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Paper Abstract and Keywords
Presentation 2013-09-13 14:30
A Linear Transformation method in Consideration of Conservation of Energy
Hitoshi Yamauchi, Koichi Ozaki, Yoichiro Sato, Tadao Fukuta, Kiyotaka Obunai (Okayama Prefectural Univ.) LOIS2013-23 IE2013-44 EMM2013-66
Abstract (in Japanese) (See Japanese page) 
(in English) We proposed a nobel image interpolation method, previously. In this method, pixel values are assumed as local area energy, and interpolated pixel values are calculated in conservation the energy. Integration of pixel values is interpolated by B-Spline surface. Pixel value on any coordinates is estimated by partial differentiation of the B-Spline surface.
In this report, a new linear transformation method based on this principle is proposed. Conventional linear transformation is processed by interpolation from source image pixel values which coordinates is calculated by inverse transformation. In the proposed method, pixel values of the transformed image is derived as integrated values of partial differentiation of the B-Spline surface. This integration is calculated using Gauss-Legendre quadrature.
Experimental result on 9-times 10-degree rotate transformation shows that the proposed method achieves higher image quality than conventional methods.
Keyword (in Japanese) (See Japanese page) 
(in English) Linear Transform of Image / Image Interpolation / Local Area Enegy of Image / B-Spline Surface / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 211, IE2013-44, pp. 91-96, Sept. 2013.
Paper # IE2013-44 
Date of Issue 2013-09-05 (LOIS, IE, EMM) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF LOIS2013-23 IE2013-44 EMM2013-66

Conference Information
Conference Date 2013-09-12 - 2013-09-13 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To IE 
Conference Code 2013-09-IE-EMM-LOIS-CMN-ME 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Linear Transformation method in Consideration of Conservation of Energy 
Sub Title (in English)  
Keyword(1) Linear Transform of Image  
Keyword(2) Image Interpolation  
Keyword(3) Local Area Enegy of Image  
Keyword(4) B-Spline Surface  
1st Author's Name Hitoshi Yamauchi  
1st Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
2nd Author's Name Koichi Ozaki  
2nd Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
3rd Author's Name Yoichiro Sato  
3rd Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
4th Author's Name Tadao Fukuta  
4th Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
5th Author's Name Kiyotaka Obunai  
5th Author's Affiliation Okayama Prefectural University (Okayama Prefectural Univ.)
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Date Time 2013-09-13 14:30:00 
Presentation Time 20 
Registration for IE 
Paper # IEICE-LOIS2013-23,IEICE-IE2013-44,IEICE-EMM2013-66 
Volume (vol) IEICE-113 
Number (no) no.210(LOIS), no.211(IE), no.212(EMM) 
Page pp.91-96 
#Pages IEICE-6 
Date of Issue IEICE-LOIS-2013-09-05,IEICE-IE-2013-09-05,IEICE-EMM-2013-09-05 

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