A simple geometric method for 3D morphology reconstruction of a cell based on two orthogonal phase images

Figures & data

Figure 1. (a) Binucleate cell micrograph; (b) the approximate model; (c,d) the 2D and 3D phase distribution along y axis; (e,f) the 2D and 3D phase distribution along z axis.

Figure 2. Schematic diagram of the reconstruction algorithm.

Figure 3. Flowchart of geometric rotation reconstruction method.

Figure 4. Binuclear cell contour images. (a) The edge-strength of the phase image in x-z plane, (b–d) the contours of the cell membrane, ellipsoidal nucleus and spherical nucleus, (e–h) the corresponding results in x-y plane.

Figure 5. Dinuclear cell reconstruction results by geometric rotation algorithm. (a–c) The 3D surfaces of the cell membrane, ellipsoidal nucleus and spherical nucleus; (d) 3D complete surface of the cell.

Table 1. Reconstruction errors of each part of the cell.

	Radius/volume	Theoretical value/μm (μm^3)	Experimental value/μm (μm^3)	Absolute error/μm (μm^3)	Relative error
Cell membrane	R	8.0000	7.9220	0.0878	0.98%
	V0	2144.7000	2082.5000	62.2000	2.90%
Ellipsoidal nucleus	a	4.0000	3.9322	0.0768	1.69%
	b	2.7000	2.6364	0.0636	2.35%
	c	2.5000	2.4435	0.0765	2.60%
	V1	113.1000	105.7000	7.4000	6.54%
Spherical nucleus	r	2.5000	2.4536	0.0640	2.56%
	V2	65.4000	60.6000	4.8000	7.34%

Figure 6. Principle of experimental setup. LS: light source; FL: frosted lens; OF: optical filter; A: aperture; M: mirror; MO: microscopy objective; BS: beam splitter.

Figure 7. (a) The bright field micrograph of the neutrophil; (b–d) the 3D unwrapped phase images of different neutrophil.

Figure 8. (a) The bright field micrograph of the neutrophil; (b,d) the 2D unwrapped phase images along x and y axes; (c,e) the 3D unwrapped phase images corresponding to (b,d,f,g) the edge-strengths of the phase image in x-z and y-z planes, (h) 3D reconstruction result of the cell.