Curves and surfaces in the context of optometry. Part 1: Curves*

African Vision and Eye Health

Field Value
Title Curves and surfaces in the context of optometry. Part 1: Curves*
Creator Harris, W.F.
Subject — Curves, curvature, torsion, varifocal lenses, theory of contact, differential geometry
Description This paper introduces the differential geom-etry of curves in Euclidean 3-space, the motiva-tion being the writer’s belief that, despite their fundamental importance, curves are inadequate-ly treated in optometric educational programs. Curvature and torsion are defined along a curve. Two  numerical  examples  are  presented.  The fundamental theorem of curves is stated. The relationship of the geometry of varifocal lenses and curves known as involutes are discussed. A brief treatment of the theory of contact is given with  suggestions  of  applications  in  contact between  spectacle  lenses  and  frames,  contact lenses and corneas (including orthokeratology), intra-ocular lenses and structures in the eye, and spectacle frames and the face.
Publisher AOSIS
Date 2005-12-19
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — —
Format application/pdf
Identifier 10.4102/aveh.v64i4.235
Source African Vision and Eye Health; South African Optometrist: Vol 64, No 4 (2005); 118-125 2410-1516 2413-3183
Language eng
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Coverage — — —
Rights Copyright (c) 2005 W.F. Harris