2013 Fiscal Year Final Research Report
Mathematics in image processing combining wavelet analysis and numerical method with guaranteed accuracy
| Project/Area Number |
23540145
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Saga University |
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Principal Investigator |
MINAMOTO Teruya 佐賀大学, 工学(系)研究科(研究院), 教授 (00294900)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 電子透かし / 区間演算 / ウェーブレット解析 / 精度保証付き数値計算 |
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| Research Abstract |
We propose new blind digital image watermarking methods based on interval arithmetic (IA) and shift-invariant wavelets such as the dyadic wavelet transform (DYWT) and the dual-tree complex discrete wavelet transform (DT-CDWT). Our method produces watermarked images that have better quality and are robust with respect to attacks on the following types: marking, clipping, image compressions, rotation, resizing and so on. We also prove that high-frequency components obtained using the DYWT based on IA (IDYWT) contain low-frequency components. Based on this property,
We develop new digital image watermarking methods for authentication based on the IDYWT. This method is a kind of content-based watermarking, because it generates a watermark from the host image and authenticates the test image by comparing two types of watermarks constructed using the test image. Our method produces high-quality watermarked images and can locate the areas that have been tampered with.
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