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A New Image Encryption Method using Quad-tree based Fresnelet Transform

쿼드트리 방식의 프레넬릿 변환을 이용한 영상의 암호화 기법

  • Seo, Young-ho (School of Liberal Arts, Kwangwoon University) ;
  • Lee, Yoon-hyuk (Department of Electronic Materials Engineering, Kwangwoon University) ;
  • Kim, Dong-wook (Department of Electronic Materials Engineering, Kwangwoon University)
  • Received : 2015.08.19
  • Accepted : 2015.09.25
  • Published : 2015.12.31

Abstract

This paper proposes a new method which traces significant element of 2-dimensional natural images and encrypts them by using Fresnelet transform (FRNLT). After analyzing property of the subbands obtained by the FRNLT, we estimated the information for ciphering 2D images. Considering FRNLT levels, energy of subbands, and visual effect, we estimated the optimized point for encryption. By selecting various levels and encrypting region, we can encrypt 2D image with various robustness. Encryption effectiveness was showed by analyzing numerical result, executing time for encryption, area of encrypted region, and visual observation. Therefore encryption for various application can be applied by using the suggested parameters without additional analysis. Identifying the experimental result, in the case of $L_{TH}=4$ and $L_{TH}=4$, an image was not recognized through encrypting only 0.42% among the entire data.

본 논문에서는 이산 프레넬릿 변환(Fresnelet transform, FRNLT)을 이용하여 2차원 자연 영상의 중요 성분을 추적하고 암호화하는 방법을 제안한다. FRNLT을 통해서 얻어진 부대역의 특성을 분석하여 영상을 암호화하기 위한 정보를 추출한다. FRNLT 레벨, 부대역의 에너지, 그리고 시각적인 효과를 고려하여 암호화를 위한 최적화된 지점을 도축한다. 다양한 레벨과 암호화 영역을 선택함으로써 다양한 강도로 암호화가 가능하다. 암호화 효과는 정량적인 PSNR 결과, 암호화를 위한 CPU 시간, 암호화 영역의 크기, 그리고 시각적인 영향 등의 항으로 분석하여 경향성을 제시한다. 따라서 별도의 분석과정 없이 본 논문에서 제시된 파라미터를 이용하여 응용분야에 따라서 효율적으로 암호화를 수행할 수 있다. 실험결과를 살펴보면 $L_{TH}=4$이고 $E_{TH}=60$인 경우에 전체 데이터 중에서 0.42%만을 암호화하여도 원래의 영향을 분간할 수 없을 만큼 암호화 효과를 얻을 수 있었다.

Keywords

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