Resolution independent rendering of quadratic bezier curves using programmable graphics hardware

A computer system for resolution-independent rendering of an image defined at least in part by one or more Bezier curves, the computer system comprising:

• a processor;
• a graphics processing unit (GPU);
• storage device;
• and
• computer-readable instructions stored in the storage device executable on the processor and the GPU for causing the computer system to perform:
• subdividing the image into a plurality of polygons based on Bezier control points of a Bezier curve function, each of the polygons being defined around a Bezier curve;
• assigning texture coordinates to the Bezier control points;
• projecting the plurality of polygons and the Bezier curves into texture space;
• constructing an implicit signed distance function based on the assigned texture coordinates and the Bezier curve function;
• determining for each pixel within each of the plurality of polygons, based on the implicit signed distance function, whether the pixel is located inside or outside the respective Bezier curve;
• and
• shading the pixels determined to be inside the Bezier curve.

A program for resolution-independent rendering of an image defined at least in part by one or more Bezier curves stored on a non-transitory computer-readable medium, the program comprising:

• computer-readable instructions stored in the non-transitory computer-readable medium for causing a computer to perform:
• subdividing the image into a plurality of polygons based on Bezier control points of a Bezier curve function, each of the polygons being defined around a Bezier curve;
• assigning texture coordinates to the Bezier control points;
• projecting the plurality of polygons and the Bezier curves into texture space;
• constructing an implicit signed distance function based on the assigned texture coordinates and the Bezier curve function;
• determining for each pixel within each of the plurality of polygons, based on the implicit signed distance function, whether the pixel is located inside or outside the respective Bezier curve;
• and
• shading the pixels determined to be inside the Bezier curve.