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Erschienen in: International Journal of Computer Vision 1/2014

01.01.2014

Accurate Junction Detection and Characterization in Natural Images

verfasst von: Gui-Song Xia, Julie Delon, Yann Gousseau

Erschienen in: International Journal of Computer Vision | Ausgabe 1/2014

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Abstract

Accurate junction detection and characterization are of primary importance for several aspects of scene analysis, including depth recovery and motion analysis. In this work, we introduce a generic junction analysis scheme. The first asset of the proposed procedure is an automatic criterion for the detection of junctions, permitting to deal with textured parts in which no detection is expected. Second, the method yields a characterization of L-, Y- and X- junctions, including a precise computation of their type, localization and scale. Contrary to classical approaches, scale characterization does not rely on the linear scale-space. First, an a contrario approach is used to compute the meaningfulness of a junction. This approach relies on a statistical modeling of suitably normalized gray level gradients. Then, exclusion principles between junctions permit their precise characterization. We give implementation details for this procedure and evaluate its efficiency through various experiments.

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Fußnoten
1
In this paper, we use the following discrete scheme to compute the gradient: for a pixel \(\mathbf{q }=(x,y), I_x(\mathbf{q }) = \frac{1}{2} (I(x+1,y) - I(x-1,y))\) and \(I_y(\mathbf{q }) = \frac{1}{2} (I(x,y+1) - I(x,y-1))\).
 
2
For a circle of radius \(r\) centered at pixel (0,0), \(\lfloor 2\pi r \rfloor \) is a good approximation of the number of pixels \((x,y)\) on the circle, in the sense that \(\hbox {round}(\sqrt{x^2+y^2}) = r\).
 
3
The code of LSD can be downloaded from the IPOL website: http://​www.​ipol.​im/​pub/​algo/​gjmr_​line_​segment_​detector/​.
 
4
This boils down to replace the distribution of the strength at a pixel with \(\mu = \dfrac{1}{2} \delta _0 + \frac{2}{\pi }\frac{1}{\sqrt{2 - z^2}} 1\!\!1_{z\ge 0}.\mathcal{L }\) in Eq. (11). The resulting junction detection algorithm is similar to Algorithm 7.
 
8
\(F\) is defined as the highest value of the quantity \(2\frac{Precision \cdot Recall}{Precision+Recall}\) along the curve.
 
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Metadaten
Titel
Accurate Junction Detection and Characterization in Natural Images
verfasst von
Gui-Song Xia
Julie Delon
Yann Gousseau
Publikationsdatum
01.01.2014
Verlag
Springer US
Erschienen in
International Journal of Computer Vision / Ausgabe 1/2014
Print ISSN: 0920-5691
Elektronische ISSN: 1573-1405
DOI
https://doi.org/10.1007/s11263-013-0640-1

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