Abstract ID:2276 Programm Nr 2276 3D Quantitative Evaluation System for Integral Photography based 3D Autostereoscopic Medical Display Zhencheng Fan, Sen Zhang, Yitong Weng, Guowen Chen and Hongen Liao Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing, China 模板 更新成英文 清华大学重点突出一下

Background 3D medical display --- 3D images with spatial information , assist surgeons Main categories Stereoscopic display need supplementary instruments fatigue not for multi-viewers Auto-stereoscopic display without supplementary instruments multi-viewers a promising one Google glass Da Vinci 图像 IP based 3D display

Background 3D Quantitative Evaluation System Main parameters Viewing angle Depth of the 3D displayed object Image quality Demands: Evaluation --- systemic, objective, quantitative 强调autostereoscopic displayer factors 现有的研究对参数并没有定量的三维评估， 背景（加入） 图像 删掉 存在的问题点 和 评估的参数 3D Quantitative Evaluation System

3D auto-stereoscopic displayer Methods System Overview stereo-camera 3D auto-stereoscopic displayer workstation platform auto-control image processing image acquisition 改图 相机方向 平台（不要凸显 或者是改小 或者是用箭头显示）

Methods Main factors to be evaluated Image quality --maintenance of image details -Modulation Transfer Function (MTF) -2D correlation coefficient Depth of the 3D displayed object -Relative deviation of depth displayed (RDD) Viewing angle -the maximum angle without flipping

Methods Design of 3D evaluation reference patterns 3D zone plate pattern To measure the image quality Generation formula: |x| is the radius of the displayed object g(x) is the intensity of the generated pattern 1/8 3D zone plate pattern: Pattern with double corners to measure the viewing angle to measure the RDD Spatial relationship 20mm

Experiments IP based 3D autostereoscopic display Integral Photography without using supplementary instruments full parallax, multi-viewers point retracing rendering algorithm H. Liao, et al. (2000) 显示器 构造 性能 参数 用的方法 IP的原理

3D autostereoscopic medical display Experiments IP based pattern Evaluation system 3D autostereoscopic medical display platform stereo-camera 3D display nexus10(300dpi) lens (pitch:1.016mm, gap:3mm) Rotation platform --rotation XYZ platform --movement Stereo-camera --(Guppy PRO F125c) 1280*960

3D autostereoscopic medical display Experiments Camera calibration 3D autostereoscopic medical display platform stereo-camera 10*7 chessboard Zhang’s method Viewing angle One camera Rotation: rotate angle 1° Serious of images Image with no flipping Depth displayed Stereo-camera Computer vision Image quality One camera Formula mentioned above

2D correlation coefficient after logarithmic scaling Results Viewing angle Parameters 1/° 2/° 3/° Average/° Error horizontal viewing angle 17.0 16.0 18.0 -11.6% vertical 19.5 22.0 21.0 20.8 -6.01% theoretical viewing angle: horizontal 19.22° vertical 22.13° Relative deviation of depth displayed theoretical depth: 20mm Actual depth: 13.54mm, RDD: -32.3% Image quality --maintenance of image details -MTF -2D correlation coefficient 太挤了 Parameters 1 2 3 Average 2D correlation coefficient 0.0663 0.0651 0.0652 0.0655 2D correlation coefficient after logarithmic scaling 0.639 0.636 0.638

Results Evaluation results based on 3D medical image Viewing angle Parameters 1/° 2/° 3/° Average/° Error horizontal viewing angle 17.0 16.0 19.0 17.3 -9.99% vertical 19.5 18.5 -14.1% Relative deviation of depth displayed theoretical depth: 48.68mm Actual depth: 40.14mm, RDD: -17.5% Image quality --maintenance of image details -MTF -2D correlation coefficient 0.503(after logarithmic scaling)

3D autostereoscopic medical display Discussion Error: IP display technology Viewing angle lens array, pixels under lens Displayed depth lens array, gap Image quality PRR algorithm, lens array System error Image acquisition system positional accuracy, environment 3D autostereoscopic medical display platform stereo-camera 评估方式 补充实验 评估的是显示器本身 讨论标准的误差 以及显示器本身的误差源 Evaluation results --corresponding to characteristics of IP

3D auto-stereoscopic displayer Conclusion A standard 3D quantitative evaluation system 3D evaluation reference pattern algorithms for quantitative analysis IP based 3D autostereoscopic display three parameters viewing angle, RDD and image quality stereo-camera 3D auto-stereoscopic displayer workstation platform auto-control image processing image acquisition

Conclusion Future work: algorithms settings of devices 3D evaluation reference patterns algorithms settings of devices 3D quantitative evaluation system systemic, objective, quantitative beneficial for design of 3D display IP based display & other 3D autosterescopic display 评估方式

Thank you! http://at3d.med.tsinghua.edu.cn/ Acknowledgment: The authors thank the support of National Natural Science Foundation of China (Grant No. 81271735, 61361160417, 81427803) and Grant-in-Aid of Project 985. 实验室网页链接 http://at3d.med.tsinghua.edu.cn/

Appendix Zone plate pattern Where km denotes spatial frequency and rm determines the maximum of the radius of the diffraction ring. g0 is the value of the amplitude modulation. |x| is the radius of the displayed object. g(x) is the intensity of the generated pattern.

Appendix Theoretical viewing angle of IP based 3D display

2D correlation coefficient(log) Appendix Deviations of three factors between 3D medical images and 3D evaluation reference pattern Parameters Viewing angle RDD 2D correlation coefficient(log) Horizontal Vertical Medical images 17.3° 19.0° -17.5% 0.503 Reference pattern 17.0° 20.8° -32.3% 0.638 Relative deviation 1.7% -8.7% -45.8% 21.2%