Caustics of developable surfaces  

作　　者：Miklos HOFFMANN Imre JUHASZ Ede TROLL 

机构地区：[1]Institute of Mathematics and Computer Science,Eszterhazy Karoly University,Eger 3300,Hungary [2]Department of Computer Graphics and Image Processing,University of Debrecen,Debrecen 4010,Hungary [3]Department of Descriptive Geometry,University of Miskolc,Miskolc 3515,Hungary

出　　处：《Frontiers of Information Technology & Electronic Engineering》2022年第3期479-487,共9页信息与电子工程前沿（英文版）

基　　金：Project supported by the European Union and the European Social Fund(No.EFOP-3.6.3-VEKOP-16-2017-00002).Open Access funding provided by European Union and the European Social Fund。

摘　　要：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.

关 键 词：CAUSTICS Developable surface Reflected light rays Curve of regression 

分 类 号：O186.11[理学—数学]