A DESCRIPTION of FOUR FAST SLITLESS SPECTROGRAPHS by Gale A
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A Theory of Catadioptric Image Formation * Simon Baker and Shree K
A Theory of Catadioptric Image Formation * Simon Baker and Shree K. Nayar Department of Computer Science Columbia University New York, NY 10027 Abstract able is that it permits the generation of geometrically Conventional video cameras have limited fields of correct perspective images from the image(s) captured view which make them restrictive for certain applica- by the catadioptric cameras. These perspective images tions in computational vision. A catadioptric sensor can subsequently be processed using the vast array of uses a combination of lenses and mirrors placed in techniques developed in the field of computational vi- a carefully arranged configuration to capture a much sion which assume perspective projection. Moreover, if wider field of view. When designing a catadioptric sen- the image is to be presented to a human, as in [Peri sor, the shape of the mirror.(s) should ideally be selected and Nayar, 19971, it needs to be a perspective image in to ensure that the complete catadioptric system has a order to not appear distorted. single effective viewpoint. In this paper, we derive the In this paper, we begin in Section 2 by deriving the complete class of single-lens single-mirror catadioptric entire class of catadioptric systems with a single effec- sensors which have a single viewpoint and an expres- tive viewpoint and which are constructed just using a sion for the spatial resolution of a catadioptric sensor single conventional lens and a single mirror. As we will in terms of the resolution of the camera used to con- show, the 2-parameter family of mirrors which can be struct it. -
ALD13 Advanced Lens Design 13
Advanced Lens Design Lecture 13: Mirror systems 2013-01-21 Herbert Gross Winter term 2013 www.iap.uni-jena.de 2 Preliminary Schedule Paraxial optics, ideal lenses, optical systems, raytrace, 1 15.10. Introduction Zemax handling Basic principles, paraxial layout, thin lenses, transition to 2 22.10. Optimization I thick lenses, scaling, Delano diagram, bending 3 29.10. Optimization II merit function requirements, effectiveness of variables 4 05.11. Optimization III complex formulations, solves, hard and soft constraints zero operands, lens splitting, aspherization, cementing, lens 5 12.11. Structural modifications addition, lens removal Geometrical aberrations, wave aberrations, PSF, OTF, sine 6 19.11. Aberrations and performance condition, aplanatism, isoplanatism spherical correction with aspheres, Forbes approach, 7 26.11. Aspheres and freeforms distortion correction, freeform surfaces, optimal location of aspheres, several aspheres 8 03.12. Field flattening thick meniscus, plus-minus pairs, field lenses Achromatization, apochromatic correction, dialyt, Schupman 9 10.12. Chromatical correction principle, axial versus transversal, glass selection rules, burried surfaces 10 17.12. Special topics symmetry, sensitivity, anamorphotic lenses high NA systems, broken achromates, Merte surfaces, AC 11 07.01. Higher order aberrations meniscus lenses Advanced optimization local optimization, control of iteration, global approaches, 12 14.01. strategies growing requirements, AC-approach of Shafer 13 21.01. Mirror systems special aspects, bending of ray paths, catadioptric systems color correction, straylight suppression, third order 14 28.01. Diffractive elements aberrations 15 04.02. Tolerancing and adjustment tolerances, procedure, adjustment, compensators 3 Contents 1. General properties 2. Image orientation 3. Telescope systems 4. Further Examples 4 General Properties of Mirror Systems . -