Before revision:  The design goal of TopoLines is to smooth line charts while maintaining prominent peaks , as defined by persistent homology, in the data . We compare TopoLines to 5 popular line smoothing methods using data from 4 application domains .
After revision:  The design goal of TopoLines is to smooth line charts while maintaining prominent peaks , as defined by persistent homology, in the data while minimizing any residual error. We evaluate TopoLines for 2 visual analytics tasks by comparing to 5 popular line smoothing methods using data from 4 application domains .