A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
The Determination of Implicit Polynomial Canonical Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fitting Curves and Surfaces With Constrained Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
Elementary geometry of algebraic curves: an undergraduate introduction
Elementary geometry of algebraic curves: an undergraduate introduction
Regular Article: On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves
Advances in Applied Mathematics
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Polynomial decompositions for shape modeling, object recognition and alignment
Polynomial decompositions for shape modeling, object recognition and alignment
Point-based and region-based image moments for visual servoing of planar objects
IEEE Transactions on Robotics
A representation of time series based on implicit polynomial curve
Pattern Recognition Letters
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Visual servoing schemes generally employ various image features (points, lines, moments etc.) in their control formulation. This paper presents a novel method for using boundary information in visual servoing. Object boundaries are modeled by algebraic equations and decomposed as a unique sum of product of lines. We propose that these lines can be used to extract useful features for visual servoing purposes. In this paper, intersection of these lines are used as point features in visual servoing. Simulations are performed with a 6 DOF Puma 560 robot using Matlab Robotics Toolbox for the alignment of a free-form object. Also, experiments are realized with a 2 DOF SCARA direct drive robot. Both simulation and experimental results are quite promising and show potential of our new method.