LOCAL INTERACTION FIELDS AND ADAPTIVE REGULARIZERS FOR SURFACE RECONSTRUCTION AND IMAGE RELAXATION

A set of novel local interaction fields associated with input point da ta and adaptive regularizers are introduced for some problems in image processing and early-middle vision. The local interaction field is us ed to take the place of the delta-error term in conventional approache s. It consists of two parts; one is the usual error term, the other is a window function whose shape, size and orientation can be adapted to local structures in specific applications. Unlike the usual delta-err or term, local interaction fields favour local flatness and thus impos e smoothing implicitly. Several adaptive regularizers are introduced t o keep discontinuities while smoothing. In finding solutions, even the simplest gradient descent algorithm is efficient in many examples. Th e results are stable under varying parameters and quite robust against noise.