On the interactions of critical curves, catastrophe points, scale space saddles, and iso-intensity manifolds in Gaussian scale space images under a one-parameter driven deformation
نویسنده
چکیده
In this work we describe the possible transitions for the hierarchical structure that describes an image in Gaussian scale space. Until now, this structure has only been used for topological segmentation, while image matching and retrieval studies ignored the hierarchy. In order to perform such tasks based on the hierarchical structure, one needs to know which transitions are allowed when the structure is changed under influence of one control parameter.
منابع مشابه
Singularities in Gaussian scale space that are relevant for changes in its hierarchical structure
The Gaussian scale space for an n-dimensional image L(x) is defined as its n + 1 dimensional extension L(x, t) being the solution of ∂tL = ∆L,Lt=0 = L(x). A hierarchical structure in L(x, t) is derived by combining the critical curves (∇xL(x, t) = 0) and special points on them, viz. catastrophe points (where detH = 0, H being the Hessian matrix) and scale space saddles (where ∆L = 0), with iso-...
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تاریخ انتشار 2008