A Synthetic Error Analysis of Positioning Equation for Airborne Three-Dimensional Laser Imaging Sensor

TL;DR

This paper provides a detailed mathematical error analysis of the positioning equation used in airborne 3D laser imaging sensors, highlighting how various error sources impact spatial accuracy.

Contribution

It introduces a precise error formula for point positioning and compares the effects of different scanning methods on accuracy.

Findings

Elliptical trace scan and line-trace scan have comparable accuracy under the same error conditions.

The derived error formula clarifies how each error source influences vertical and horizontal coordinates.

The analysis guides improvements in airborne 3D laser imaging sensor accuracy.

Abstract

This paper presents the exact error analysis of point positioning equation used for airborne three-dimensional(3D) imaging sensor. With differential calculus and principles of precision analysis a mathematics formula on the point position error and relative factors is derived to show how each error source affects both vertical and horizontal coordinates. A comprehensive analysis of the related error sources and their achievable accuracy are provided. At last, two example figures are shown to compare the position accuracy of elliptical trace scan and the line-trace scan are drawn under the same error source and some corresponding conclusions.