Mathematics in image processing combining wavelet analysis and numerical method with guaranteed accuracy

小波分析与数值方法相结合的图像处理数学保证精度

• 批准号: 23540145
• 负责人: MINAMOTO Teruya
• 金额: $ 3.24万
• 依托单位: Saga University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540145/
• 关键词: 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; ウェーブレット; 画像数学; 二重ツリー複素数離散ウェーブレット変換; ダイアディック・ウェーブレット; 画像処理; 音声処理

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.

提出了一种基于区间算术和平移不变小波的数字图像盲水印算法。我们的方法产生的水印图像有更好的质量和鲁棒性的以下类型的攻击：标记，剪切，图像压缩，旋转，篡改等。我们还证明了使用基于IA的DYWT（IDYWT）获得的高频分量包含低频分量。基于这一特性，我们提出了一种新的基于IDYWT的认证数字图像水印方法。该方法是一种基于内容的水印技术，它从宿主图像中生成水印，并通过比较使用测试图像构造的两种类型的水印来认证测试图像。我们的方法产生高质量的水印图像，并可以定位已被篡改的区域。

项目成果

Visualization of Digital Audio Watermarking Based on the Dyadic Wavelet Transform

• DOI: 10.1109/itng.2012.84
• 发表时间: 2012-04
• 期刊: 2012 Ninth International Conference on Information Technology - New Generations
• 作者: Teruya Minamoto;Yuji Ogata;Masahiro Sawai

"A digital image watermarking for authentication based on the dual-tree complex discrete wavelet transform and interval arithmetic" 「二重ツリー複素数離散ウェーブレット変換と区間演算を利用した改ざん検出 可能な電子透かし法」

“一种基于双树复离散小波变换和区间算法的数字图像水印认证”

• 发表时间: 2012
• 作者: 大浦龍二;皆本晃弥;R. Ashino;Nobuyuki Kemoto;Teruya Minamoto
• 通讯作者: Teruya Minamoto

A Non-blind Digital Image Watermarking Method Based on the Dyadic Wavelet Transform and Interval Arithmetic

• DOI: 10.1007/978-3-642-27183-0_18
• 发表时间: 2011-12
• 期刊: Advances in Mechanism and Machine Science
• 作者: Teruya Minamoto;Ryuji Ohura

A Digital Image Watermarking for Authentication Based on the Dual-Tree Complex discrete Wavelet Transform and Interval Arithmetic

• DOI: 10.1142/s0219691313600059
• 发表时间: 2013-07
• 期刊: Int. J. Wavelets Multiresolution Inf. Process.
• 作者: Teruya Minamoto;Ryuji Ohura

二重ツリー複素数離散ウェーブレット変換と区間演算を利用した非参照型画像電子透かし法 (A blind digital image watermarking method using the dual-tree complex discrete wavelet transform and interval arithmetic)

双树复离散小波变换和区间算法的盲数字图像水印方法

• 发表时间: 2011
• 作者: Minamoto;T. and Ohura;R;皆本晃弥
• 通讯作者: 皆本晃弥