This article examines the geometric modeling of Islamic decorative patterns and digital algorithms for their creation. The compositional structure of Islamic patterns, the laws of symmetry, repeating elements, and the principles of formation based on geometric transformations are analyzed. Methods for constructing complex ornamental elements based on parametric, recursive, and iterative approaches are discussed, and mathematical models for these elements are developed. Additionally, the possibilities of using transformations such as rotation, scaling, shear, reflection, and polygonal support structures in pattern generation are discussed. The article examines the automatic creation, visualization, and implementation of various variants of Islamic decorative patterns in a practical software environment using digital algorithms. The proposed approaches are of great importance in the digital restoration of national and architectural ornaments, the creation of modern design, computer graphics, and educational programs. The research results provide a deeper understanding of the geometric properties of Islamic ornaments and their algorithmic development.
| Mualliflar | Анарова, Ш.А., Иброхимова, З.Э., Гайбуллаева, М.Ш., Каршибоев, Ж.У. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashr sanasi | 2026-05-15 |
| Jild | 9 |
| Son | 2 |
| Betlar | 122-128 |
| Til | Rus |
| DOI | 10.62132/ijdt.v9i2.386 |
DOI: 10.62132/ijdt.v9i2.386 · Maqolaning asl sahifasi
исламские декоративные узоры, геометрическое моделирование, цифровые алгоритмы, орнамент, симметрия, геометрические преобразования, параметрическая модель, рекурсивный алгоритм, islamic decorative patterns, geometric modeling, digital algorithms, ornament, symmetry, geometric transformations, parametric model, recursive algorithm
This article analyzes the scientific-methodological foundations, architecture and pedagogical effectiveness of the «Mantiq» mobile platform, which monitors speech and cognitive development in preschool children using…
This article examines the application of the Case-Based Reasoning (CBR) method in decision support systems for career choice. The relevance of the study is determined by the need to intellectualize career guidance…
This study is aimed at assessing the impact of groundwater dynamics on the noosphere using modern information systems and integrated modeling approaches. The research proposes the use of remote sensing data and GIS…
This work develops a complete three-dimensional mathematical model for the gravitational settling of a two-phase dispersed mixture and the vertical stratification of concentration in a water reservoir, formulated within…
This paper proposes BCA-YOLO, a YOLO-based architecture enhanced with three novel components. Bilateral Cross-Attention (BCA) block, which computes cross-attention between the feature maps of the left breast and the…
In this study, a new EWM-MCDM (Entropy Weight Method – Multi-Criteria Decision-Making) model was developed to identify ecologically suitable areas for afforestation on the dried bed of the Aral Sea. Using the Google…
A coupled magneto-mechanical model to simulate the deformation of a ferromagnetic cylindrical shell under the action of an axial alternating magnetic field is presented. The model includes the anhysteretic Langevin…
This study is devoted to modeling and optimizing information exchange processes in a virtual platform for local product trade. The research object is the information flow within the digital platform, while the subject…
Cyber Threat Intelligence reports combine analytical prose with dense technical indicators, making structured entity extraction a challenging but operationally valuable task. This paper presents a comparative evaluation…
This paper proposes a new feature extraction method for speaker recognition, called Delta-Gated Spike Encoding (DGSE). The proposed approach combines log-Mel spectrograms, temporal delta, adaptive thresholding, an…
Рақамли технологияларнинг назарий ва амалий масалалари — barcha maqolalar