A Study on Autonomic High Speed Measurement of a Three Dimensional Shape by Using a Non-Contact Sensor for Detecting an Inclination Angle and a Gap Distance (1st Report): —Design of an element for the Sensor with Multi-beam Projection—

Hideki Aoyama, Kazuo Yamazaki, Kee Sein Lee, Masaji Sawabe

Research output: Contribution to journalArticle


The study is on autonomic high speed measurement of a three dimensional shape by using a non-contact sensor which can continuously and simultaneously detect the normal direction and the position of a measured point. This paper describes the system architecture and a design of the sensor. In order to design the sensor, the principle for detecting a normal direction and a position by reflected light of a beam projected on a measured point is clarified. According to the principle, a structure of the sensor element which has an emitting optical fiber with a graded-index lens and eight receiving optical fibers is determined. Also, computer simulations are performed to make the performance of the sensor element clear. In the simulations, a model-equation which expresses ray-intensity of the projected beam is derived, and reflected light of the beam is modeled by a diffuse component and a specular component. From the simulation-results, it became clear that the sensor element can detect a normal direction in the range from -45.0° to 45.0° and detect a position in the range from 2.7 mm to 6.0 mm for a diffuse surface. For a specular surface, the range of a detected normal direction is restricted from -7.5° to 7.5°.

Original languageEnglish
Pages (from-to)847-852
Number of pages6
JournalJournal of the Japan Society for Precision Engineering
Issue number6
Publication statusPublished - 1994 Jan 1
Externally publishedYes



  • high speed measurement
  • multi-beam projection
  • non-contact sensor
  • normal direction
  • optical fiber
  • position
  • three dimensional shape

ASJC Scopus subject areas

  • Mechanical Engineering

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