Method of surface manufacture with an apex decentered from a spindle axis

1. A method for cutting a surface with the apex of a part decentered from the spindle axis in a lathing process comprising:

aligning a decentralized apex with a spindle axis;

defining a central axis as a radial distance from the spindle axis;

characterizing part design as a series of points;

translating the series of points into a stacked elevational map;

storing the stacked elevational map as a first mini-file;

compensating for tool geometry;

creating a second mini-file with the geometry-compensated values;

transmitting the second mini-file to a computer numerical control lathe; and

cutting a rotating part material with an oscillating tool according to the second mini-file.

2. A method for compensating for diamond tool geometry comprising:

creating a representation of a part surface as a spiral and defining meridians within the spiral;

calculating the X and Z locations;

calculating the desired position of a diamond tool relative to the surface point to be cut;

compensating for the diamond tool radius to determine proper tool position to generate recalculated points; and

calculating a geometry-compensated zero meridian.

3. The method of claim 2 wherein calculating the X and Z locations comprises:

measuring the distance between two curves of the spiral;

dividing the distance between the curves by the number of meridians; and

equating a Z value along the zero meridian.

4. The method of claim 2 , wherein calculating the desired position of a diamond tool comprises:

projecting a line at the tool axis angle from the zero meridian to the meridian being compensated; and

projecting a vector normal to the point determined in the preceding step to find the center of the diamond tool.

5. The method of claim 2 , wherein the compensating step further comprises offsetting the desired surface location by the tool radius value perpendicular to the current meridian.

6. The method of claim 2 , wherein calculating a geometry-compensated zero meridian further comprises rotating the recalculated points about the origin by a tool axis angle and averaging the values of the highest and lowest meridians at each point calculated.

7. The method of claim 2 , further comprising recording all tool geometry compensated values in a mini-file.

8. The method of claim 4 , wherein the tool axis angle is between 0 and 45 degrees.

9. The method of claim 1 , wherein said part is a lens.

10. The method of claim 1 , wherein said part is a lens mold.

11. The method of claim 2 , wherein said part is a lens.

12. The method of claim 2 , wherein said part is a lens mold.