Generalized Anisotropic Stratified Surface Sampling

J. A. Quinn, F. C. Langbein, Yu-Kun Lai, R. R. Martin
2013 IEEE Transactions on Visualization and Computer Graphics  
We introduce a novel stratified sampling technique for mesh surfaces that gives the user control over sampling density and anisotropy via a tensor field. Our approach is based on sampling space-filling curves mapped onto mesh segments via parametrizations aligned with the tensor field. After a short pre-processing step, samples can be generated in real-time. Along with visual examples, we provide rigorous spectral analysis and differential domain analysis of our sampling. The sample
more » ... s are of high quality: they fulfil the blue noise criterion, so have minimal artifacts due to regularity of sampling patterns, and they accurately represent isotropic and anisotropic densities on the plane and on mesh surfaces. They also have low discrepancy, ensuring that the surface is evenly covered.
doi:10.1109/tvcg.2012.305 pmid:23661009 fatcat:ecjvyoadjfefxfq6jslmnoynxi