Odometry is crucial for robot navigation, particularly in situations where global positioning
methods like global positioning system are unavailable. The main goal of odometry is to …

Real-time 6D pose estimation is a key component for autonomous indoor navigation of
Unmanned Aerial Vehicles (UAVs). This letter presents a low-latency LiDAR SLAM …

This paper reformulates adaptive filters (AFs) in the framework of geometric algebra (GA),
developing a complete study of the resulting geometric-algebra adaptive filters (GAAFs) …

Geometric-algebra based adaptive filters have been successfully employed in many
applications such as computer vision, data fusion and linear prediction where the unknown …

Recently, the geometric-algebra theory and the geometric-algebra based adaptive filters
have been applied to numerous applications, such as 3D wind speed, computer vision and …

Registration algorithms, such as Iterative Closest Point (ICP), have proven effective in
mobile robot localization algorithms over the last decades. However, they are susceptible to …

Recently, a new class of multivector-valued adaptive filters, called geometric-algebra
adaptive filters (GA-AFs), have been proposed and applied to 3D registration of point clouds …

Simultaneous localization and mapping have become a basic requirement for most
automatic moving robots. However, the LiDAR scan suffers from skewing caused by high …

In this paper, we classify different approaches, or architectures, for implementing high-
integrity, lidar-based positioning for road vehicles. Our emphasis is on analytical, geometry …

Abstract Most commercially available Light Detection and Ranging (LiDAR) s measure the
distances along a 2D section of the environment by sequentially sampling the free range …