Reconstruction of a Ruled Surface in 3-dimensional Euclidean Space


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dede m., EKİCİ C., koçak m.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, cilt.17, sa.1, ss.259-267, 2024 (Hakemli Dergi) identifier

Özet

In this paper, firstly, a summary of certain results related to the differential geometry of ruled surfaces is provided. Subsequently, the signature curve for ruled surfaces in Euclidean 3-space is introduced. Additionally, a simple algorithm for the reconstruction of a ruled surface, which is both efficient and entirely local, requiring only the initial motion direction and starting point, is presented. Finally, the efficiency and accuracy of the algorithm are demonstrated through several examples.