著者
Kenjiro Sugimoto Sei-ichiro Kamata
出版者
映像情報メディア学会
雑誌
ITE Transactions on Media Technology and Applications (ISSN:21867364)
巻号頁・発行日
vol.3, no.1, pp.12-21, 2015 (Released:2015-01-01)
参考文献数
42
被引用文献数
3 25

This paper presents an efficient constant-time algorithm for Gaussian filtering and also Gaussian derivative filtering that provides a high approximate accuracy in a low computational complexity regardless of its filter window size. The proposed algorithm consists of two key techniques: second-order shift properties of the Discrete Cosine/Sine Transforms type-5 and dual-domain error minimization for finding optimal parameters. The former enables us to perform filtering in fewer number of arithmetic operations as compared than some state-of-the-art algorithms without integral images. The latter enables us to find the optimal filter size that provides the most accurate filter kernel approximation. Experiments show that the proposed algorithm clearly outperforms state-of-the-art ones in computational complexity, approximate accuracy, and accuracy stability.