Images of co-planar points in 3-dimensional space taken from different camera positions are a homography apart. Homographies are at the heart of geometric methods in computer vision and are used in geometric camera calibration, 3D reconstruction, stereo vision and image mosaicking among other tasks. In this paper we show the surprising result that homographies are the apposite tool for relating image colors of the same scene when the capture conditions-illumination color, shading and device-change. Three applications of color homographies are investigated. First, we show that color calibration is correctly formulated as a homography problem. Second, we compare the chromaticity distributions of an image of colorful objects to a database of object chromaticity distributions using homography matching. In the color transfer problem, the colors in one image are mapped so that the resulting image color style matches that of a target image. We show that natural image color transfer can be re-interpreted as a color homography mapping. Experiments demonstrate that solving the color homography problem leads to more accurate calibration, improved color-based object recognition, and we present a new direction for developing natural color transfer algorithms.

Color transfer is an image editing process that naturally transfers the color theme of a source image to a target image. In this paper, we propose a 3D color homography model which approximates photo-realistic color transfer algorithm as a combination of a 3D perspective transform and a mean intensity mapping. A key advantage of our approach is that the re-coded color transfer algorithm is simple and accurate. Our evaluation demonstrates that our 3D color homography model delivers leading color transfer re-coding performance. In addition, we also show that our 3D color homography model can be applied to color transfer artifact fixing, complex color transfer acceleration, and color-robust image stitching.

This paper presents a novel user-aided method for texture-preserving shadow removal from single images which only requires simple user input. Compared with the state-of-the-art, our algorithm addresses limitations in uneven shadow boundary processing and umbra recovery. We first detect an initial shadow boundary by growing a user specified shadow outline on an illumination-sensitive image. Interval-variable intensity sampling is introduced to avoid artefacts raised from uneven boundaries. We extract the initial scale field by applying local group intensity spline fittings around the shadow boundary. Bad intensity samples are replaced by their nearest alternatives based on a log-normal probability distribution of fitting errors. Finally, we use a gradual colour transfer to correct post-processing artefacts such as gamma correction and lossy compression. Compared with state-of-the-art methods, we offer highly user-friendly interaction, produce improved umbra recovery and improved processing given uneven shadow boundaries.