Last semester I implemented a novel technique published in a SIGGRAPH paper. The authors of this paper have devised a new algorithm for smooth 3d interpolation of values defined at the vertices of a closed polygonal mesh. I used their algorithm for applications in surface deformation and volumetric color interpolation. Using OpenGL and the aforementioned technique I was able to render and transform a very smooth 3d geometric model in real time. This got me thinking about significance of computer graphics in geometric modelling.
Here is a link to the paper if anyone is interested - https://www.cse.wustl.edu/~taoju/research/meanvalue.pdf