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Fresnel 회절 모델을 이용한 홀로그램 워터마킹

Hologram Watermarking Using Fresnel Diffraction Model

  • 투고 : 2014.07.17
  • 심사 : 2014.09.16
  • 발행 : 2014.09.30

초록

본 논문은 디지털 홀로그램에 2D 영상에서의 Fresnel 변환의 특성을 이용하여 워터마킹 기법을 제안했다. Fresnel 변환을 2D 영상에 적용할 경우 거리에 따라서 가운데로 집중되는 현상을 가진다. Fresnel 변환을 디지털 홀로그램에 적용할 경우 초점이 맞는 거리에서 객체의 상이 맺히며 2D 형태의 회절 패턴을 만든다. 이러한 Fresnel 변환의 특성을 이용하여 디지털 홀로그램을 Fresnel 변환을 이용하여 2D형태의 회절패턴을 생성하고 여기에 다시 Fresnel 변환을 수행함으로써 영상 주변부로 워터마크 영역을 생성한다. 이러한 워터마크 영역에 Fresnel 변환을 수행한 워터마크를 삽입하고 추출한다. 워터마크를 삽입한 홀로그램에 블러링, 샤프닝, 압축등의 공격을 가한 뒤 추출하였을 때 워터마크가 홀로그램 복원 하였을 때 손상된 정도에 비하여 충분히 가시성을 가진다.

This paper is to propose an algorithm for digital hologram watermarking by using a characteristic of the Fresnel diffraction model in 2D image. When 2D image is applied Fresnel transform, the result concentrates center region. When applied to a hologram, on the other hand, the result focused diffraction pattern of 2D form. Using this characteristic, to generate diffraction model by applying 2-th Fresnel transform to the hologram. Corner of diffraction model is mark space. This mark space is embedded watermark and extracted watermark. Experimental results showed that all the extracted watermarks after several kinds of attacks (Gaussian blurring, Sharpening, JPEG compression) showed visibilities good enough to be recognized to insist the ownership of the hologram.

키워드

참고문헌

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