Single-Sided Magnetic Particle Imaging Device with Field-Free-Line Geometry for in-vivo Imaging Applications. [PDF]
IEEE Trans Magn, 2021Magnetic particle imaging (MPI) has shown great promise to surpass the existing in vivo imaging modalities in some clinical applications. However, one of the challenges to MPI being translated into clinical practice has been the ability to scale up the ...
Pagan J+3 more
europepmc +2 more sources
Learning to generate line drawings that convey geometry and semantics [PDF]
Computer Vision and Pattern Recognition, 2022This paper presents an unpaired method for creating line drawings from photographs. Current methods often rely on high quality paired datasets to generate line drawings.
Caroline Chan+2 more
openalex +3 more sources
The geometry of determinant line bundles in noncommutative geometry [PDF]
Journal of Noncommutative Geometry, 2009This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
Partha Sarathi Chakraborty+1 more
openalex +7 more sources
Line Geometry and Camera Autocalibration [PDF]
Journal of Mathematical Imaging and Vision, 2008We provide a completely new rigorous matrix formulation of the absolute quadratic complex (AQC), given by the set of lines intersecting the absolute conic. The new results include closed-form expressions for the camera intrinsic parameters in terms of the AQC, an algorithm to obtain the dual absolute quadric from the AQC using straightforward matrix ...
J. I. Ronda+2 more
semanticscholar +3 more sources
Feature Lines for Illustrating Medical Surface Models: Mathematical Background and Survey [PDF]
arXiv, 2015This paper provides a tutorial and survey for a specific kind of illustrative visualization technique: feature lines. We examine different feature line methods. For this, we provide the differential geometry behind these concepts and adapt this mathematical field to the discrete differential geometry.
A. Chu+24 more
arxiv +3 more sources
A Clifford Algebraic Approach to Line Geometry [PDF]
Advances in Applied Clifford Algebras, 2013In this paper we combine methods from projective geometry, Klein's model, and Clifford algebra. We develop a Clifford algebra whose Pin group is a double cover of the group of regular projective transformations. The Clifford algebra we use is constructed as homogeneous model for the five-dimensional real projective space $P^5(\mathbb{R})$ where Klein's
D. Klawitter
semanticscholar +4 more sources
Discrete asymptotic nets and W-congruences in Plücker line geometry [PDF]
, 2001The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa
openalex +3 more sources
Line problems in nonlinear computational geometry [PDF]
arXiv, 2006We first review some topics in the classical computational geometry of lines, in particular the O(n^{3+\epsilon}) bounds for the combinatorial complexity of the set of lines in R^3 interacting with $n$ objects of fixed description complexity. The main part of this survey is recent work on a core algebraic problem--studying the lines tangent to k ...
Frank Sottile, Thorsten Theobald
arxiv +3 more sources
Parse geometry from a line: Monocular depth estimation with partial laser observation [PDF]
IEEE International Conference on Robotics and Automation, 2017Many standard robotic platforms are equipped with at least a fixed 2D laser range finder and a monocular camera. Although those platforms do not have sensors for 3D depth sensing capability, knowledge of depth is an essential part in many robotics ...
Yiyi Liao+5 more
openalex +3 more sources
Accretion disk wind as explanation for the broad-line region structure in NGC 5548 [PDF]
, 2013Supermassive black holes in the centers of active galactic nuclei (AGN) are surrounded by broad-line regions (BLRs). The broad emission lines seen in the AGN spectra are emitted in this spatially unresolved region. We intend to obtain information on the structure and geometry of this BLR based on observed line profiles.
Kollatschny, W., Zetzl, M.
arxiv +3 more sources