Removing anchor points from a path by parameterizing the path to reduce deviation

A non-transitory computer readable medium comprising instructions that, when executed by at least one processor, cause a computing device to:

• receive an indication to remove two or more anchor points of a plurality of anchor points along a Bezier spline;
• in response to the indication, identify pairs of adjacent segments of the Bezier spline, each pair of adjacent segments connected at an anchor point of the two or more anchor points to be removed;
• and
• generate a modified Bezier spline including a new segment that replaces a combination of the pairs of adjacent segments without the two or more anchor points by:
• generating parametric values at intervals along the new segment;
• and
• utilizing the parametric values to determine magnitudes of tangent vectors for the new segment, wherein the determined magnitudes of the tangent vectors reduce deviation of the new segment in relation to the combination of the pairs of adjacent segments.

A system comprising:

• one or more memory devices comprising a Bezier spline;
• and
• one or more computing devices that are configured to cause the system to:
• receive an indication to remove an anchor point of a plurality of anchor points along the Bezier spline;
• in response to the indication, identify two adjacent segments of the Bezier spline that are connected at the anchor point to be removed;
• and
• generate a modified Bezier spline including a new segment that replaces a combination of the two adjacent segments without the anchor point by:
• generating parametric values at intervals along the new segment;
• and
• utilizing the parametric values to determine magnitudes of tangent vectors for the new segment, wherein the determined magnitudes of the tangent vectors indicate locations of control points for the new segment and reduce deviation of the new segment in relation to the combination of the two adjacent segments.