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Journals / HKM Jeodezi Jeoinformasyon Arazi Yönetimi Dergisi / 2007 / Cilt: 0 - Sayı: 97

Mathematical model of table-based polyconic map projections: A case study for the Ginzburg VI projection

Tablo değerleri ile tanımlı polikonik projeksiyonların matematiksel modeli ve bir uygulama: Ginzburg VI projeksiyonu

Cengizhan İPBÜKER
Mustafa YANALAK
İ. Öztuğ BİLDİRİCİ
Pages
23–31
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

An extensive distortion analysis is also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Some map projections are defined by tabular coordinates computed for certain latitude/longitude values rather than mathematical equations.
📊
Key Findings & Data:The Ginzburg projections, which were developed and used in the former Soviet Union, are among those of table-based world projections.
💡
Conclusion & Impact:An extensive distortion analysis is also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Some map projections are defined by tabular coordinates computed for certain latitude/longitude values rather than mathematical equations. The Ginzburg projections, which were developed and used in the former Soviet Union, are among those of table-based world projections. In this paper, polynomials and radial basis functions, such as multiquadric and thin-plate spline functions, are applied to derive an analytical expression based on the tabular coordinates given for the Ginzburg VI projection. An extensive distortion analysis is also given.

Özet

Harita projeksiyonları, bazen projeksiyon eşitlikleri ile değil, belirli enlem ve/veya boylam aralıkları için verilen tablo değerleri ile tanımlanırlar. Sovyetler Birliği döneminde geliştirilerek kullanılmış Ginzburgprojeksiyonları, tablo koordinatları ile tanımlanmışlardır. Bu çalışmada Ginzburg'un tablo tanımlı projeksiyonlarından polikonîk olanların matematiksel modeli ortaya konmuştur. Bu bağlamda tablo değerlerine bağlı olarak orta meridyene (0°) ve dış meridyene (180°) fonksiyon uydurmak için polinom ve radyal bazlı fonksiyonlardan yararlanılmıştır. Önerilen yaklaşım Ginzburg'un polikonik projeksiyonlarından Ginzburg VI üzerinde test edilmiştir.

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Cite This Article

İPBÜKER, C., YANALAK, M., BİLDİRİCİ, İ. Ö. (2022). Mathematical model of table-based polyconic map projections: A case study for the Ginzburg VI projection. HKM Jeodezi Jeoinformasyon Arazi Yönetimi Dergisi, Cilt: 0 - Sayı: 97, 23–31. https://ajindex.com/articles/538098

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