Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Fundamentals of digital image processing
Fundamentals of digital image processing
Scale-Space for Discrete Signals
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Algorithms for Low-Level Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Gaussian Scale-Space Theory
Digital Picture Processing
Gaussian Convolutions. Numerical Approximations Based on Interpolation
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
A generalized discrete scale-space formulation for 2-D and 3-D signals
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Fast and accurate Gaussian derivatives based on B-splines
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Theoretical foundations of gaussian convolution by extended box filtering
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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We 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 spatial filtering; above it is the other way around. This should be contrasted with demands of computational speed, which show the opposite tenet.