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Lines pinning lines (Computational Geometry and Discrete Mathematics)
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1998
Abstract Our main purpose in the present chapter is to introduce the reader to the systematic study of those subsystems of the full system of ℛ4 lines of S3 which are of geometrical interest; but before doing so we need to look more closely at the way in which lines are represented by the ...
J G Semple, G T Kneebone
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Abstract Our main purpose in the present chapter is to introduce the reader to the systematic study of those subsystems of the full system of ℛ4 lines of S3 which are of geometrical interest; but before doing so we need to look more closely at the way in which lines are represented by the ...
J G Semple, G T Kneebone
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Line Geometry, Sphere Geometry, Kinematics
2020A Dupin cyclide is a quartic and cyclic surface. It is the envelope of a one parameter family of spheres. In Lie’s model of sphere geometry, it is represented by a conic. Lie’s line-sphere-mapping maps a conic in Lie’s quadric to a conic on Plucker’s quadric which corresponds to a regulus in the manifold of lines.
Boris Odehnal +2 more
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Canadian Journal of Mathematics, 1968
In their classic treatment (5) Veblen and Young build n-dimensional projective geometry from points and lines. Naturally, each line becomes identified with the set of points with which it is incident, and many treatments build from points alone, postulating the existence of certain distinguished subsets of the set of points.
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In their classic treatment (5) Veblen and Young build n-dimensional projective geometry from points and lines. Naturally, each line becomes identified with the set of points with which it is incident, and many treatments build from points alone, postulating the existence of certain distinguished subsets of the set of points.
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Geometry based exhaustive line correspondence determination
2016 IEEE International Conference on Robotics and Automation (ICRA), 2016In this paper we propose a purely geometric approach to establish correspondence between 3D line segments in a given model and 2D line segments detected in an image. Contrary to the existing methods which use strong assumptions on camera pose, we perform exhaustive search in order to compute maximum number of geometrically permitted correspondences ...
Heikkilä Janne +2 more
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2001
The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces.
Pottmann, Helmut, Wallner, Johannes
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The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces.
Pottmann, Helmut, Wallner, Johannes
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Complex Curves as Lines of Geometries
Results in Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belova, Olga +2 more
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Spinor Space and Line Geometry
Canadian Journal of Mathematics, 1951Synopsis. This is the first of two papers dealing with the projective theory of spinors. It contains the algebraic introduction to the projective spinor analysis which will be dealt with in the second paper.
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Kinematic Registration Using Line Geometry
Volume 2: 28th Biennial Mechanisms and Robotics Conference, Parts A and B, 2004This paper uses line geometry to find an elegant solution to the kinematic registration problem involving reconstruction of a spatial displacement from data on three homologous points at two finitely separated positions of a rigid body. The bisecting linear line complex of two position theory in kinematics is used in combination with recent results ...
Johannes K. Eberharter, Bahram Ravani
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