Fig. 1. Camera model with definition of coordinate systems
Fig. 2. Multiview geometry model. (a) Multiview imaging with stereo correspondences; (b) space resection among backward projection rays
Fig. 3. Structure from motion problem
[29] Fig. 4. Integral photography proposed by Lippmann
[17]. (a) Basic imaging principle; (b) light field sampling mode
Fig. 5. 3D integral imaging based on axially distributed sensing
[53]. (a) Pickup strategy for elemental images; (b) reconstructed images at different depths
Fig. 6. 3D integral imaging based on off-axially distributed sensing
[56]. (a) Pickup strategy for elemental images; (b) two elemental images with object occlusion and 3D reconstructed slice images
Fig. 7. 3D integral imaging based on planar camera motion
[59]. (a) Pickup strategy for elemental images; (b) reconstructed image for “car” object; (c) reconstructed image for “signal” object
Fig. 8. 3D imaging system structure with a set of planar mirrors. (a) One mirror
[62]; (b) two mirrors
[64]; (c) three mirrors
[66]; (d) four mirrors
[68] Fig. 9. 3D profile and deformation measurement method combining four-mirror-based 3D imaging system with digital image correlation technique
[72] Fig. 10. Dynamic 3D imaging method combining four-mirror catadioptric system with a pan-tilt mirror
[74]. (a) Optical arrangement; (b) 3D tracking and imaging for a dynamic object
Fig. 11. 3D imaging methods using curved mirrors. (a)-(c) System with two oppositely configured hyperboloidal mirrors, panoramic image captured by system, and 3D reconstruction results
[77]; (d)-(e) system with an array of spherical mirrors, and 3D reconstructed images
[79] Fig. 12. 3D stereo imaging technique using a biprism. (a)-(c) 3D measurement principle based on modified virtual point model, system structure and measurement error map
[82]; (d)-(f) 3D reconstruction principle based on perspective projection model, system structure and reconstructed object
[83] Fig. 13. Stereo endoscopic imaging method using microprism arrays
[89]. (a) System setup; (b) 3D imaging model; (c) prototype of microprism array and system; (d) reconstructed depth maps for an object at different distances
Fig. 14. 3D imaging with an optically transparent plate. (a)-(c) System setup, depth estimation maps, and 3D reconstructed images
[92]; (c)-(f) system setup with a MEMS-driven plate, rectified image, and depth map
[93] Fig. 15. 3D imaging using a rotational wedge prism
[95]. (a) System structure; (b) imaging model; (c) multiview stereo image matching; (d) 3D profile reconstruction; (e) 3D scale reconstruction
Fig. 16. 3D information acquisition based on diffraction grating. (a) 3D digital image correlation measurement system for 3D displacement reconstruction
[100]; (b) 3D diffraction-assisted fluorescent microscopy for 3D displacement reconstruction
[101] Fig. 17. 3D integral imaging using a diffraction grating
[106]. (a) Diffraction-grating-based image capture and computational reconstruction under multi-wavelength laser illumination; (b) 3D reconstructed images from parallax image arrays obtained with different wavelengths
Fig. 18. Calibration of 3D imaging system using planar mirrors
[109]. (a) Respective calibration for two virtual cameras; (b) direct calibration for system parameters.
Fig. 19. Calibration of 3D imaging system using a conic mirror
[111]. (a) Conic mirror structure with multiple control points on mirror base; (b) a calibration image with control points captured by system
Fig. 20. Model-free distortion correction method for biprism-based 3D imaging system
[112] Fig. 21. Calibration method for rotational-prism-based variable-boresight 3D imaging system
[116] Category | Optical element | View division | Strength | Shortcoming |
---|
Reflection | Planar mirrors[62-69] | Space | Simple setup,free from distortion,synchronous image acquisition | Reduced field of view and spatial resolution | Planar mirrors and pan-tilt mirror[74] | Space & Time | Wide field of view,fast dynamic response,multiview acquisition | Complexity in hardware and control,sensitivity to random error sources | Curved mirrors[75-78] | Space | Omnidirectional stereo | Complicated mirror design,limited spatial resolution | Multi-mirror array[79] | Space | Omnidirectional stereo,multiview acquisition | Tradeoff between field of view and resolution | Refraction | Biprism[80-83] | Space | Compact structure,viewpoint symmetry,image synchronization | Biprism distortion,certain perspective,limited field of view | Microprism array[87-89] | Space | Light weight,miniaturization | Increased cost on micro design and fabrication | Transparent plate[91-93] | Time | High-resolution multiview acquisition | Requiring plate rotation,small stereo baseline,limited disparity range | Wedge prism[95-97] | Time | Cost-effective setup,flexible perspective,extended field of view | Requiring prism rotation,increased time for multiview acquisition | Diffraction | Grating under monochromatic illumination[98-102] | Space | Stereoscopic image acquisition,high-accuracy reconstruction | Requiring illumination,limited to micro or small objects | Grating under multi-wavelength illumination[106] | Space & Time | Multi-spectrum image acquisition,enhanced 3D reconstruction quality | Requiring illumination,more time cost for image collection |
|
Table 1. Comparison of 3D imaging methods using various additional optical elements