WAVELET TRANSFORM AND LIP MODEL
The Fourier transform is well suited to the study of stationary functions. Yet, it is superseded by the Wavelet transform for the powerful characterizations of function features such as singularities. On the other hand, the LIP (Logarithmic Image Processing) model is a mathematical framework develop...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Slovenian Society for Stereology and Quantitative Image Analysis
2011-05-01
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| Series: | Image Analysis and Stereology |
| Subjects: | |
| Online Access: | http://www.ias-iss.org/ojs/IAS/article/view/703 |
| _version_ | 1819113356441681920 |
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| author | Guy Courbebaisse Frederic Trunde Michel Jourlin |
| author_facet | Guy Courbebaisse Frederic Trunde Michel Jourlin |
| author_sort | Guy Courbebaisse |
| collection | DOAJ |
| description | The Fourier transform is well suited to the study of stationary functions. Yet, it is superseded by the Wavelet transform for the powerful characterizations of function features such as singularities. On the other hand, the LIP (Logarithmic Image Processing) model is a mathematical framework developed by Jourlin and Pinoli, dedicated to the representation and processing of gray tones images called hereafter logarithmic images. This mathematically well defined model, comprising a Fourier Transform "of its own", provides an effective tool for the representation of images obtained by transmitted light, such as microscope images. This paper presents a Wavelet transform within the LIP framework, with preservation of the classical Wavelet Transform properties. We show that the fast computation algorithm due to Mallat can be easily used. An application is given for the detection of crests. |
| first_indexed | 2024-12-22T04:28:06Z |
| format | Article |
| id | doaj.art-44dd6d4dcd4040bc97eef3a5bd0226ba |
| institution | Directory Open Access Journal |
| issn | 1580-3139 1854-5165 |
| language | English |
| last_indexed | 2024-12-22T04:28:06Z |
| publishDate | 2011-05-01 |
| publisher | Slovenian Society for Stereology and Quantitative Image Analysis |
| record_format | Article |
| series | Image Analysis and Stereology |
| spelling | doaj.art-44dd6d4dcd4040bc97eef3a5bd0226ba2022-12-21T18:39:07ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652011-05-0121212112510.5566/ias.v21.p121-125675WAVELET TRANSFORM AND LIP MODELGuy CourbebaisseFrederic TrundeMichel JourlinThe Fourier transform is well suited to the study of stationary functions. Yet, it is superseded by the Wavelet transform for the powerful characterizations of function features such as singularities. On the other hand, the LIP (Logarithmic Image Processing) model is a mathematical framework developed by Jourlin and Pinoli, dedicated to the representation and processing of gray tones images called hereafter logarithmic images. This mathematically well defined model, comprising a Fourier Transform "of its own", provides an effective tool for the representation of images obtained by transmitted light, such as microscope images. This paper presents a Wavelet transform within the LIP framework, with preservation of the classical Wavelet Transform properties. We show that the fast computation algorithm due to Mallat can be easily used. An application is given for the detection of crests.http://www.ias-iss.org/ojs/IAS/article/view/703logarithmic image processinglogarithmic wavelet transformwavelet transform |
| spellingShingle | Guy Courbebaisse Frederic Trunde Michel Jourlin WAVELET TRANSFORM AND LIP MODEL Image Analysis and Stereology logarithmic image processing logarithmic wavelet transform wavelet transform |
| title | WAVELET TRANSFORM AND LIP MODEL |
| title_full | WAVELET TRANSFORM AND LIP MODEL |
| title_fullStr | WAVELET TRANSFORM AND LIP MODEL |
| title_full_unstemmed | WAVELET TRANSFORM AND LIP MODEL |
| title_short | WAVELET TRANSFORM AND LIP MODEL |
| title_sort | wavelet transform and lip model |
| topic | logarithmic image processing logarithmic wavelet transform wavelet transform |
| url | http://www.ias-iss.org/ojs/IAS/article/view/703 |
| work_keys_str_mv | AT guycourbebaisse wavelettransformandlipmodel AT frederictrunde wavelettransformandlipmodel AT micheljourlin wavelettransformandlipmodel |