AN APPROACH FOR DESIGNING A SURFACE PENCIL THROUGH A GIVEN GEODESIC CURVE

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Şaffak Atalay G., Güler F., BAYRAM E., Kasap E.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.70, no.1, pp.555-568, 2021 (ESCI)

• Publication Type: Article / Article
• Volume: 70 Issue: 1
• Publication Date: 2021
• Doi Number: 10.31801/cfsuasmas.798620
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.555-568
• Keywords: Geodesic curve, parametric surface, rotation minimizing frame, PARAMETRIC REPRESENTATION, FRAME, DEFORMATIONS, LINE
• Ondokuz Mayıs University Affiliated: Yes

Abstract

In the present paper, we propose a new method to construct a surface interpolating a given curve as the geodesic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. In addition, developablity along the common geodesic of the members of surface family are discussed. Finally, we illustrate this method by presenting some examples.