Lapped Directional Transform: A New Transform for Spectral Image Analysis

Dietmar Kunz; Til Aach

doi:10.1109/ICASSP.1999.757580

Lapped Directional Transform: A New Transform for Spectral Image Analysis

Dietmar Kunz, Til Aach

Institute of Signal Processing

Philips Research Laboratories

Abstract

We propose a new real-valued lapped transform for 2D-signal and image processing. Lapped transforms are particularly useful in block-based processing, since their intrinsically overlapping basis functions reduce or prevent block artifacts. Our transform is derived from the modulated lapped transform (MLT), which, as a real-valued and separable transform like the Discrete Cosine Transform, does not allow to unambiguously identify oriented structures from modulus spectra. This is in marked contrast to the (complex-valued) Discrete Fourier Transform (DFT). The new lapped transform is real-valued, and at the same time allows unambiguous detection of spatial orientation. Furthermore, a fast algorithm for this transform exists. As an application example, we investigate the transform's performance in spectral approaches to image restoration and enhancement in comparison to the DFT.

Original language	English
Title of host publication	1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)
Number of pages	4
Volume	6
Publisher	IEEE
Publication date	01.01.1999
Pages	3433-3436
ISBN (Print)	0-7803-5041-3
DOIs	https://doi.org/10.1109/ICASSP.1999.757580
Publication status	Published - 01.01.1999
Event	Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing - Phoenix, United States Duration: 15.03.1999 → 19.03.1999 Conference number: 55225

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Kunz, D., & Aach, T. (1999). Lapped Directional Transform: A New Transform for Spectral Image Analysis. In 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258) (Vol. 6, pp. 3433-3436). (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 6). IEEE. https://doi.org/10.1109/ICASSP.1999.757580

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title = "Lapped Directional Transform: A New Transform for Spectral Image Analysis",

abstract = "We propose a new real-valued lapped transform for 2D-signal and image processing. Lapped transforms are particularly useful in block-based processing, since their intrinsically overlapping basis functions reduce or prevent block artifacts. Our transform is derived from the modulated lapped transform (MLT), which, as a real-valued and separable transform like the Discrete Cosine Transform, does not allow to unambiguously identify oriented structures from modulus spectra. This is in marked contrast to the (complex-valued) Discrete Fourier Transform (DFT). The new lapped transform is real-valued, and at the same time allows unambiguous detection of spatial orientation. Furthermore, a fast algorithm for this transform exists. As an application example, we investigate the transform's performance in spectral approaches to image restoration and enhancement in comparison to the DFT.",

author = "Dietmar Kunz and Til Aach",

year = "1999",

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doi = "10.1109/ICASSP.1999.757580",

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booktitle = "1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)",

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Kunz, D & Aach, T 1999, Lapped Directional Transform: A New Transform for Spectral Image Analysis. in 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258). vol. 6, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 6, IEEE, pp. 3433-3436, Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing , Phoenix, Arizona, United States, 15.03.99. https://doi.org/10.1109/ICASSP.1999.757580

Lapped Directional Transform: A New Transform for Spectral Image Analysis. / Kunz, Dietmar; Aach, Til.
1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258). Vol. 6 IEEE, 1999. p. 3433-3436 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 6).

Research output: Chapters in Books/Reports/Conference Proceedings › Conference contribution › peer-review

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T1 - Lapped Directional Transform: A New Transform for Spectral Image Analysis

AU - Kunz, Dietmar

AU - Aach, Til

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N2 - We propose a new real-valued lapped transform for 2D-signal and image processing. Lapped transforms are particularly useful in block-based processing, since their intrinsically overlapping basis functions reduce or prevent block artifacts. Our transform is derived from the modulated lapped transform (MLT), which, as a real-valued and separable transform like the Discrete Cosine Transform, does not allow to unambiguously identify oriented structures from modulus spectra. This is in marked contrast to the (complex-valued) Discrete Fourier Transform (DFT). The new lapped transform is real-valued, and at the same time allows unambiguous detection of spatial orientation. Furthermore, a fast algorithm for this transform exists. As an application example, we investigate the transform's performance in spectral approaches to image restoration and enhancement in comparison to the DFT.

AB - We propose a new real-valued lapped transform for 2D-signal and image processing. Lapped transforms are particularly useful in block-based processing, since their intrinsically overlapping basis functions reduce or prevent block artifacts. Our transform is derived from the modulated lapped transform (MLT), which, as a real-valued and separable transform like the Discrete Cosine Transform, does not allow to unambiguously identify oriented structures from modulus spectra. This is in marked contrast to the (complex-valued) Discrete Fourier Transform (DFT). The new lapped transform is real-valued, and at the same time allows unambiguous detection of spatial orientation. Furthermore, a fast algorithm for this transform exists. As an application example, we investigate the transform's performance in spectral approaches to image restoration and enhancement in comparison to the DFT.

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Kunz D, Aach T. Lapped Directional Transform: A New Transform for Spectral Image Analysis. In 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258). Vol. 6. IEEE. 1999. p. 3433-3436. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.1999.757580

Lapped Directional Transform: A New Transform for Spectral Image Analysis

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