Browsing Institutt for maskinteknikk og produksjon by Journals "Advances in Applied Clifford Algebras"
Now showing items 1-5 of 5
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A Curvature-Based Descriptor for Point Cloud Alignment Using Conformal Geometric Algebra
(Journal article; Peer reviewed, 2018)This paper presents a descriptor for course alignment of point clouds using conformal geometric algebra. The method is based on selecting keypoints depending on shape factors to identify distinct features of the object ... -
Automatic Multivector Differentiation and Optimization
(Journal article; Peer reviewed, 2016)In this work, we present a novel approach to non-linear optimization of multivectors in the Euclidean and conformal model of geometric algebra by introducing automatic differentiation. This is used to compute gradients and ... -
Motor Estimation using Heterogeneous Sets of Objects in Conformal Geometric Algebra
(Journal article; Peer reviewed, 2016)In this paper we present a novel method for nonlinear rigid body motion estimation from noisy data using heterogeneous sets of objects of the conformal model in geometric algebra. The rigid body motions are represented by ... -
Motor Parameterization
(Journal article; Peer reviewed, 2018)In this paper, we consider several parameterizations of rigid transformations using motors in 3-D conformal geometric algebra. In particular, we present parameterizations based on the exponential, outer exponential, and ... -
Object Detection in Point Clouds Using Conformal Geometric Algebra
(Journal article; Peer reviewed, 2017)This paper presents an approach for detecting primitive geometric objects in point clouds captured from 3D cameras. Primitive objects are objects that are well defined with parameters and mathematical relations, such as ...