Journal of Graphic Science of Japan
Online ISSN : 1884-6106
Print ISSN : 0387-5512
ISSN-L : 0387-5512
Reserch Paper
The method of generating a developable surface between two space curves and unfolding it in unifying way.
─ study using differential geometry ─
Osamu ARIMA
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2020 Volume 54 Issue 2 Pages 3-

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Abstract
 This report describes the method for generating a developable surface between two space curves and obtaining a development of it.
 On ruled surfaces, the existence of a tangent plane is equivalent to its being a developable surface. Therefore, the generators are determined so as to be a developable surface between two space curves, and a development is created using a generalized unfolding formula for the developable surface generated in this way.
 In this method, it is possible to obtain a development uniformly without considering the types of developable surfaces. It is theoretically impossible to draw a development of a surface other than a developable surface, because the surface generated between two space curves is guaranteed to be a developable surface.
 If two space curves cannot generate a developable surface, a development cannot be obtained. However, the existence of a tangent plane can be easily determined because it can be imaged without complicated calculations.
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© 2020 Japan Society for Graphic Science
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