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Pseudo-evolute curves and caustic surfaces
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Hande Nur DALKILILJ1 , Yusuf YAYLI2. Pseudo-evolute curves and caustic surfaces[J]. Frontiers of Information Technology & Electronic Engineering, 1998, -1(-1): .
@article{title="Pseudo-evolute curves and caustic surfaces",
author="Hande Nur DALKILILJ1 , Yusuf YAYLI2",
journal="Frontiers of Information Technology & Electronic Engineering",
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number="-1",
pages="",
year="1998",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2400930"
}
%0 Journal Article
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%A Yusuf YAYLI2
%J Journal of Zhejiang University SCIENCE C
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%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2400930
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Y1 - 1998
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.2400930
Abstract: In this study, osculating caustic developable and rectifying caustic developable surfaces were obtained by considering space curves and curves on the surface as base curves and changing the direction of the light source reflected by the mirror surface. It was proved that the pseudo-evolute curves represent the striction curves (regression edges) of these surfaces. In the case of developable surfaces based on curves on the surface, it was observed that osculating caustic developable surfaces are equivalent to rectifying caustic developable surfaces if the curve is geodesic. In addition, when the base curve was taken over any surface, the caustic surfaces were characterized as flat or normal approximation surfaces, depending on the direction of the light source.
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