A novel guided image filter using orthogonal geodesic distance weight

In many applications, meaningful image structures tend to be piecewise smooth rather than band-limited. And edge-preserving image filters are always used to extract such structures and reduce noise. In this paper, a new image filtering method is introduced. We use geodesic distance to compute support weight, and a fast approximation named orthogonal geodesic distance weight is proposed. It greatly reduces the computational complexity while keeping excellent performance. The proposed filter is especially suitable for filtering with a high quality guide image.