5.2  Point Cloud Display 
5.2.1  Coordinate Mapping 
Since the data packet output by the LiDAR only provides the horizontal rotation angle and 
distance  parameters,  in  order  to  present  a  3D  point  cloud  image,  the  angle  and  distance 
information in polar coordinates need to be converted into x, y, z coordinates in the Cartesian 
coordinate system, and the conversion formula is as follows: 
{
𝑥=𝑟𝑐𝑜𝑠(𝜔)𝑠𝑖𝑛(𝛼);
𝑦=𝑟 𝑐𝑜𝑠(𝜔)𝑐𝑜𝑠(𝛼);
𝑧=𝑟 𝑠𝑖𝑛(𝜔);
   
Where 𝑟  is the measured distance,    is the vertical angle of the laser,    is the horizontal 
rotation angle of the laser in the Polar Coordinate System, and x, y, z are the coordinate values in 
the Cartesian Coordinate System. 
Note 1: ROS source code of RS-Helios-16P has by default completed the coordinate conversion to conform to the 
right-handed coordinate system of ROS. The X-axis of ROS is the positive Y direction in Figure 1, and the Y-axis of 
ROS is the negative X direction in Figure 1.   
Note 2: The origin of the LiDAR sensor coordinate is 63.5mm above the LiDAR base, on the center axis.