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- W2363471330 abstract "The two-dimensional discrete sine transform (2-D DST) finds important applications in digital image processing. Due to the separability of the DST kernel,the 2-D DST can be usually computed by use of the row-column method and a one-dimensional fast sine transform (1-D FST) algorithm. In this paper the fast recursive algorithm for the one-di-mensional discrete sine transform-Ⅱ(1-D DST-Ⅱ) suggested in [6] is extended to two dimensions using the vector-radix decomposition to obtain a fast algorithm for decimation-in-frequency, (2m×2m) -point,vector-radix,two-dimensional discrete sine transform-Ⅱ. The vector-radix approach decomposes the (N×N )-point DST-Ⅱ into four (N/2×N/2)-point DST-Ⅱ's. The process is repeated until only trivial (2×2)-point DST-Ⅱ'S remain. First,a simple algebraic derivation of the algorithm in [6] is presented in this paper. Then, the algorithm is extended to 2-D by means of the vector-radix approach. Derivation based on both the sequence splitting and Kronecker matrix product method is discussed. The signal flowgraph is given. Finally,the computational complexity is analysed and a comparison of this algorithm is made with the commonly used row-column method. The resulting algorithm has regular butterfly structure. It is numerically stable and saves 25% in multiplication operations as compared with the row-column method." @default.
- W2363471330 created "2016-06-24" @default.
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- W2363471330 date "1994-01-01" @default.
- W2363471330 modified "2023-09-23" @default.
- W2363471330 title "A Fast Algorithm for Two-Dimensional Vector-Radix Discrete Sine Transform-II" @default.
- W2363471330 hasPublicationYear "1994" @default.
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