X-ray system and method for golf ball inspection

1. A system for determining eccentricity of a plurality of golf balls, comprising:

a radiolucent ball-holding apparatus configured to secure at least one golf ball therein, wherein the at least one golf ball comprises a core, a layer disposed on the core to form an inner ball, and a cover disposed on the inner ball, wherein the layer comprises a first material having a first atomic number;

an imaging system comprising at least one x-ray source, a filter set, and an imager capable of obtaining a first set of images of the at least one golf ball at a first orientation and a second set of images are a second orientation, wherein the first orientation and the second orientation are perpendicular, wherein the filter set comprises a first filter formed from a second material having a second atomic number and a second filter formed from a third material having a third atomic number, wherein the first, second, and third atomic numbers differ from each other, wherein the first set of images comprises a first image obtained with the first filter and a second image obtained with the second filter, wherein the second set of images comprises a third image obtained with the first filter and a fourth image obtained with the second filter; and

an analyzer operatively coupled to the imaging system and capable of performing an inspection routine on the first and second sets of images comprising determining eccentricity for the at least one golf ball based on a first eccentricity of the at least one golf ball at the first orientation and a second eccentricity of the at least one golf ball at the second orientation and determining whether the eccentricity meets at least one predetermined threshold.

2. The system of claim 1 , wherein the first orientation is along the equator of the golf balls.

3. The system of claim 1 , wherein the second atomic number is at least one less than the first atomic number and the third atomic number is at least one greater than the first atomic number.

4. The system of claim 1 , wherein the first filter has a first thickness and the second filter has a second thickness.

5. The system of claim 4 , wherein the first thickness is different than the second thickness.

6. A system for determining eccentricity of a plurality of golf balls, comprising:

a radiolucent ball-holding apparatus configured to secure a plurality of golf balls therein, wherein each of the plurality of golf balls comprises a center, a cover, and a layer disposed between the center and the cover, and wherein the layer comprises a material having a known atomic number;

an imaging system comprising at least one x-ray source, a first filter formed from a first material having a first atomic number, a second filter formed from a second material having a second atomic number, and an imager capable of obtaining a first set of images of the plurality of golf balls at a first orientation and a second set of images are a second orientation, wherein the first orientation and the second orientation are perpendicular, wherein the first atomic number is less than the known atomic number and the second atomic number is greater than the known atomic number, wherein the first set of images comprises a first image obtained with the first filter and a second image obtained with the second filter, wherein the second set of images comprises a third image obtained with the first filter and a fourth image obtained with the second filter; and

an analyzer operatively coupled to the imaging system and capable of performing an inspection routine on the first and second sets of images comprising calculating eccentricity E for each of the plurality of golf balls based on the following equation:

E

=

(

E

AoR

2

+

E

1

2

+

E

2

2

)

where E AoR is the eccentricity along the axis of rotation, E 1 is the shift from the first set of images, and E 2 is the shift from the second set of images.

7. The system of claim 6 , wherein the analyzer is capable of determining whether the calculated eccentricity meets or exceeds a predetermined threshold.

8. The system of claim 6 , wherein the plurality of golf balls comprises at least two golf balls.

9. The system of claim 8 , wherein the plurality of golf balls comprises at least four golf balls.

10. The system of claim 6 , wherein the first orientation is along the equator of the golf balls.

11. The system of claim 6 , wherein the first atomic number is one less than the known atomic number and the second atomic number is one greater than the known atomic number.

12. The system of claim 6 , wherein the first atomic number is two less than the known atomic number and the second atomic number is two greater than the known atomic number.

13. A method of determining concentricity of a golf ball, comprising:

providing a golf ball comprising a center, a cover, and a layer disposed between the core and the cover, wherein the layer comprises a material having a known atomic number;

securing the golf ball in a holding apparatus, wherein the holding apparatus is radiolucent;

providing at least one x-ray imaging system comprising an x-ray source, a filter set, and an imager, wherein the filter set comprises a first filter formed of a material having a first atomic number that is less than the known atomic number by 1 to 3 and a second filter of a material having a second atomic number that is greater than the known atomic number by 1 to 3;

placing the first filter within a path of the x-ray source;

capturing a first x-ray image of the golf ball at a first orientation;

placing the second filter within a path of the x-ray source;

capturing a second x-ray image of the golf ball at the first orientation;

rotating the holding apparatus to a second orientation, wherein the second orientation is different from the first orientation;

placing the first filter within a path of the x-ray source;

capturing a third x-ray image of the golf ball at the second orientation;

placing the second filter within a path of the x-ray source;

capturing a fourth x-ray image of the golf ball at the second orientation; and

using a processor operatively connected to the x-ray imaging system, determining eccentricity for the golf ball based on a first eccentricity of the at least one golf ball at the first orientation and a second eccentricity of the golf ball at the second orientation.

14. The method of claim 13 , wherein the first and second orientations are perpendicular.

15. The method of claim 13 , further comprising the step of obtaining a first difference image from the first and second images and a second difference image from the third and fourth images.

16. The method of claim 13 , wherein the first atomic number is less than the known atomic number by 1 and the second atomic number is greater than the known atomic number by 1.

17. The method of claim 13 , wherein the first atomic number is less than the known atomic number by 2 and the second atomic number is greater than the known atomic number by 2.