4 ms·
RBFs are splendid, but you don't need to have them "decay with distance", indeed, ones which don't (mutliquartics etc) often have better approximation propertie
by smidgeon 1y ago
RBFs are splendid, but you don't need to have them "decay with distance", indeed, ones which don't (mutliquartics etc) often have better approximation properties and better-conditioned linear systems to solve, give them a go! https://www.sciencedirect.com/science/article/abs/pii/S0955799723005994 https://www.sciencedirect.com/science/article/abs/pii/S09557...
- olpyhn 1y agoInteresting, will try it out. Thank you! Tbh, I tried several different functions, but nothing worked better than inverse quadric function. Though, I'm not sure if I tried anything without decay
- smidgeon 1y agoOne interesting group is the compactly supported RBFs, for example those of Wendland https://math.iit.edu/~fass/603_ch4.pdf https://math.iit.edu/~fass/603_ch4.pdf the advantage being that the resulting linear systems are sparse, useful when you have lots of points to interpolate and "gaps" is not an issue.