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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Efficient implementation of all-digital interpolation.

B Vrcej1, P P Vaidyanathan

  • 1Department of Electrical Engineering California Institute of Technology, Pasadena, CA 91125, USA.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 8, 2008
PubMed
Summary
This summary is machine-generated.

This study simplifies B-spline signal processing by reducing complexity in signal reconstruction. A direct B-spline filter can be replaced with a short FIR filter, maintaining performance in image processing applications.

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Area of Science:

  • Digital Signal Processing
  • Image Processing

Background:

  • B-splines offer continuous representation for discrete signals, crucial for image interpolation, rotation, and edge detection.
  • Traditional B-spline coefficient computation relies on a computationally intensive IIR noncausal direct B-spline filter.

Purpose of the Study:

  • To introduce a simplified implementation for B-spline signal reconstruction, reducing overall computational complexity.
  • To demonstrate the feasibility of replacing the direct B-spline filter with a shorter FIR filter without performance degradation.

Main Methods:

  • Developing a simplified algorithm for the indirect B-spline filter used in signal reconstruction.
  • Implementing and evaluating a short Finite Impulse Response (FIR) filter as a substitute for the direct B-spline filter.

Main Results:

  • The proposed simplified signal reconstruction significantly reduces computational complexity.
  • Replacing the direct B-spline filter with a short FIR filter yields results visually and numerically comparable to the traditional method.
  • The new methods show comparable performance in image processing tasks like edge detection and least squares approximation.

Conclusions:

  • Simplified B-spline signal reconstruction offers substantial computational advantages.
  • The direct B-spline filter can be effectively replaced by a short FIR filter, simplifying implementation and reducing complexity in image processing.
  • The proposed methods provide efficient alternatives for B-spline-based signal processing applications.