Quaternion Wavelets for Image Analysis and Processing
| dc.citation.bibtexName | inproceedings | en_US |
| dc.citation.conferenceName | IEEE International Conference on Image Processing | en_US |
| dc.citation.firstpage | 3057 | |
| dc.citation.lastpage | 3060 | |
| dc.citation.location | Singapore | en_US |
| dc.citation.volumeNumber | 5 | en_US |
| dc.contributor.author | Chan, Wai Lam | en_US |
| dc.contributor.author | Choi, Hyeokho | en_US |
| dc.contributor.author | Baraniuk, Richard G. | en_US |
| dc.contributor.org | Digital Signal Processing (http://dsp.rice.edu/) | en_US |
| dc.date.accessioned | 2007-10-31T00:39:00Z | |
| dc.date.available | 2007-10-31T00:39:00Z | |
| dc.date.issued | 2004-10-01 | en |
| dc.date.modified | 2006-06-06 | en_US |
| dc.date.note | 2006-06-06 | en_US |
| dc.date.submitted | 2004-10-01 | en_US |
| dc.description | Conference Paper | en_US |
| dc.description.abstract | Using the concepts of two-dimensional Hubert transform and analytic signal, we construct a new quaternion wavelet transform (QWT). The QWT forms a tight frame and can be efficiently computed using a-2-D dual-tree filter bank. The QWT and the 2-D complex wavelet transform (CWT) are related by a unitary transformation, but the former inherits the quaternion Fourier-transform (QFT) phase properties, which are desirable for image analysis. The quaternion magnitude-phase representation of the QWT directly leads to near shift-invariance and the ability to encode phase shifts in an absolute x-y-coordinate system, which we can use for applications such as edge estimation and statistical image modeling. | en_US |
| dc.identifier.citation | W. L. Chan, H. Choi and R. G. Baraniuk, "Quaternion Wavelets for Image Analysis and Processing," vol. 5, 2004. | |
| dc.identifier.doi | http://dx.doi.org/10.1109/ICIP.2004.1421758 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/19774 | |
| dc.language.iso | eng | |
| dc.subject.other | DSP for Communications | en_US |
| dc.title | Quaternion Wavelets for Image Analysis and Processing | en_US |
| dc.type | Conference paper | |
| dc.type.dcmi | Text |
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