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회절연산 정밀도에 따른 CGH 기반 홀로그램 생성 품질 분석

Quality Analysis on Computer Generated Hologram Depending on the Precision on Diffraction Computation

  • 이재홍 (한국기술교육대학교 컴퓨터공학과) ;
  • 김덕수 (한국기술교육대학교 컴퓨터공학과)
  • 투고 : 2022.12.02
  • 심사 : 2023.01.13
  • 발행 : 2023.01.30

초록

컴퓨터 생성 홀로그래피는 일반 이미지에 비해 연산 부하와 메모리 요구량이 크다. 본 논문은 정밀도를 낮추어 연산속도를 높이는저정밀도(low-precision) 및 혼합정밀도(mixed precision) 연산 방법을 회절연산에 적용하여, 정밀도에 따른 홀로그램의 생성 속도와 품질의 변화를 분석한다. 본 논문은 배정밀도, 단정밀도, bfloat16 정밀도에서의 회전 연산을 비교하였으며, bfloat16의 회절연산의 속도가 배정밀도에 비해 최대 5.94배, 단정밀도에 비해 1.52배 빠른 것을 확인하였다. 또한, MSE, PSNR, SSIM을 기준으로 회절 연산의오차를 측정하였으며, 정밀도가 낮아질수록 홀로그램 품질이 낮아지는 것을 확인했다. 하지만, 정성적인 이미지 품질에는 유의미한 영향이 없는 것을 확인했다. 이러한 결과는, bfloat16등 낮은 정밀도 연산의 홀로그램 연산으로의 적용 가능성을 보여준다.

Computer-generated holography requires much more computation costs and memory space rather than image processing. We implemented the diffraction calculation with low-precision and mixed-precision floating point numbers and compared the processing time and quality of the hologram with various precision. We compared diffraction quality with double, single and bfloat16 precision. bfloat16 shows 5.94x and 1.52x times faster performance than double precision and single precision. Also, bfloat16 shows lower PSNR and SSIM and higher MSE than other precision. However, there is no significant effect on reconstructed images. These results show low precision, like bfloat16, can be utilized for computer-generated holography.

키워드

과제정보

이 논문은 2022년도 정부(교육부)의 재원으로 한국연구재단의 지원을 받은 기초연구사업(No. 2021R1I1A3048263 40%), 지차제-대학 협력기반 지역혁신 사업(2021RIS-004, 20%), 그리고 정부(과학기술정보통신부)의 재원으로 정보통신기획평가원의 지원(No.2019-0-00001, 40%)을 받아 수행된 연구임

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