Non-uniform smoothing

  • Tony Lindeberg
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 256)


Although the linear scale-space representation generated by smoothing with the rotationally symmetric Gaussian kernel provides a theoretically well-founded framework for handling image structures at different scales, the scale-space smoothing has the negative property that it leads to shape distortions. For example, smoothing across “object boundaries” can affect both the shape and the localization of edges in edge detection. Similarly, surface orientation estimates computed by shape-from-texture algorithms are affected, since the anisotropy of a surface pattern may decrease when smoothed using a rotationally symmetric Gaussian.


Diffusion Equation Gaussian Kernel Commutative Diagram Moment Matrix Shape Distortion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Tony Lindeberg
    • 1
  1. 1.Royal Institute of TechnologyStockholmSweden

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