Interpolation of lines of different orientations
In psychophysical experiments we studied dependencies of interpolation process on objects' size, orientation and distances between them. The objects were two lines of length equal to 0.6, 1.3, and 1.8 angular degrees, symmetrical with respect to the vertical, having orientation ±15, ±30, ±45, or ±60°. Distances between lines changed between 0.5 and 4.5 angular degrees, proportionally to lines' length. Between the lines (in the middle) there was a stroke whose height varied. Observers were asked to join the lines with an imaginary curve and to determine whether the stroke was situated above or below the curve. As result of experiment we determined which strokes intersected the curve. These data depended on distances between lines and their orientation, and was proportional to the size of the objects. Then we calculated interpolation curves connecting the end of the lines and stroke coordinate. The best agreement was obtained when the interpolation curves were circular arcs tangent to the lines drawn. We discuss different possibilities for interpolation of fragmental images.