1 / 19

A Theory for Multiresolution Signal Decomposition: The Wavelet Representation

filipina
Download Presentation

A Theory for Multiresolution Signal Decomposition: The Wavelet Representation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

    1. A Theory for Multiresolution Signal Decomposition: The Wavelet Representation Author: Stephane G. Mallat Presented by: Yuelong Jiang

    2. Content Multiresolution Approximation and Transform Wavelet Representation in Multiresolution Laplacian pyramid and FWT Extension of Wavelet Representation to Image Some applications Conclusion

    3. Multiresolution Approximation

    4. Multiresolution Approximation

    5. Multiresolution Transform

    6. Fourier Transform of a scaling function

    7. Wavelet Representation

    8. Wavelet Representation

    9. Wavelet Representation

    10. Wavelet Representation

    11. Wavelet Representation

    12. Laplacian Pyramid and FWT

    13. FWT

    14. FWT

    15. Extension to Image

    16. Extension to Image

    17. Extension to Image

    18. Application Compact Coding of Wavelet Image Representation Texture Discrimination and Fractal Analysis

    19. Conclusion Wavelet representation can indicate the signal without information loss. Through two pass filters, wavelet representation can reconstruct the original signal efficiently. Compared with Fourier transform, wavelet is localizable in both frequency domain and space domain. Wavelet representation provides a new way to compress or modify images.

More Related