2010
DOI: 10.1364/oe.18.012552
|View full text |Cite
|
Sign up to set email alerts
|

Transport of Intensity imaging with higher order derivatives

Abstract: We demonstrate a method for improving the accuracy of phase retrieval based on the Transport of Intensity equation by using intensity measurements at multiple planes to estimate and remove the artifacts due to higher order axial derivatives. We suggest two similar methods of higher order correction, and demonstrate their ability for accurate phase retrieval well beyond the 'linear' range of defocus that TIE imaging traditionally requires. Computation is fast and efficient, and sensitivity to noise is reduced b… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
118
0
1

Year Published

2012
2012
2021
2021

Publication Types

Select...
9

Relationship

1
8

Authors

Journals

citations
Cited by 310 publications
(123 citation statements)
references
References 14 publications
0
118
0
1
Order By: Relevance
“…Further, Fig. 1(g) shows a reconstruction based on an improved approximation of the differential quotient by polynomial fitting, as described in Waller et al (2010). This method reduces the influence of noise and manages to slightly reduce the high-frequency artifacts, but as only four images are available here, the resulting object-plane phase distribution still shows deviations from the phantom (ground truth).…”
Section: Phase-retrieval Algorithmsmentioning
confidence: 99%
“…Further, Fig. 1(g) shows a reconstruction based on an improved approximation of the differential quotient by polynomial fitting, as described in Waller et al (2010). This method reduces the influence of noise and manages to slightly reduce the high-frequency artifacts, but as only four images are available here, the resulting object-plane phase distribution still shows deviations from the phantom (ground truth).…”
Section: Phase-retrieval Algorithmsmentioning
confidence: 99%
“…When the light is partially coherent, the phase information cannot be detected at the focal plane, but is encoded by the intensity variation at the defocused planes. Measuring multiple times along the axial direction and taking advantage of the phase retrieval algorithm of the light transport function lend new insights into quantitative phase reconstruction with partially incoherent light (Teague, 1983;Waller et al, 2010b).…”
Section: Phasementioning
confidence: 99%
“…Various computational reconstruction methods have reduced the required measurement number under partially coherent light and realized single-shot quantitative imaging through introducing chromatic aberrations (Waller et al, 2010a) or using a volume holographic microscope (Waller et al, 2010b), etc. These works greatly expand the application scenario and provide new opportunities for label-free dynamic cell observation.…”
Section: Phasementioning
confidence: 99%
“…. , n and where a i,HOFD are the image weight coefficients [41,44]. Soto and Acosta proposed another set of image weight coefficients a i,NR which focuses stronger on noise reduction (NR) [45].…”
Section: Low-frequency Filteringmentioning
confidence: 99%