Ink space coordinate system for a digital ink stroke

One or more computer-readable storage media having instructions stored thereon that when executed by a processor, direct the processor to at least:

• receive ink stroke data of an ink stroke, wherein the ink stroke data comprises a set of ink points, and wherein two adjacent ink points of the set of ink points are connected by a corresponding ink segment;
• define an ink space coordinate system along the ink stroke, wherein the ink space coordinate system forms a grid along the ink stroke, and the defining of the ink space coordinate system comprises:
• assign a reference line of the ink stroke along the length of the ink stroke that passes through each of the ink points of the set of ink points;
• assign an origin point for the ink stroke on the reference line;
• create ink space coordinates, wherein the creating of the ink space coordinates comprises:
• define ink space x-coordinate values representing a distance along the reference line relative to the origin point;
• and
• define ink space y-coordinate values representing a distance along an axis perpendicular to the reference line of the ink stroke;
• and
• for any corners produced by adjacent ink segments of the ink stroke, perform a warping to create curvature in the ink space coordinate system, wherein performing the warping comprises:
• warp the ink space x-coordinate values to follow the curvature of the ink stroke by stretching the ink space x-coordinate values on a reflex angle side and compressing the ink space x-coordinate values on an opposite side to the reflex angle side, the reflex angle side and the opposite side being formed by a corner produced by adjacent ink segments;
• and
• warp the ink space y-coordinate values to smooth the transitions between the adjacent ink segments of the ink segments.

A system comprising:

• a processor;
• one or more computer-readable storage media;
• and
• instructions stored thereon that when executed by the processor, direct the processor to at least:
• receive ink stroke data of an ink stroke, wherein the ink stroke data comprises a set of ink points, and wherein two adjacent ink points of the set of ink points are connected by a corresponding ink segment;
• define an ink space coordinate system along the ink stroke, wherein the ink space coordinate system forms a grid along the ink stroke, and the defining of the ink space coordinate system comprises:
• assign a reference line of the ink stroke along the length of the ink stroke that passes through each of the ink points of the set of ink points;
• assign an origin point for the ink stroke on the reference line;
• create ink space coordinates, wherein the creating of the ink space coordinates comprises:
• define ink space x-coordinate values representing a distance along the reference line relative to the origin point;
• and
• define ink space y-coordinate values representing a distance along an axis perpendicular to the reference line of the ink stroke;
• and
• for any corners produced by adjacent ink segments of the ink stroke, perform a warping to create curvature in the ink space coordinate system, wherein performing the warping comprises:
• warp the ink space x-coordinate values to follow the curvature of the ink stroke by stretching the ink space x-coordinate values on a reflex angle side and compressing the ink space x-coordinate values on an opposite side to the reflex angle side, the reflex angle side and the opposite side being formed by a corner produced by adjacent ink segments;
• and
• warp the ink space y-coordinate values to smooth the transitions between the adjacent ink segments of the ink segments.