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Applied Optics

Applied Optics


  • Vol. 17, Iss. 4 — Feb. 15, 1978
  • pp: 660–666

Image restoration by spline functions

M. J. Peyrovian and A. A. Sawchuk  »View Author Affiliations

Applied Optics, Vol. 17, Issue 4, pp. 660-666 (1978)

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Spline functions, because of their highly desirable interpolating and approximating characteristics, are used as a potential alternative to the conventional pulse approximation method in digital image processing. In space-invariant imaging systems, the object and point-spread function are represented by a class of spline functions called B-splines. Exploiting the convolutional property of B-splines, the deterministic part of the degraded image is another B-spline of higher degree. A minimum norm principle leading to pseudoinversion is used for the restoration of space-invariant degradations with underdetermined and overdetermined models. The singular-value-decomposition technique is used to determine the pseudoinverse.

© 1978 Optical Society of America

Original Manuscript: April 18, 1977
Published: February 15, 1978

M. J. Peyrovian and A. A. Sawchuk, "Image restoration by spline functions," Appl. Opt. 17, 660-666 (1978)

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