Curves and surfaces in the context of optometry. Part 2: Surfaces
African Vision and Eye Health
| Field | Value | |
| Title | Curves and surfaces in the context of optometry. Part 2: Surfaces | |
| Creator | Harris, W.F. | |
| Description | This paper introduces the differential geom-etry of surfaces in Euclidean 3-space. The first and second fundamental forms of a surface are defined. The first fundamental form provides a metric for calculations of length and area on the surface. The second fundamental form deter-mines surface curvature and, hence, concepts of importance in optometry such as surface power and sagitta. The principal curvatures at a point on a surface are obtained as solutions of a qua-dratic equation. The torus is used to illustrate the methods. | |
| Publisher | AOSIS | |
| Date | 2006-12-19 | |
| Identifier | 10.4102/aveh.v65i1.246 | |
| Source | African Vision and Eye Health; South African Optometrist: Vol 65, No 1 (2006); 4-11 2410-1516 2413-3183 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://avehjournal.org/index.php/aveh/article/view/246/212
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