On 6/12/07 4:23 PM, in article
Epidne-YQ55Ht_LbnZ2dnUVZ_hmtnZ2d@giganews.com, "Mike Tyner"
<mtyner@mindspring.com> wrote:
>> Why not just call it a 125 mm or a 1/8 m sphere? Will that remove too much
>> jargon from the practice of optometry?
[quoted text clipped - 15 lines]
>
> -MT
How about a 8 diopter sphere?
Bill

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Mike Tyner - 13 Jun 2007 02:56 GMT
> How about a 8 diopter sphere?
Dunno. He has a drawer of "8 base" lenses, a drawer of "6 base" and some "4
base" and perhaps a drawer of "2s". The more curved, the more distorted.
"8-base-sensitive" is awfully jargonish but it's common usage if you're in
the business.
-MT
>> Why not just call it a 125 mm or a 1/8 m sphere? Will that remove too much
>> jargon from the practice of optometry?
>
>From the start, opticians used diopters because millimeters aren't additive.
1/f1 + 1/f2 = 1/f3 is a lot more awkward than D1 + D2 = D3.
>Lenses always have two surfaces and one must always a "base curve" in
>calculations or tooling.
[quoted text clipped - 4 lines]
>"8 base" certainly is jargon, but if the term didn't exist you'd need
>something else.
Radius of curvature in millimeters.
>What's twisty about the term "base curve" is that those who tool in minus
>cyl consider the front surface to be "base" and with the old tools made in
>plus cyl form the *back* surface was "base."
>
>-MT
With direct to surface freeform technology we can pretty much make the lens
anyway we want, limited only by the software/point files.
Robert Martellaro
~~~~~~~~~~~~~~~~~~
Optician/Owner
Roberts Optical
Wauwatosa Wi.
~~~~~~~~~~~~~~~~~~
"Science is a way of trying not to fool yourself."
- Richard Feynman
Salmon Egg - 15 Jun 2007 06:09 GMT
On 6/14/07 2:03 PM, in article 7u4373hek2u87q4jgp0l4huanah1jl40nt@4ax.com,
>>> Why not just call it a 125 mm or a 1/8 m sphere? Will that remove too much
>>> jargon from the practice of optometry?
[quoted text clipped - 31 lines]
> "Science is a way of trying not to fool yourself."
> - Richard Feynman
There are mathematical terms, called curvatures, that are the reciprocals of
radii. The term curvature is usually used for curves in a plane but can also
be used for surfaces. There is nothing preventing curvatures from being
measured in diopters. Curvature and radius of curvature are discussed in
almost any beginning calculus text.
If you want to get fancier, look at a book discussing differential geometry.
They discuss the osculating paraboloid that gives a best fit to a surface.
There will be two radii of curvature and two curvatures (measurable in
diopters) at the point of contact. If the two curvatures are different then
there will, at a minimum, some (optometric) cylinder in the surface.
This differential geometry approach will be applicable to aspheric surfaces
as well.
Bill

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