# Wand-Based Calibration Accuracy for Unsynchronized Multicamera Systems Without Timestamps

## TL;DR

This paper introduces a new wand-based calibration method for multicamera systems that works without relying on camera timestamps, improving accuracy in 3D reconstruction.

## Contribution

A novel calibration method for asynchronous multicamera systems that eliminates the need for timestamp functions.

## Key findings

- The proposed method reduces 3D reconstruction errors of fixed points compared to methods ignoring time offsets.
- Estimated errors using the new method are 1.445 ± 0.833 mm, significantly lower than 1.746 ± 0.908 mm from conventional approaches.

## Abstract

Motion capture experiments can be conducted more easily if marker-based motion (marker-based MoCap) can be captured using an asynchronous multicamera system (Async MCS). However, camera calibration is essential for marker-based MoCap, and a wand calibration method that utilizes timestamp functions has been proposed for Async MCS. However, in practice, many cameras do not provide accurate timestamp functions, limiting the applicability of existing methods in such environments. A wand calibration method for Async MCS that does not rely on timestamp functions is proposed to evaluate the accuracy of estimated camera parameters. In conventional methods, the time offset in image acquisition is obtained from timestamp information, and synchronous coordinates are estimated by interpolating time-series digitized coordinates of wand markers. In this study, the time offset is treated as an optimization variable, which enables camera parameter estimation without using timestamp functions. Consequently, the three-dimensional reconstruction errors of fixed points obtained using the proposed method are significantly smaller (1.445 ± 0.833 and 1.746 ± 0.908 mm) compared to estimations that ignore time offsets. These findings demonstrate that the proposed method enables more accurate camera calibration.