TY  - JOUR
T1  - Reconstruction of a Ruled Surface in 3-dimensional Euclidean Space
AU  - Ekici, Cumali
AU  - Dede, Mustafa
AU  - Koçak, Mahmut
PY  - 2024
DA  - March
DO  - 10.18185/erzifbed.1362369
JF  - Erzincan University Journal of Science and Technology
PB  - Erzincan Binali Yıldırım Üniversitesi
WT  - DergiPark
SN  - 2149-4584
SP  - 259
EP  - 267
VL  - 17
IS  - 1
LA  - en
AB  - In this paper, we first provide a summary of certain results related to the differential geometry of ruled surfaces. Next, we introduce the signature curve for ruled surfaces in Euclidean three-space. Additionally, we present a straightforward algorithm for the reconstruction of a ruled surface, which is both efficient and entirely local, requiring only the initial motion direction and starting point. Finally, we illustrate the efficiency and accuracy of the algorithm through several examples.Bu makalede, öncelikle regle yüzeylerin diferesiyel geometrisi ile ilgili bazı sonuçların bir özetini sunuyoruz. Daha sonra, Öklid üç uzayında regle yüzeyler için işaret eğrisini tanıtıyoruz. Ek olarak, bir regle yüzeyin yeniden yapılandırılması için hem verimli hem de tamamen yerel olan, yalnızca ilk hareket yönü ve başlangıç noktası gerektiren basit bir algoritma sunuyoruz. Son olarak, algoritmanın verimliliğini ve doğruluğunu birkaç örnekle gösteriyoruz.
KW  - Ruled surface
KW  - Signature curve
KW  - Curvature
KW  - Reconstruction
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UR  - https://doi.org/10.18185/erzifbed.1362369
L1  - https://dergipark.org.tr/tr/download/article-file/3416481
ER  -