Journal article
Designing a mirror to realize a given projection
Journal of the Optical Society of America. A, Optics, image science, and vision, v 22(2), pp 323-330
Feb 2005
PMID: 15717562
Abstract
I present a design technique for realizing given projections as catadioptric sensors. In general, these problems do not have solutions, but approximate solutions may often be found that are visually acceptable. The method described reduces the problem to solving a linear system. A given transformation from the image plane to an object surface is shown to determine a vector field that is normal to the surface in the case where the vector field is a gradient. For the case when the vector field is not a gradient, several functionals are presented that may be minimized to give approximate solutions. As an application several new designs are described, including a mirror that directly gives a full 360-deg cylindrical projection without the need for any digital processing.
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Details
- Title
- Designing a mirror to realize a given projection
- Creators
- R Andrew Hicks - Department of Mathematics, Drexel University, Philadelphia, Pennsylvania 19104, USA. ahicks@math.drexel.edu
- Publication Details
- Journal of the Optical Society of America. A, Optics, image science, and vision, v 22(2), pp 323-330
- Publisher
- Optica (OSA); United States
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000226586900014
- Scopus ID
- 2-s2.0-13644265996
- Other Identifier
- 991014877832604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Optics