Resolution independent curve rendering using programmable graphics hardware

Loop, C

doi:10.1145/1073204.1073303

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Resolution independent curve rendering using programmable graphics hardware

2005-07-01

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Loop, C

Blinn, J

DOI：10.1145/1073204.1073303

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Abstract

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We present a method for resolution independent rendering of paths and bounded regions, defined by quadratic and cubic spline curves, that leverages the parallelism of programmable graphics hardware to achieve high performance. A simple implicit equation for a parametric curve is found in a space that can be thought of as an analog to texture space. The image of a curve's Bezier control points are found in this space and assigned to the control points as texture coordinates. When the triangle(s) corresponding to the Bezier curve control hull are rendered, a pixel shader program evaluates the implicit equation for a pixel's interpolated texture coordinates to determine an inside/outside test for the curve. We extend our technique to handle anti-aliasing of boundaries. We also construct a vector image from mosaics of triangulated Bezier control points and show how to deform such images to create resolution independent texture on three dimensional objects.

Keywords:

curve rendering

resolution independence

vector representations

graphics hardware algorithms

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