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AFFINE INVARIANT SCALE-SPACE
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DOI：10.1007/BF01420591.png)
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A new affine invariant scale-space for planar curves is presented in this work. The scale-space is obtained from the solution of a novel nonlinear curve evolution equation which admits affine invariant solutions. This flow was proved to be the affine analogue of the well known Euclidean shortening flow. The evolution also satisfies properties such as causality, which makes it useful in defining a scale-space. Using an efficient numerical algorithm for curve evolution, this continuous affine flow is implemented, and examples are presented. The affine-invariant progressive smoothing property of die evolution equation is demonstrated as well.
Keyword:
CURVE SHORTENING FLOW
FUNDAMENTAL EQUATIONS
PARABOLIC EQUATIONS
MULTISCALE ANALYSIS
VISCOSITY SOLUTIONS
MEAN-CURVATURE
EDGE-DETECTION
PLANAR CURVES
SHAPE
DIFFUSION
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期刊
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9.3
论文数:
3.9K
被引数:
2.8W
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