<title>Influence function for visual interpolation</title>

Abstract

We present three experiments in which observers were asked to interpolate parabolic sampled contours. In the first two experiments, observers saw only eight isolated sample points, all of which lay on or near an otherwise invisible contour. The observer adjusted the position of a ninth point until s/he judged it to be on the contour as well. We measured the effect of small perturbations in the locations of each of the visible points on the observer's setting and derived a locally linear 'receptive field' that characterizes how each of the visible points contributed to the interpolation judgement. In the third experiment, we develop a measure of segmentation performance based on the same methods and analyses.