Quote:
Originally Posted by RobertSmalls
How much better does a circle fit, versus the parabolic fit you discussed here? |
Hi Robert,
Fortunately, that old file and spreadsheet data were saved by yours truly, such that further numbers could be calculated and shown here:
The previous post had this chart of information that was gleaned from an earlier analysis of the Template. The points shown in the table were 'picked' from the Template via a graphics editing program, thrown into the spreadsheet and analyzed numerically to allow a curve-fit to be developed.
A further column of data shown in yellow is the
change in angular curvature for each picked point from the Template.
The change in curvature is not consistent in it's change from point to point, indicating that these picked points are not close to ideal. Therefore another approach to interpreting the Template is in order.
This picture is a collage of three smaller pictures, and shows how closely the a single radius matches the Template in the area from 0% to 60% cordal length.
The match is pretty good, and at least my eye can not determine if multiple radii would provide a better fit in this area.
The section from 65% to 100% cordal length seems pretty clearly identified as angled at the maximum allowable of 22°, so this portion is not under consideration, unless others have different theories on the intent of the Template shape.
To sum up, this is my best guess based on the given shape of the rendered Template.
Jim