Reconstruction of optical vector-fields with applications in endoscopic imaging
For medical imaging, this method improves early cancer detection via endoscopic vector-field reconstruction, though it is an incremental application of existing regularization techniques.
The paper introduces a framework for reconstructing amplitude, phase, and polarization of optical vector-fields from calibration measurements with an unknown linear transformation, enabling recovery in a Fourier basis. Applied to endoscopic imaging, it distinguishes healthy tissues from early-stage oesophageal cancer lesions using synthetic and biological samples.
We introduce a framework for the reconstruction of the amplitude, phase and polarisation of an optical vector-field using calibration measurements acquired by an imaging device with an unknown linear transformation. By incorporating effective regularisation terms, this new approach is able to recover an optical vector-field with respect to an arbitrary representation system, which may be different from the one used in calibration. In particular, it enables the recovery of an optical vector-field with respect to a Fourier basis, which is shown to yield indicative features of increased scattering associated with tissue abnormalities. We demonstrate the effectiveness of our approach using synthetic holographic images as well as biological tissue samples in an experimental setting where measurements of an optical vector-field are acquired by a fibre endoscope, and observe that indeed the recovered Fourier coefficients are useful in distinguishing healthy tissues from lesions in early stages of oesophageal cancer.