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Applied Optics

Applied Optics


  • Vol. 42, Iss. 13 — May. 1, 2003
  • pp: 2329–2335

Shape measurement by use of liquid-crystal display fringe projection with two-step phase shifting

Chenggen Quan, Cho Jui Tay, Xin Kang, Xiao Yuan He, and Huai Min Shang  »View Author Affiliations

Applied Optics, Vol. 42, Issue 13, pp. 2329-2335 (2003)

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The use of an optical fringe projection method with two-step phase shifting for three-dimensional (3-D) shape measurement of small objects is described. In this method, sinusoidal linear fringes are projected onto an object’s surface by a programmable liquid-crystal display (LCD) projector and a long-working-distance microscope (LWDM). The image of the fringe pattern is captured by another LWDM and a CCD camera and processed by a phase-shifting technique. Usually a minimum of three phase-shifted fringe patterns is necessary for extraction of the object shape. In this method, a new algorithm based on a two-step phase-shifting technique produces the 3-D object shape. Unlike in the conventional method, phase unwrapping is performed directly by use of an arccosine function without the need for a wrapped phase map. Hence, shape measurement can be speeded up greatly with this approach. A small coin is evaluated to demonstrate the validity of the proposed measurement method, and the experimental results are compared with those of the four-step phase-shifting method and the conventional mechanical stylus method.

© 2003 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.2830) Instrumentation, measurement, and metrology : Height measurements
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Original Manuscript: September 24, 2002
Revised Manuscript: January 30, 2003
Published: May 1, 2003

Chenggen Quan, Cho Jui Tay, Xin Kang, Xiao Yuan He, and Huai Min Shang, "Shape measurement by use of liquid-crystal display fringe projection with two-step phase shifting," Appl. Opt. 42, 2329-2335 (2003)

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