Scale space

Scale-space theory is a framework for multi-scale signal representation developed by the computer vision, image processing and signal processing communities with complementary motivations from physics and biological vision. It is a formal theory for handling image structures at different scales, by representing an image as a one-parameter family of smoothed images, the scale-space representation, parametrized by the size of the smoothing kernel used for suppressing fine-scale structures. The parameter $t$ in this family is referred to as the scale parameter, with the interpretation that image structures of spatial size smaller than about $\sqrt{t}$ have largely been smoothed away in the scale-space level at scale $t$ .

单词	Scale space
释义	Scale space 英语百科 Scale space Scale-space theory is a framework for multi-scale signal representation developed by the computer vision, image processing and signal processing communities with complementary motivations from physics and biological vision. It is a formal theory for handling image structures at different scales, by representing an image as a one-parameter family of smoothed images, the scale-space representation, parametrized by the size of the smoothing kernel used for suppressing fine-scale structures. The parameter $t$ in this family is referred to as the scale parameter, with the interpretation that image structures of spatial size smaller than about $\sqrt{t}$ have largely been smoothed away in the scale-space level at scale $t$ .
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