Surface Interpolation to Image with Edge Preserving

Based on the assumption that low-resolution image is sampled from an original scene approximated by piecewise polynomial surface, this paper proposes two different constraints to make the fitting surface of the original scene preserve the image´s edge characteristics. We first construct a cubic parametric curve to approximate the edge in each local area and obtain an auxiliary pixel set by re-sampling the curve, then introduce a weight function to accord pixels different degrees of effects on surface reconstruction. By re-sampling the constructed surface, the enlarged image can be easily obtained. Extensive experimental results on various types of low-resolution images demonstrate that our method produces generally better results both in terms of quantitative evaluation and subjective visual quality.