Abstract

This research presents a novel method to calibrate a microscopic structured light system using a camera with a telecentric lens. The pin-hole projector calibration follows the standard pin-hole camera calibration procedures. With the calibrated projector, the 3D coordinates of those feature points used for projector calibration are then estimated through iterative Levenberg-Marquardt optimization. Those 3D feature points are further used to calibrate the camera with a telecentric lens. We will describe the mathematical model of a telecentric lens, and demonstrate that the proposed calibration framework can achieve very high accuracy: approximately 10 μm with a volume of approximately 10(H) mm × 8(W) mm × 5(D) mm.

Highlights

  • With recent advances in precision manufacturing, there has been an increasing demand for the development of efficient and accurate micro-level 3D metrology approaches

  • A structured light (SL) system with digital fringe projection technology is regarded as a potential solution to micro-scale 3D profilometry owing to its capability of high-speed, high-resolution measurement [1]

  • To improve the calibration flexibility and accuracy, Li and Tian [12] has formulated the orthographic projection of telecentric lens into an intrinsic and an extrinsic matrix, and successfully employed this model to an SL system with two telecentric lenses in their later research [14]

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Summary

Introduction

With recent advances in precision manufacturing, there has been an increasing demand for the development of efficient and accurate micro-level 3D metrology approaches. To improve the calibration flexibility and accuracy, Li and Tian [12] has formulated the orthographic projection of telecentric lens into an intrinsic and an extrinsic matrix, and successfully employed this model to an SL system with two telecentric lenses in their later research [14]. This technology has shown the possibility to calibrate a telecentric SL system analogously to a regular pin-hole SL system. We propose a novel framework to calibrate such a structured light system using a camera with a telecentric lens and a projector using a pin-hole lens.

Principle
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