Formulation of in-line holography process by a linear shift invariant system: application to the measurement of fiber diameter

Direct particle depth displacement measurement in DHPTV using spatial correlation of focus metric curves

“…1, includes digital recording with plane wave illumination or elliptical Gaussian beam illumination and thereafter numerical reconstruction, such as the wavelet method, and it can be described as a linear invariant system according to the diffraction theory [28,29]. The reconstructed image I x y z ( , , ) 1 can be written as a convolution of the PSF (point spread function) and the particle:…”

“…The particle hologram was reconstructed with the wavelet reconstruction method through a convolution of the hologram and the wavelet function [28]: π λσ − + , and its value should be carefully determined to meet two conditions: (1) the wavelet function must be approximately confined within to CCD;…”

Three dimensional digital holographic profiling of micro-fibers

“…Previous studies have addressed the issue of fiber measurements for a predefined off-axis tilt [7,8]. The tilt was used to identify the pixels of the fiber.…”

“…A few studies have dealt with the development of localization algorithms for fibers. These studies have thus far been limited to the analysis of the projections of particles in the plane of the camera [6], or require the knowledge about the orientation or the size of the object [7,8,9]. However, in several practical situations e.g.…”

Direct extraction of the mean particle size from a digital hologram

“…9,6,10 Global estimation of the particles average size is however possible in a simpler and therefore faster method through direct analysis of the hologram. We describe this direct extraction method in the following section.…”