Abstract
Grammar-based compression is to find a small grammar that generates a given data and has been well-studied in text compression. In this paper, we apply this methodology to compression of rectangular image data. We first define a context-free rectangular image grammar (CFRIG) by extending the context-free grammar. Then we propose a quadsection type algorithm by extending a bisection type algorithm for grammar-based compression of text data. We show that our proposed algorithm approximates in polynomial time the smallest CFRIG within a factor of O(n 4/3), where an input image data is of size O(n) ×O(n). We also present results on computational experiments on the proposed algorithm.
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Hayashida, M., Ruan, P., Akutsu, T. (2010). A Quadsection Algorithm for Grammar-Based Image Compression. In: Kim, Th., Lee, Yh., Kang, BH., Ślęzak, D. (eds) Future Generation Information Technology. FGIT 2010. Lecture Notes in Computer Science, vol 6485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17569-5_24
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DOI: https://doi.org/10.1007/978-3-642-17569-5_24
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