  We introduce a novel method for odometry estimation using convolutional
neural networks from 3D LiDAR scans. The original sparse data are encoded into
2D matrices for the training of proposed networks and for the prediction. Our
networks show significantly better precision in the estimation of translational
motion parameters comparing with state of the art method LOAM, while achieving
real-time performance. Together with IMU support, high quality odometry
estimation and LiDAR data registration is realized. Moreover, we propose
alternative CNNs trained for the prediction of rotational motion parameters
while achieving results also comparable with state of the art. The proposed
method can replace wheel encoders in odometry estimation or supplement missing
GPS data, when the GNSS signal absents (e.g. during the indoor mapping). Our
solution brings real-time performance and precision which are useful to provide
online preview of the mapping results and verification of the map completeness
in real time.
