Content-adaptive graph-based methods for image analysis and processing.

D. Tech. Electrical Engineering.In the past few years, mesh representation of images has attracted a lot of research interest due to its wide area of applications in image processing. Mesh representation showed encouraging results for image segmentation, reconstruction and compression. The present work revisits the Laplacian mesh smoothing, a technique for fairing surfaces, almost exclusively applied to 3D meshes. The report is also based on the idea that while sampling points in an image are distributed uniformly, the information in an image is not following a uniform distribution. Instead of filtering the gray levels of the image, the proposed method, called grid smoothing, filter the coordinates of the sampling points of the image