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Conformal Geometric Algebra method for detection of geometric primitives

2016 23rd International Conference on Pattern Recognition (ICPR), 2016
In this paper, we present a geometric algebra approach for detection of geometric entities in images. Our algorithm is grounded on two methodologies: representation of geometric entities and perceptual properties using Conformal Geometric Algebra, and a voting scheme which is implemented using a clustering algorithm.
Gerardo E. Altamirano-Gómez   +1 more
openaire   +1 more source

Detection Geometric Object in the Conformal Geometric Algebra Framework

2011 12th International Conference on Computer-Aided Design and Computer Graphics, 2011
An eficient rndomized agorithm for line and circle detection in the Conformal Geometric Algebra framework is designed and implemented. This arithmetic performs well when an image has strong background noise. In conformal geometric algebra, circle and line in conformal space can be represented as multivectors.
Zongmin Li   +2 more
openaire   +1 more source

Type synthesis of 1T2R and 2R1T parallel mechanisms employing conformal geometric algebra

Mechanism and Machine Theory, 2018
Yimin Song, P. Han, Panfeng Wang
exaly   +2 more sources

Fast iris localization algorithm on noisy images based on conformal geometric algebra

Digit. Signal Process., 2020
In practical iris applications, the obtained iris images are inevitably affected by noises brought by uneven illumination, off-angle view, eyelids, and eyelashes etc. Such influences can lead to poor accuracy and low efficiency of iris localization. This
Lin Ma, Haifeng Li, Kunpeng Yu
semanticscholar   +1 more source

Omnidirectional vision using conformal geometric algebra

IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004, 2004
The catadioptric projection can be modeled by an equivalent spherical projection. This idea is more versatile in the conformal geometric algebra, a modern framework for the projective space of hyper-spheres. In this framework we analyze diverse catadioptric mirrors, as a result the algebraic burden is reduced allowing the user to work in a more ...
Carlos López-Franco   +1 more
openaire   +1 more source

Radon transform and Conformal Geometric Algebra with lines

2008 19th International Conference on Pattern Recognition, 2008
In this paper we apply the classic theory of harmonic analysis and the conformal geometric algebra (CGA) to evaluate the Fourier transform on the unit sphere S2 and on the rotation group SO(3). Since the images taken by omnidirectional sensors can be mapped to the sphere, the problem of attitude estimation of a 3D camera rotation can be treated as a ...
Luis Falcón-Morales   +1 more
openaire   +1 more source

A Conformal Geometric Algebra Method for Inverse Kinematics Analysis of 6R Robotic Arm

Journal of Mechanisms and Robotics
Addressing the issue of angle multiplicity in solving joint angles using cosine expressions within the context of conformal geometric algebra for inverse kinematics analysis, an extended method for joint angle determination has been developed. The core
Dongyang Zhu   +2 more
semanticscholar   +1 more source

Deform, Cut and Tear a skinned model using Conformal Geometric Algebra

Computer Graphics International Conference, 2020
In this work, we present a novel, integrated rigged character simulation framework in Conformal Geometric Algebra (CGA) that supports, for the first time, real-time cuts and tears, before and/or after the animation, while maintaining deformation topology.
Manos N. Kamarianakis, G. Papagiannakis
semanticscholar   +1 more source

Detection and 3D Modeling of Brain Tumor using Machine learning and Conformal Geometric Algebra

International Conference on Cryptography, Security and Privacy, 2020
Medical imaging or processing involves a wide range of computations on which the accuracy of analysis depends on the most. So to enhance the accuracy of analysis we need to reduce the computational geometric problems.
Soumya S Pillai, R. Megalingam
semanticscholar   +1 more source

Strip adjustment of airborne laserscanning data with conformal geometric algebra

2020 Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems (SCIS-ISIS), 2020
In this work we describe how to use the iterative closest point method for the adjustment of airborne laser scanning data strips in the framework of conformal geometric algebra, using rotors, translators, motors and differentiating w.r.t. bivector angles
E. Hitzer   +4 more
semanticscholar   +1 more source

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