Local Scale Control for Edge Detection and Blur Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive Smoothing via Contextual and Local Discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of Mathematical Imaging and Vision
Fast, accurate and convergent tangent estimation on digital contours
Image and Vision Computing
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Optimal blurred segments decomposition of noisy shapes in linear time
Computers and Graphics
Curvature estimation in noisy curves
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Binomial convolutions and derivatives estimation from noisy discretizations
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Unsupervised, fast and precise recognition of digital arcs in noisy images
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part I
Circular arc reconstruction of digital contours with chosen Hausdorff error
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Properties and applications of the simplified generalized perpendicular bisector
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Maximal planes and multiscale tangential cover of 3D digital objects
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Unsupervised polygonal reconstruction of noisy contours by a discrete irregular approach
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Ellipse detection through decomposition of circular arcs and line segments
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
Journal of Mathematical Imaging and Vision
A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours
Computer Vision and Image Understanding
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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Blurred segments [2] were introduced in discrete geometry to address possible noise along discrete contours. The noise is not really detected but is rather canceled out by thickening digital straight segments. The thickness is tuned by a user and set globally for the contour, which requires both supervision and non-adaptive contour processing. To overcome this issue, we propose an original strategy to detect locally both the amount of noise and the meaningful scales of each point of a digital contour. Based on the asymptotic properties of maximal segments, it also detects curved and flat parts of the contour. From a given maximal observation scale, the proposed approach does not require any parameter tuning and is easy to implement. We demonstrate its effectiveness on several datasets. Its potential applications are numerous, ranging from geometric estimators to contour reconstruction.