Edge Strength based Fuzzification of Colour Demosaicking Algorithms

In this paper we fuzzify the bilinear colour interpolation and the non-linear colour differential correlative interpolation techniques of colour demosaicking, using the edge strength map of the mosaic image. In doing so we ensure that the edges have less participation in the interpolation thereby minimizing the interpolation error. The result is faster and more accurate colour demosaicking algorithms with application to high resolution images. The overall improvement is quite significant when it comes to colour interpolation of high definition/high resolution images containing a lot of detail or edges as proved by the extensive experimental results on state-of-the-art databases and state-of-the-art comparison.Defence Science Journal, Vol. 64, No. 1, January 2014, DOI:10.14429/dsj.64.473

Generalization of the Lee-O'Sullivan List Decoding for One-Point AG Codes

We generalize the list decoding algorithm for Hermitian codes proposed by Lee and O'Sullivan based on Gr\"obner bases to general one-point AG codes, under an assumption weaker than one used by Beelen and Brander. Our generalization enables us to apply the fast algorithm to compute a Gr\"obner basis of a module proposed by Lee and O'Sullivan, which was not possible in another generalization by Lax.Comment: article.cls, 14 pages, no figure. The order of authors was changed. To appear in Journal of Symbolic Computation. This is an extended journal paper version of our earlier conference paper arXiv:1201.624