On the Behaviour of Critical Points under Gaussian Blurring
نویسندگان
چکیده
The level of detail of an image can be expressed in terms of its topology, i.e. the distribution of Morse critical points and their types, which in turn is governed by resolution. We study the behaviour of critical points as a function of resolution for Gaussian scale-space images using catastrophe theory. Unlike existing literature, in which one employs local, so-called canonical coordinates for theoretical convenience, we state results in terms of a global, user-defined Cartesian coordinate system. This enables a fairly straightforward implementation of these results in practice.
منابع مشابه
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