抄録
Offer Organization: Japan Society for the Promotion of Science, System Name: Grants-in-Aid for Scientific Research, Category: Scientific research (C), general, Fund Type: -, Overall Grant Amount: - (direct: 4300000, indirect: 1290000)
We focus on the Shift-Invariance (SI) in the Complex Discrete Wavelet Transform (CDWT). Our results about the SI of CDWT using the conjugate quadrature filter (CQF) bank are as follows: (1) By adding another condition to the existing well-known condition half-sample shifts of Low-pass filters, we clarified a method for constructing the perfect SI in theory. The additional condition is for establishing the relationship of half-sample shifts between real/imaginary inputs.(2) We proposed the implementation of new CDWT based on above (1), and named it the quasi-shiftinvariant (QSI) CDWT. (3) We factored filters of QSI-CDWT into lifting steps. (4) From three experiments with an application to image processing, we demonstrated that our method has higher SI than conventional SI-CDWT.