Single frame digital fringe projection profilometry for 3-D surface shape measurement

Abstract Multiple frame digital fringe projection technique is widely used for measuring the 3-D surface shape. In dynamic situations single frame analysis techniques are desirable. In this paper we discuss a Hilbert transform based single-frame analysis. Hilbert transformation method requires only one fringe pattern for the extraction of phase reducing the calculation time. The method is easy to implement, and it is capable of conducting automated measurements at video frame rate. The application of the proposed method for curved surfaces is emphasized. A few experimental results are presented.

[1]  K. Larkin Natural demodulation of two-dimensional fringe patterns. II. Stationary phase analysis of the spiral phase quadrature transform. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  M. A. Oldfield,et al.  Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Mumin Song,et al.  Overview of three-dimensional shape measurement using optical methods , 2000 .

[4]  Michael A. Sutton,et al.  Development and assessment of a single-image fringe projection method for dynamic applications , 2001 .

[5]  Toru Yoshizawa,et al.  Handbook of Optical Metrology: Principles and Applications , 2009 .

[6]  H J Tiziani,et al.  Microshape and rough-surface analysis by fringe projection. , 1994, Applied optics.

[7]  Sai Siva Gorthi,et al.  Fringe projection techniques: Whither we are? , 2010 .

[8]  Chenggen Quan,et al.  Microscopic surface contouring by fringe projection method , 2002 .

[9]  Satoru Toyooka,et al.  Dynamic electronic speckle pattern interferometry (DESPI) phase analyses with temporal Hilbert transform. , 2003, Optics express.

[10]  Kieran G. Larkin,et al.  Design and assessment of symmetrical phase-shifting algorithms , 1992 .

[11]  K Larkin,et al.  A self-calibrating phase-shifting algorithm based on the natural demodulation of two-dimensional fringe patterns. , 2001, Optics express.

[12]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[13]  M. P. Kothiyal,et al.  Time average vibration fringe analysis using Hilbert transformation. , 2010, Applied optics.

[14]  Satoru Toyooka,et al.  Use of dynamic electronic speckle pattern interferometry with the Hilbert transform method to investigate thermal expansion of a joint material. , 2006, Applied optics.

[15]  Sai Siva Gorthi,et al.  Three dimensional shape measurement using high-order instantaneous moments based fringe projection method , 2011 .

[16]  Wolfgang Osten,et al.  Optical Inspection of Microsystems , 2006 .

[17]  Chenggen Quan,et al.  Shape measurement of small objects using LCD fringe projection with phase shifting , 2001 .

[18]  K. Hibino,et al.  Phase shifting for nonsinusoidal waveforms with phase-shift errors , 1995 .