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Caustics of developable surfaces Research Articles

Miklós HOFFMANN, Imre JUHÁSZ, Ede TROLL,hoffmann.miklos@uni-eszterhazy.hu,imre.juhasz@uni-miskolc.hu,troll.ede@uni-eszterhazy.hu

Frontiers of Information Technology & Electronic Engineering 2022, Volume 23, Issue 3, Pages 479-487 doi: 10.1631/FITEE.2000613

Abstract: While considering a mirror and light rays coming either from a point source or from infinity, the may have an envelope, called a caustic curve. In this paper, we study s as mirrors. These caustic surfaces, described in a closed form, are also s 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 s (cone, cylinder, and tangent surface of a spatial curve). We also provide a potential application of the results in contemporary free-form architecture design.

Keywords： Caustics Developable surface Reflected light rays Curve of regression