Properties and applications of the simplified generalized perpendicular bisector

Authors:
Aurélie Richard;Gaëlle Largeteau-Skapin;Marc Rodríguez;Eric Andres;Laurent Fuchs;Jean-Serge Dimitri Ouattara
Affiliations:
Laboratory XLIM, SIC Department, University of Poitiers, UMR CNRS 6712, Chasseneuil Cedex, France;Laboratory XLIM, SIC Department, University of Poitiers, UMR CNRS 6712, Chasseneuil Cedex, France;Laboratory XLIM, SIC Department, University of Poitiers, UMR CNRS 6712, Chasseneuil Cedex, France;Laboratory XLIM, SIC Department, University of Poitiers, UMR CNRS 6712, Chasseneuil Cedex, France;Laboratory XLIM, SIC Department, University of Poitiers, UMR CNRS 6712, Chasseneuil Cedex, France;Laboratory XLIM, SIC Department, University of Poitiers, UMR CNRS 6712, Chasseneuil Cedex, France
Venue:
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Year:
2011

Citing 9
Cited 1

Computing Point/Curve and Curve/Curve Bisectors

Proceedings of the 5th IMA Conference on the Mathematics of Surfaces
Computing Helmert transformations

Journal of Computational and Applied Mathematics
Discrete bisector function and Euclidean skeleton in 2D and 3D

Image and Vision Computing
Multi-scale Analysis of Discrete Contours for Unsupervised Noise Detection

IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Adaptive Pixel Resizing for Multiscale Recognition and Reconstruction

IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Decomposition of nD-rotations: Classification, properties and algorithm

Graphical Models
Generalized Perpendicular Bisector and exhaustive discrete circle recognition

Graphical Models
Generalized perpendicular bisector and circumcenter

CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
An algorithm to decompose n-dimensional rotations into planar rotations

CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images

Decomposition of nD-rotations: Classification, properties and algorithm

Graphical Models

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper deals with the Simplified Generalized Perpendicular Bisector (SGBP) presented in [15,1]. The SGPB has some interesting properties that we explore. We show in particular that the SGPB can be used for the recognition and exhaustive parameter estimation of noisy discrete circles. A second application we are considering is the error estimation for a class of rotation reconstruction algorithms.