2013 Fiscal Year Final Research Report
Solving an image separation problem using space-scale analysis by wavelets
| Project/Area Number |
23540135
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Osaka Kyoiku University |
|---|
Principal Investigator |
MORIMOTO Akira 大阪教育大学, 教育学部, 准教授 (50239688)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
ASHINO Ryuichi 大阪教育大学, 教育学部, 教授 (80249490)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
MANDAI Takeshi 大阪電気通信大学, 工学部, 教授 (10181843)
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | ウェーブレット解析 / 画像分離 / 空間スケール解析 / 連続マルチウェーブレット変換 / 円環分割マルチウェーブレット関数 / ブラインド信号源分離 / 応用数学 |
|---|
| Research Abstract |
When we observe mixtures of original images, we want to separate original images. This inverse problem is called an image separation problem. This problem appears, analyzing satellite images. In this research, we studied two-dimensional wavelet analysis for an image separation problem.
We proposed a continuous multiwavelet transformation with annular sector multiwavelets, which is the most suitable transformation for solving an image separation problem. When mixtures are superpositions of original images without translations, we can separate ten original images from eleven mixtures, using the proposed transformation and Gaussian elimination. When mixtures are superpositions of original images with translations, we can separate four original images from four mixtures, using complex-valued correlation functions of continuous multiwavelet transforms.
|
Research Products
(51 results)
