A nonparametric procedure to detect jumps in regression surfaces

This article proposes a local smoothing procedure for detecting jump location curves of regression surfaces. This procedure simplifies the computation of some existing jump detectors in the statistical literature. It also generalizes the Sobel edge detector in the image processing literature such that more observations can be used to smooth away random noise in the data. The problem to evaluate the performance of jump detectors is discussed and a new measurement of jump detection performance is suggested.