Imaging surgical target tissue by nonlinear scanning

1. A method for guiding an eye surgery, comprising the steps of;

creating first scan data by determining a depth of an eye target region at a first set of points along a first arc by one of an optical coherence tomographic (OCT) imaging system and an interference-based imaging system:

creating second scan data by determining a depth of the eye target region at a second set of points along a second arc by the one of the OCT imaging system and the interference-based imaging system;

determining target region parameters based on the first and second scan data by a computer controller;

wherein the determining target region parameters step comprises:

fitting a sinusoidal function or Fourier harmonics with at least one fitting parameter to the first and second scan data; and

determining the target region parameters using the fitting parameter; and

assisting an adjusting of one or more surgical position parameters according to the determined target region parameters by the computer controller.

2. The method of claim 1 , wherein:

the eye target region is one of

a corneal target region, an anterior lens surface, a posterior lens surface, a lens target region, an ophthalmic layer, and a surface defined by a pupil.

3. The method of claim 1 , wherein:

at least one of the first arc and the second arc forms at least part of a closed loop.

4. The method of claim 1 , wherein:

the first arc is a portion of a first intersection line where a first scanning surface intersects the eye target region; and

the second arc is a portion of a second intersection line where a second scanning surface intersects the eye target region.

5. The method of claim 1 , wherein:

the first arc is a portion of a first intersection line where a first cylinder intersects the eye target region; and

the second arc is a portion of a second intersection line where a second cylinder intersects the eye target region.

6. The method of claim 5 , wherein:

the first cylinder and the second cylinder are concentric, sharing a Z axis.

7. The method of claim 5 , wherein:

a Z axis of the second cylinder is offset from a Z axis of the first cylinder.

8. The method of claim 1 , wherein the determining target region parameters step comprises:

extracting scan characteristics from the first and second scan data.

9. The method of claim 8 , wherein the extracting scan characteristics step comprises:

extracting a first amplitude and a first phase of the first scan data; and

extracting a second amplitude and a second phase of the second scan data.

10. The method of claim 9 , wherein the determining of target region parameters step comprises:

determining a position parameter of a center of the target region based on the first amplitude, first phase, second amplitude and second phase.

11. The method of claim 9 , wherein the determining of the target region parameters step comprises:

determining an object shape parameter of the target region based on the first amplitude, first phase, second amplitude and second phase.

12. The method of claim 9 , wherein the determining of the target region parameters step comprises:

determining an object orientation parameter based on the first amplitude, first phase, second amplitude and second phase.

13. The method of claim 9 , wherein the determining of the target region parameters step comprises:

determining a position parameter update, related to a position of the target region and a reference point.

14. The method of claim 1 , wherein the adjusting the surgical position parameter comprises:

adjusting a position parameter of a surgical pattern center to align the surgical pattern center with a center of the target region.

15. The method of claim 1 , wherein the method contains:

no more scans after the first scan and the second scan.

16. The method of claim 1 , wherein:

the time from the starting of the first scanning step to the finishing of the determining the surgical position parameters step is no more than one of 100 milliseconds, 1,000 milliseconds and 10,000 milliseconds.

17. The method of claim 1 , wherein:

at least one of the first and second arc is elliptical.

18. The method of claim 1 , wherein:

at least one of the first arc and the second arc is an open arc; and

at least one of the first scan data and the second scan data have a maximum and a minimum.

19. The method of claim 1 , wherein

the eye target region is a region of a lens of the eye;

the target region parameters comprise

a shape parameter of the lens,

a tilt parameter of the lens, and

a position parameter of the lens.

20. The method of claim 1 , wherein:

projections of the first arc and the second arc to a plane, transverse to an optical axis of the imaging system, are arcs.