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CLC number: O43
On-line Access: 2022-03-22
Received: 2020-11-06
Revision Accepted: 2022-04-22
Crosschecked: 2021-03-17
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Caustics of developable surfaces
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Mikls HOFFMANN, Imre JUHSZ, Ede TROLL. Caustics of developable surfaces[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(3): 479-487.
@article{title="Caustics of developable surfaces",
author="Mikls HOFFMANN, Imre JUHSZ, Ede TROLL",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="23",
number="3",
pages="479-487",
year="2022",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2000613"
}
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%A Mikls HOFFMANN
%A Imre JUHSZ
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%N 3
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%D 2022
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.2000613
TY - JOUR
T1 - Caustics of developable surfaces
A1 - Mikls HOFFMANN
A1 - Imre JUHSZ
A1 - Ede TROLL
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 23
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SP - 479
EP - 487
%@ 2095-9184
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.2000613
Abstract: While considering a mirror and light rays coming either from a point source or from infinity, the reflected light rays may have an envelope, called a caustic curve. In this paper, we study developable surfaces as mirrors. These caustic surfaces, described in a closed form, are also developable surfaces of the same type as the original mirror surface. We provide efficient, algorithmic computation to find the caustic surface of each of the three types of developable surfaces (cone, cylinder, and tangent surface of a spatial curve). We also provide a potential application of the results in contemporary free-form architecture design.
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