Fast calculation of the distance to cubic Bezier curves on the GPU

This blog post provides an in-depth analysis of the challenges and techniques for computing the distance to cubic Bézier curves using GPU-accelerated GLSL fragment shaders. It starts by discussing the mathematical basis of cubic Bézier curves and illustrates the complexity involved in calculating the shortest distance from a point to the curve. The post includes detailed derivations of relevant polynomials, several algorithms for root finding, and optimizations for performance, concluding with potential paths for future exploration in rendering applications. It is technical and targeted at developers interested in graphics programming and computational geometry.