Research field (5):
Perceptual information processing
, Educational technology
, Intelligent informatics
, Applied mathematics and statistics
, Basic mathematics
Research theme for competitive and other funds (13):
2022 - 2025 ウェーブレット変換の拡張とその画像処理への応用
2019 - 2023 Image feature extraction based on wavelet, topological data analysis, deep learning, and its theory
2016 - 2018 Digital image watermarking for authentication based on the lifting wavelet transform
2015 - 2018 Inquiry of value of developing Academic Portfolio and support for its dissemination
2014 - 2017 Digital watermarking based on shift invariant wavelets and numerical computations and its mathematical theory
2011 - 2013 Mathematics in image processing combining wavelet analysis and numerical method with guaranteed accuracy
2003 - 2005 非凸領域におけるパラメータ依存方程式に対する解の数値的検証法
2003 - 大学数学教育におけるブレンディッドラーニング
2001 - 2002 非線型パラメータ依存方程式に対する精度保証付き数値計算の研究
1999 - 2002 Discrimination theory of wavelet filters with learning ability
1998 - 2001 Discovery of structure from color images by entropy minimization learning of neural networks
非線形微分方式に対する解の数値的検証法
Numerical Verification Method for Solutions of nonlinear defferential equations.
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Papers (33):
Takuma Kimura, Teruya Minamoto, Mitsuhiro T. Nakao. Improvement of the Constructive A Priori Error Estimates for a Fully Discretized Periodic Solution of Heat Equation. Computational Methods in Applied Mathematics. 2022
Arata Ide, Ryuji Ohura, Teruya Minamoto. Digital Image Watermarking Method Using The Gyrator And Dyadicwavelet Transforms. 2020 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR). 2020
Hashimoto Kouji, Kimura Takuma, Minamoto Teruya, Nakao Mitsuhiro T. Constructive error analysis of a full-discrete finite element method for the heat equation. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. 2019. 36. 3. 777-790
Ryuji Ohura, Hajime Omura, Yasuhisa Sakata, Teruya Minamoto. Computer-Aided Diagnosis Method for Detecting Early Esophageal Cancer from Endoscopic Image by Using Dyadic Wavelet Transform and Fractal Dimension. INFORMATION TECHNOLOGY: NEW GENERATIONS. 2016. 448. 929-938
Hiroki Matsunaga, Hajime Omura, Ryuji Ohura, Teruya Minamoto. Daubechies Wavelet-Based Method for Early Esophageal Cancer Detection from Flexible Spectral Imaging Color Enhancement Image. INFORMATION TECHNOLOGY: NEW GENERATIONS. 2016. 448. 939-948