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I want to get the x and y coordinates of a curve..How can i do that...

enter image description here

In the above image.Is it possible to calculate the intermediate points(one side) by knowing starting and ending point

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    At least you have to have a model for the curve, and knowledge of extremities will let you pin down parameters of that model. Without the model, your question is incomplete.2011-09-08
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    To add to Sasha: are you assuming it's a circle arc? A Bézier arc? What?2011-09-08
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    I just point out the arc. I know starting point(i.e)top left and ending point (i.e)Bottom left. It is a bezier arc..2011-09-08
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    Then your problem is underdetermined. Remember that a Bézier arc requires four control points to determine it.2011-09-08
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    Ok...if it's is a parabolic arc...is is possible to find x and y coordinates..2011-09-08

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I surely observe that the given curve on the bi-concave lens is a parabola , so take the coordinate axes ,and then fix the lens at origin ,so that the mid-point(center) of the lens coincide with the origin ,

so then eccentricity of the lens is known or can be calculated,so one can find each corresponding $y$ for each $x$,

for more details about parabola see this

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    Actually this one seems to be a programmatic and mathematical question...My curve is an image that shown above...so i can't trac the exact curve..there will be free space infront of curve where the arrows are placed....2011-09-08
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    oh,fantastic ,i just now read about you,i felt very happy that you are a good programmer,and all the best for your iphone project,@anish2011-09-08
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    may be if you are interested in programming i suggest you to join this too,: http://superuser.com/, there are many people,programmers there,with whom you can share and exchange your knowledge,thank you2011-09-08
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    How can you "surely observe that the given curve on the bi-concave lens is a parabola"? According to Wikipedia (granted, not the most authoritative source) "[most lenses are spherical](https://en.wikipedia.org/wiki/Lens_(optics)#Construction_of_simple_lenses)" so even if we knew that the picture represents a bi-concave lens (which is still a reasonable guess), a circle arc would be more likely (and, again, a guess).2015-04-02