A set of local interaction field and adaptive regularizers are introduced to usual regularization theory. A local interaction field consists of a usual error term and a window function. The sizes

orientations and shapes of window functions can be made adaptive to specific applications. Adaptive regularizers are used to handle discont inuities. Theses two terms lead to asymmetrical energy functional. Even the simplest gradient algorithm is effective and stable when there are noises or algorithmic parameters change.