Generalized magnification in visual optics. Part 1: Magnification as linear transformation
In Gaussian optics magnification is a scalar; the interpretation is obvious. In linear optics, the simplest optics of astigmatic systems, the generalization is a 2 2× real matrix and, in general, is much harder to interpret. This generalized magnification may imply magnification in the familiar...
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| Format: | Article |
| Language: | English |
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AOSIS
2010-12-01
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| Series: | African Vision and Eye Health |
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| Online Access: | https://avehjournal.org/index.php/aveh/article/view/134 |
| _version_ | 1818365482927915008 |
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| author | W. F. Harris |
| author_facet | W. F. Harris |
| author_sort | W. F. Harris |
| collection | DOAJ |
| description | In Gaussian optics magnification is a scalar; the interpretation is obvious. In linear optics, the simplest optics of astigmatic systems, the generalization is a 2 2× real matrix and, in general, is much
harder to interpret. This generalized magnification may imply magnification in the familiar sense that differs from one meridian to another, shear distortion, rotation, reflection, inversion, magnification in the familiar sense or combinations of these effects. The purpose of this paper is to illustrate generalized magnification and to provide a comprehensive interpretation. Because the treatment is abstract it
can be applied to blur and size magnification and to any magnification that can be represented by a 2 X 2 matrix. (S Afr Optom 2010 69(3) 109-122) |
| first_indexed | 2024-12-13T22:20:58Z |
| format | Article |
| id | doaj.art-d4151192cd514a8f813b0713ffbd7f32 |
| institution | Directory Open Access Journal |
| issn | 2413-3183 2410-1516 |
| language | English |
| last_indexed | 2024-12-13T22:20:58Z |
| publishDate | 2010-12-01 |
| publisher | AOSIS |
| record_format | Article |
| series | African Vision and Eye Health |
| spelling | doaj.art-d4151192cd514a8f813b0713ffbd7f322022-12-21T23:29:22ZengAOSISAfrican Vision and Eye Health2413-31832410-15162010-12-0169310912210.4102/aveh.v69i3.134103Generalized magnification in visual optics. Part 1: Magnification as linear transformationW. F. Harris0Department of Optometry, University of JohannesburgIn Gaussian optics magnification is a scalar; the interpretation is obvious. In linear optics, the simplest optics of astigmatic systems, the generalization is a 2 2× real matrix and, in general, is much harder to interpret. This generalized magnification may imply magnification in the familiar sense that differs from one meridian to another, shear distortion, rotation, reflection, inversion, magnification in the familiar sense or combinations of these effects. The purpose of this paper is to illustrate generalized magnification and to provide a comprehensive interpretation. Because the treatment is abstract it can be applied to blur and size magnification and to any magnification that can be represented by a 2 X 2 matrix. (S Afr Optom 2010 69(3) 109-122)https://avehjournal.org/index.php/aveh/article/view/134Generalized magnificationastigmatismrotationreflectioninversionlinear magnification |
| spellingShingle | W. F. Harris Generalized magnification in visual optics. Part 1: Magnification as linear transformation African Vision and Eye Health Generalized magnification astigmatism rotation reflection inversion linear magnification |
| title | Generalized magnification in visual optics. Part 1: Magnification as linear transformation |
| title_full | Generalized magnification in visual optics. Part 1: Magnification as linear transformation |
| title_fullStr | Generalized magnification in visual optics. Part 1: Magnification as linear transformation |
| title_full_unstemmed | Generalized magnification in visual optics. Part 1: Magnification as linear transformation |
| title_short | Generalized magnification in visual optics. Part 1: Magnification as linear transformation |
| title_sort | generalized magnification in visual optics part 1 magnification as linear transformation |
| topic | Generalized magnification astigmatism rotation reflection inversion linear magnification |
| url | https://avehjournal.org/index.php/aveh/article/view/134 |
| work_keys_str_mv | AT wfharris generalizedmagnificationinvisualopticspart1magnificationaslineartransformation |