مجلة العلوم والتكنولوجيا
Volume 6, Numéro 1, Pages 67-78
2025-07-16
بناء أساس متعامد باستخدام خوارزمية "غرام شميدت" ومقارنته مع ادامز مولتن بالنسبة لبلدية أولاد فايت-الجزائر
الكاتب : ابو يوسف يوسف . الكرد كوثر .
الملخص
The study aims to uncover geographical changes over time using the Gram-Schmidt algorithm, a method employed to create an orthogonal basis from a random basis in an inner product space of dimension. Given any basis for an inner product space, the algorithm generates an orthogonal basis through successive projection and subtraction of components parallel to previously selected elements. Additionally, image analysis reveals variations in color distribution, indicating changes unrelated to urban expansion. As for the Adams method, it relies on spectral gradients and temporal changes, making it more sensitive to lighting variations and spectral fluctuations. In conclusion, these results underscore the importance of digital methods in accurately and swiftly displaying and analyzing satellite images using MATLAB. Therefore, future studies should focus on improving preparation conditions and employing other advanced computational techniques to achieve greater accuracy on time.
الكلمات المفتاحية
Gram-Schmidt, algorithm, orthogonal basis, inner product, vector space, projection, numerical stability.
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