Abstract: The present disclosure relates to systems, methods, and non-transitory computer-readable media that generates a vector graphic image from a modified diffusion curve. Furthermore, the disclosed systems generate Monte Carlo rendering color estimates for corresponding subpoints of an image of a three-dimensional digital scene. Moreover, the disclosed systems generate Monte Carlo PDE color estimates for corresponding subpositions within a target image of the three-dimensional digital scene by using Monte Carlo PDE model parameterized by a diffusion curve. Further, the disclosed systems generate a modified diffusion curve from the diffusion curve by comparing the Monte Carlo rendering color estimates with the Monte Carlo PDE color estimates. From the modified diffusion curve, the disclosed systems generate the vector graphic image of the three-dimensional digital scene.