Journal article
Eigensurfaces of eigenmirrors
Journal of the Optical Society of America. A, Optics, image science, and vision, v 36(8), pp 1312-1321
01 Aug 2019
PMID: 31503556
Abstract
Typically, if an observer gazes at a curved reflector, the objects in it will appear to be distorted. We show here that for some mirrors there exist surfaces that do not appear distorted when viewed from a prescribed location. We call such mirrors eigenmirrors and the surfaces eigensurfaces. We first give an analysis of the rotationally symmetric case and verify our work with simulations. In the general three-dimensional (3D) case, if the mirror is given, then one does not expect an eigensurface to exist. On the other hand, if we are given two viewpoints and a correspondence between the ray bundles emanating from each point, and we treat both the eigenmirror and the eigensurface as unknowns, then the problem reduces to solving a first-order nonlinear partial differential equation. We derive this partial differential equation in the 3D case and examine one example in detail. (C) 2019 Optical Society of America
Metrics
Details
- Title
- Eigensurfaces of eigenmirrors
- Creators
- Sarah G. Rody - Chestnut Hill CollegeRonald K. Perline - Drexel UniversityR. Andrew Hicks - Drexel University
- Publication Details
- Journal of the Optical Society of America. A, Optics, image science, and vision, v 36(8), pp 1312-1321
- Publisher
- Optical Soc Amer
- Number of pages
- 10
- Grant note
- DMS-09-08299 / Directorate for Mathematical and Physical Sciences (MPS)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000478044900004
- Scopus ID
- 2-s2.0-85070086197
- Other Identifier
- 991019167804004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Optics