dorsal/arxiv
View SchemaAn exact expression for the image error in a catadioptric sensor
| Authors | R. Andrew Hicks |
|---|---|
| Categories | |
| ArXiv ID | physics/0410058 |
| URL | https://arxiv.org/abs/physics/0410058 |
Abstract
A catadioptric sensor induces a projection between a given object surface and an image plane. The prescribed projection problem is the problem of finding a catadioptric sensor that realizes a given projection. Here we present a functional that describes the image error induced by a given mirror when compared with a given projection. This expression can be minimized to find solutions to the prescribed projection problem. We present an example of this approach, by finding the optimum spherical mirror that serves as a passenger side mirror on a motor vehicle.
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"date_created": "2026-03-02T18:00:53.685000Z",
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"abstract": "A catadioptric sensor induces a projection between a given object surface and\nan image plane. The prescribed projection problem is the problem of finding a\ncatadioptric sensor that realizes a given projection. Here we present a\nfunctional that describes the image error induced by a given mirror when\ncompared with a given projection. This expression can be minimized to find\nsolutions to the prescribed projection problem. We present an example of this\napproach, by finding the optimum spherical mirror that serves as a passenger\nside mirror on a motor vehicle.",
"arxiv_id": "physics/0410058",
"authors": [
"R. Andrew Hicks"
],
"categories": [
"physics.optics"
],
"title": "An exact expression for the image error in a catadioptric sensor",
"url": "https://arxiv.org/abs/physics/0410058"
},
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