Lens correction logic for image sensors

1. A method of calibrating an optical device, the method comprising:

exposing an optical device to at least one reference object so as to generate at least one reference image of the at least one reference object;

providing a pixel correction function including a first number of unknown constant values, the pixel correction function being used to compensate for vignetting in the optical device, wherein the constant values comprise a scaling constant value and a location constant value, wherein the pixel correction function comprises the product of a horizontal component and a vertical component, and wherein each of the horizontal and vertical components includes the scaling constant value and the location constant value;

providing pixel data of a second number of sample points on the at least one reference image, the second number being equal to the first number or the first number plus one; and

determining the constant values using the pixel data of the second number of sample points.

2. The method of claim 1 , wherein the pixel data comprises brightness levels.

3. The method of claim 1 , wherein providing the pixel data comprises:

providing pixel data of a first plurality of sample points along a vertical line of the image; and

providing pixel data of a second plurality of sample points along a horizontal line of the image.

4. The method of claim 3 , wherein one of the first plurality of sample points is identical to one of the second plurality of sample points.

5. The method of claim 1 , wherein the pixel correction function is represented by Equation (a) below:

g ( x,y )= g ( x ) g ( y )=cos h ( s x ( x−c x ))cos h ( s y ( y−c y ))  (a)

wherein c x and c y are constant values indicative of the horizontal and vertical centers of the image, respectively, and s x and s y are constant values indicative of the horizontal and vertical scaling factors, respectively.

6. The method of claim 5 , wherein the first number is 4, and the second number is 5.

7. The method of claim 6 , wherein determining the constant values comprises:

determining g (x) of Equation (a) using three sample points along a horizontal line of the image; and

determining g (y) of Equation (a) using three sample points along a vertical line of the image, wherein one of the three sample points along the horizontal line is identical to one of the three sample points along the vertical line.

8. The method of claim 1 , wherein the pixel correction function further comprises an overall gain factor, and wherein the second number is equal to the first number.

9. The method of claim 8 , wherein the pixel correction function is represented by Equation (b) below:

g ( x,y )= A*g ( x ) g ( y )= A *cos h ( s x ( x−c s ))cos h ( s y ( y−c y ))  (b)

wherein A is an overall gain factor, c x and c y are constant values indicative of the horizontal and vertical centers of the image, respectively, and s x and s y are constant values indicative of the horizontal and vertical scaling factors, respectively; and

wherein the first number is 5, and the second number is 5.

10. The method of claim 1 , wherein the pixel correction function is represented by Equation (c) below:

f

⁡

(

x

,

y

)

=

∑

i

=

0

4

⁢

∑

j

=

0

4

⁢

k

ij

⁢

x

i

⁢

y

j

(

c

)

wherein k ij are constant values indicative of brightness gain, i and j are indices to k, and

wherein the first number is 25, and the second number is 25.

11. The method of claim 1 , wherein determining the constant values comprises using a closed-form solution.

12. The method of claim 1 , wherein determining the constant values comprises using an iterative method.

13. The method of claim 1 , wherein the optical device comprises an imager including an array of pixels, and wherein exposing the optical device to the at least one reference object comprises illuminating the reference object with at least one light source such that the reference object provides substantially uniform brightness on substantially all of the pixels of the imager.

14. The method of claim 1 , wherein exposing the optical device to the at least one reference object comprises illuminating the reference object with at least one light source such that portions of the reference object corresponding to the sample points have substantially the same brightness at the same time or sequentially.

15. The method of claim 14 , wherein exposing the optical device to the at least one reference object comprises:

illuminating one of the portions of the reference object at a time with the at least one light source;

capturing an image of the reference object such that the image shows the one portion of the reference object; and

repeating illuminating and capturing for another of the portions of the reference object without moving the optical device relative to the reference object.

16. The method of claim 15 , wherein exposing the optical device to the at least one reference object further comprises moving the at least one the light source to illuminate the other of the portions of the reference object before repeating illuminating and capturing.

17. The method of claim 15 , wherein illuminating one of the portions of the reference object comprises using a plurality of light sources, each for respective ones of the portions of the reference object.

18. The method of claim 1 , wherein the at least one reference object comprises at least one light source.

19. The method of claim 18 , wherein the at least one light source comprises a plurality of light emitting diodes located to correspond to positions of the sample points, and wherein the light sources are turned on one at a time for each of the at least one reference images.

20. The method of claim 18 , wherein the at least one light source comprises a single movable light emitting diode.