Extrusion technique for curve rendering

Various implementations disclosed herein interpret data that define curves to display the curves in a 2D or 3D environment. In some implementations, vertices are used to represent control points that specify the geometry of a curve. These vertices are changed in an extrusion process that moves and/or adds vertices to ensure that sufficient pixels are available for anti-aliasing during rasterization, while also providing changed vertices that can be interpreted to accurately render the curve's geometry.