A spatio-frequency trade-off scale for scale-space filtering

A Spatio-Frequency Trade-Off Scale for Scale-Space Filtering

ÐWe study implementation issues for spatial convolution filters and their Fourier alternative, with the aim to optimize the accuracy of filter output. We focus on Gaussian scale-space filters and show that there exists a trade-off scale that subdivides the available scale range into two subintervals of equal length. Below this trade-off scale Fourier filtering yields more accurate results than ...

Spatio-Frequency Analysis of Scale-Space Filtering

We study implementation issues for spatial convolution lters and their Fourier alternative, with the aim to optimise the accuracy of lter output. We focus on Gaussian scale-space lters and show that there exists a trade-o scale that subdivides the available scale range in the sense that the smaller and larger scales are best extracted by Fourier, respectively spatial ltering.

Spatio-Featural Scale-Space

Linear scale-space theory is the fundamental building block for many approaches to image processing like pyramids or scale-selection. However, linear smoothing does not preserve image structures very well and thus non-linear techniques are mostly applied for image enhancement. A different perspective is given in the framework of channelsmoothing, where the feature domain is not considered as a ...

Scale-Space Filtering

The extrema in a signal and its first few derivatives provide a useful general-purpose qualitative description for many kinds of signals. A fundamental problem in computing such descriptions is scale: a derivative must be taken over some neighborhood, but there is seldom a principled basis for choosing its size. Scale-space filtering is a method that describes signals qualitatively, managing th...

Scale space filtering pdf