Reconstruction of irregularly-sampled images by regularization in spline spaces

We are concerned with the reconstruction of a regularly-sampled image based on irregularly-spaced samples thereof. We propose a new iterative method based on a cubic spline representation of the image. An objective function taking into account the similarity to the known samples and the regularity of the function is minimized in order to obtain a good approximation. We apply the developed algorithm to motion-compensated image interpolation. Under motion compensation, the resulting sampling grids are irregular and require the irregular/regular interpolation. We show experimental results on real-world images and we compare our results with other methods proposed in the literature.

• Type: Conference
• Year: 2002
• Where: ICIP
• Authors: Carlos Vázquez, Eric Dubois, Janusz Konrad
• Keywords: Cubic Spline Representation, ICIP 2002, Image Processing, Irregular/regular Interpolation, Motion-compensated Image Interpolation