting tools, the development of a mathematical model allowing parametrizing the symbols to support optical scaling.
In this paper, we present a method to supply stretching of Bézier curves representing symbols without losing the aspect of similarity and the geometric characteristics of the concerned symbols.
The curves of dynamic symbols to be parametrized are designed on the basis of a new method that allows measuring similarity.
The model can be extended later for the development of dynamic fonts respecting the rules of Arabic calligraphy.
The method to evaluate the similarity can also be easily adapted in other fields such as image processing.
American Psychological Association (APA)
Bayar, Abdelouahad& Sami, Khalid. 2017. Stretching of Dynamic Mathematical Symbols Taking Care of Similarity and Geometric Characterization. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1190847
Modern Language Association (MLA)
Bayar, Abdelouahad& Sami, Khalid. Stretching of Dynamic Mathematical Symbols Taking Care of Similarity and Geometric Characterization. Mathematical Problems in Engineering No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1190847
American Medical Association (AMA)
Bayar, Abdelouahad& Sami, Khalid. Stretching of Dynamic Mathematical Symbols Taking Care of Similarity and Geometric Characterization. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1190847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190847