@article{10.1167/3.4.4,
    author = {Fantoni, Carlo and Gerbino, Walter},
    title = "{Contour interpolation by vector-field combination}",
    journal = {Journal of Vision},
    volume = {3},
    number = {4},
    pages = {4-4},
    year = {2003},
    month = {05},
    abstract = "{We model the visual interpolation of missing contours by extending contour fragments under a smoothness constraint. Interpolated trajectories result from an algorithm that computes the vector sum of two fields corresponding to different unification factors: the good continuation (GC) field and the minimal path (MP) field. As the distance from terminators increases, the GC field decreases and the MP field increases. Viewer-independent and viewer-dependent variables modulate GC-MP contrast (i.e., the relative strength of GC and MP maximum vector magnitudes). Viewer-independent variables include the local geometry as well as more global properties such as contour support ratio and shape regularity. Viewer-dependent variables include the retinal gap between contour endpoints and the retinal orientation of their stems. GC-MP contrast is the only free parameter of our field model. In the case of partially occluded angles, interpolated trajectories become flatter as GC-MP contrast decreases. Once GC-MP contrast is set to a specific value, derived from empirical measures on a given configuration, the model predicts all interpolation trajectories corresponding to different types of occlusion of the same angle. Model predictions fit psychophysical data on the effects of viewer-independent and viewer-dependent variables.}",
    issn = {1534-7362},
    doi = {10.1167/3.4.4},
    url = {https://doi.org/10.1167/3.4.4},
    eprint = {http://jov.arvojournals.org/arvo/content\_public/journal/jov/932824/jov-3-4-4.pdf},
}