Introduction to Freeform Surface Modelling

Author(s):  
Nikola Vukašinović ◽  
Jože Duhovnik
Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1304
Author(s):  
Wenchao Wu ◽  
Yongguang Hu ◽  
Yongzong Lu

Plant leaf 3D architecture changes during growth and shows sensitive response to environmental stresses. In recent years, acquisition and segmentation methods of leaf point cloud developed rapidly, but 3D modelling leaf point clouds has not gained much attention. In this study, a parametric surface modelling method was proposed for accurately fitting tea leaf point cloud. Firstly, principal component analysis was utilized to adjust posture and position of the point cloud. Then, the point cloud was sliced into multiple sections, and some sections were selected to generate a point set to be fitted (PSF). Finally, the PSF was fitted into non-uniform rational B-spline (NURBS) surface. Two methods were developed to generate the ordered PSF and the unordered PSF, respectively. The PSF was firstly fitted as B-spline surface and then was transformed to NURBS form by minimizing fitting error, which was solved by particle swarm optimization (PSO). The fitting error was specified as weighted sum of the root-mean-square error (RMSE) and the maximum value (MV) of Euclidean distances between fitted surface and a subset of the point cloud. The results showed that the proposed modelling method could be used even if the point cloud is largely simplified (RMSE < 1 mm, MV < 2 mm, without performing PSO). Future studies will model wider range of leaves as well as incomplete point cloud.


2021 ◽  
Vol 186 ◽  
pp. 106194
Author(s):  
Meenatai G. Kamble ◽  
Anurag Singh ◽  
Vijendra Mishra ◽  
Murlidhar Meghwal ◽  
Pramod K. Prabhakar

Author(s):  
Feifei Chen ◽  
Yunpeng Miao ◽  
Guoying Gu ◽  
Xiangyang Zhu

Micromachines ◽  
2021 ◽  
Vol 12 (6) ◽  
pp. 663
Author(s):  
Hui Zhang ◽  
Dengfei Liu ◽  
Yinwan Wei ◽  
Hong Wang

We propose a design method of asymmetric double freeform surface lens for an integrated LED automobile headlamp and develop an integrated LED automobile optical system. A single asymmetric double freeform surface lens is designed to redistribute rays emitting from the light source for realizing both low and high beams. Moreover, a freeform surface reflector is used to improve the energy efficiency of high beams. The prism placed in the optical path can suppress chromatic dispersion on the edge of the target plane. Simulation and experimental results show that the illumination values and color temperature of the key points can fully meet the requirements of United Nations Economic Commission for Europe vehicle regulations (ECE) R112, 48, and 128. The volume of the whole optical system comprised of freeform surface elements is smaller than that of the low beam system of a traditional headlamp, resulting in saved space, in which other electronic devices can be installed for the safety of the driver, which indicates that the proposed method is practical in the field of automobile lighting.


2005 ◽  
Vol 181 (4) ◽  
pp. 461-478 ◽  
Author(s):  
Tian Xiang Yue ◽  
Ying An Wang ◽  
Ji Yuan Liu ◽  
Shu Peng Chen ◽  
Dong Sheng Qiu ◽  
...  

2018 ◽  
Vol 57 (17) ◽  
pp. 4743 ◽  
Author(s):  
Qun Hao ◽  
Shaopu Wang ◽  
Yao Hu ◽  
Yifeng Tan ◽  
Tengfei Li ◽  
...  

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