2021
DOI: 10.31801/cfsuasmas.798620
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An approach for designing a surface pencil through a given geodesic curve

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.

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Cited by 1 publication
(1 citation statement)
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“…The study of curves and surfaces has wide application areas such as architectural design, computer aided design, astronomy, astrophysics and genetics [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. We encounter curves and surfaces in every differential geometry book.…”
Section: Introductionmentioning
confidence: 99%
“…The study of curves and surfaces has wide application areas such as architectural design, computer aided design, astronomy, astrophysics and genetics [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. We encounter curves and surfaces in every differential geometry book.…”
Section: Introductionmentioning
confidence: 99%