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Fringe pattern demodulation using the one-dimensional continuous wavelet transform: field-programmable gate array

Abdulbasit Abid1

  • 1Umm Al-Qura University, College of Computer and Information Systems, Computer Engineering Department, Makkah, Saudi Arabia. azabid@uqu.edu.sa

Applied Optics
|March 6, 2013
PubMed
Summary

Field-programmable gate array (FPGA) implementation of the one-dimensional continuous wavelet transform (1D-CWT) significantly accelerates fringe pattern demodulation. This FPGA approach achieves a sixfold speedup compared to optimized workstation implementations.

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Area of Science:

  • Optical Metrology
  • Digital Signal Processing
  • Computer Engineering

Background:

  • Fringe pattern analysis is crucial for optical metrology applications.
  • Wavelet transform profilometry offers a robust method for phase retrieval.
  • Efficient algorithms are needed to process large fringe pattern datasets in real-time.

Purpose of the Study:

  • To propose and evaluate a field-programmable gate array (FPGA) implementation of the one-dimensional continuous wavelet transform (1D-CWT) for fringe pattern demodulation.
  • To compare the performance of the FPGA-based 1D-CWT with software implementations on a high-performance workstation.
  • To demonstrate the potential for significant acceleration in fringe analysis.

Main Methods:

  • The one-dimensional continuous wavelet transform (1D-CWT) algorithm was programmed in C and compiled to VHDL using the ImpulseC tool.
  • The VHDL code was implemented on an Altera Cyclone IV GX EP4CGX150DF31C7 FPGA.
  • Performance was benchmarked against C-based implementations, including one optimized with the Intel Integrated Primitive Performance (IPP) Library.

Main Results:

  • The FPGA implementation processed a 512x512 fringe pattern image in approximately 100 ms.
  • A software implementation on a state-of-the-art workstation took approximately 1 s.
  • Optimization using the Intel IPP library reduced workstation execution time to ~650 ms, still significantly slower than the FPGA.

Conclusions:

  • FPGA implementation of 1D-CWT provides a substantial speedup for fringe pattern demodulation.
  • The proposed FPGA approach offers a significant performance advantage over heavily optimized software solutions.
  • This work highlights the effectiveness of hardware acceleration for complex image processing tasks in optical metrology.