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ICCV
2007
IEEE

Curvature Estimation for Enhancement of Crossing Curves

8 years 11 months ago
Curvature Estimation for Enhancement of Crossing Curves
In this paper we describe a method for estimating curvature of elongated structures in images. The curvature estimation is performed on an invertible orientation score, which is a 3D entity obtained from a 2D image by convolution with a rotating kernel. By considering the group structure we can define left-invariant derivatives, which are essential to construct operations on the orientation score that amount to rotationally invariant operations on the corresponding image. The problem of estimating curvature of an oriented structure is stated as a minimization problem, which can be solved by eigenvector analysis of a matrix constructed from the non-symmetric Hessian matrix. The experiments show the method performs well for a wide range of curvatures and noise levels. The method clearly outperforms a related curvature estimation method by Van Ginkel et al. that tends to give estimates that are too small. We show how we can incorporate the curvature estimate in our method for coherence-...
Erik Franken, Remco Duits, Bart M. ter Haar Romeny
Added 03 Jun 2010
Updated 03 Jun 2010
Type Conference
Year 2007
Where ICCV
Authors Erik Franken, Remco Duits, Bart M. ter Haar Romeny
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