Korean Journal of Optics and Photonics (한국광학회지)

Optical Society of Korea (한국광학회)
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Phase Unwrapping using Modified Goldstein Algorithm in Digital Holography

디지털 홀로그래피에서의 수정된 골드스타인 알고리즘을 이용한 위상펼침

  • Published : 2007.04.25
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Abstract

Generally, many kinds of phase unwrapping algorithm are used to obtain three-dimensional features in digital holography. The Goldstein algorithm is ra epresentative method. which requires small memory capacity and short execution time fer an unwrapping process. However, the Goldstein algorithm has some problems when the dipole residue is located at the boundary. When the opposite residues are located at the boundary and the distance between the opposite residues is longer than the boundary, an incorrect branch cut occurs and results in incorrect calculation. We have modified the Goldstein algorithm to solve the incorrect calculation problem using boundary information. We found that the modified Goldstein algorithm could resolve the Goldstein algorithm's problem.

디지털 홀로그래피를 이용하여 얻어진 위상정보는 위상펼침 알고리즘을 이용하여 3차원 상을 구현할 수 있다. 위상펼침 방법에는 다양한 알고리즘이 사용되고 있다. 이중 연산 시 사용하는 메모리용량이 작고 연산시간이 짧은 골드스타인 알고리즘이 많이 사용된다. 골드스타인 알고리즘은 쌍을 이루는 특이점이 아닌 다른 특이점이 가까울 때 잘못된 연산을 수행하여 잘못된 3차원 정보를 준다. 이러한 골드스타인 알고리즘의 오류를 특이점과 경계면 데이터를 이용하여 수정하였다. 수정된 알고리즘을 이용하면 분해 한계 영역의 데이터도 복원될 수 있음을 확인하였다. 수정된 알고리즘의 연산시간은 골드스타인 알고리즘보다 약 10%가 증가되지만 다른 알고리즘에 비하면 연산시간이 짧다.

Keywords

References

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