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Boundary-artifact-free phase retrieval with the transport of intensity equation : fast solution with use of discrete cosine transform

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : Boundary-artifact-free phase retrieval with the transport of intensity equation : fast solution with use of discrete cosine transform
นักวิจัย : Zuo, Chao , Chen, Qian , Asundi, Anand
คำค้น : DRNTU::Engineering::Mechanical engineering
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2557
อ้างอิง : Zuo, C., Chen, Q., & Asundi, A. (2014). Boundary-artifact-free phase retrieval with the transport of intensity equation: fast solution with use of discrete cosine transform. Optics Express, 22(8), 9220-9244. , 1094-4087 , http://hdl.handle.net/10220/19554 , http://dx.doi.org/10.1364/OE.22.009220
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Optics express
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

The transport of intensity equation (TIE) is a two-dimensional second order elliptic partial differential equation that must be solved under appropriate boundary conditions. However, the boundary conditions are difficult to obtain in practice. The fast Fourier transform (FFT) based TIE solutions are widely adopted for its speed and simplicity. However, it implies periodic boundary conditions, which lead to significant boundary artifacts when the imposed assumption is violated. In this work, TIE phase retrieval is considered as an inhomogeneous Neumann boundary value problem with the boundary values experimentally measurable around a hard-edged aperture, without any assumption or prior knowledge about the test object and the setup. The analytic integral solution via Green’s function is given, as well as a fast numerical implementation for a rectangular region using the discrete cosine transform. This approach is applicable for the case of non-uniform intensity distribution with no extra effort to extract the boundary values from the intensity derivative signals. Its efficiency and robustness have been verified by several numerical simulations even when the objects are complex and the intensity measurements are noisy. This method promises to be an effective fast TIE solver for quantitative phase imaging applications.

บรรณานุกรม :
Zuo, Chao , Chen, Qian , Asundi, Anand . (2557). Boundary-artifact-free phase retrieval with the transport of intensity equation : fast solution with use of discrete cosine transform.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Zuo, Chao , Chen, Qian , Asundi, Anand . 2557. "Boundary-artifact-free phase retrieval with the transport of intensity equation : fast solution with use of discrete cosine transform".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Zuo, Chao , Chen, Qian , Asundi, Anand . "Boundary-artifact-free phase retrieval with the transport of intensity equation : fast solution with use of discrete cosine transform."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2557. Print.
Zuo, Chao , Chen, Qian , Asundi, Anand . Boundary-artifact-free phase retrieval with the transport of intensity equation : fast solution with use of discrete cosine transform. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2557.