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An experimental investigation to model wheezing in lungs.
A quarter of the world's population experience wheezing. These sounds have been used for diagnosis since the time of the Ebers Papyrus (ca 1500 BC). We know that wheezing is a result of the oscillations of the airways...
Published by: Royal Society open science
Calculating the Rotor Between Conformal Objects
Abstract: In this paper we will address the problem of recovering covariant transformations between objects—specifically; lines, planes, circles, spheres and point pairs. Using the covariant language of conformal geometric...
Some recent results for SU(3)$$ SU(3) $$ and octonions within the geometric algebra approach to the fundamental forces of nature
Anthony Lasenby
Jan 09, 2023
Different ways of representing the group S U ( 3 ) $$ SU(3) $$ within a Geometric Algebra approach are explored. As part of this, we consider characteristic multivectors for S U ( 3 ) $$ SU(3) $$ and how these are linked with...
Geometric Algebra, Gravity and Gravitational Waves
Anthony N. Lasenby
Aug 07, 2020
Abstract: We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed...
Aerodynamic analysis via foreground segmentation
Results from wind-tunnel testing of athletes cannot always be repeated on the track, but reducing aerodynamic drag is critical for racing. Drag force is highly correlated with an athlete's frontal area, so in this paper we...
REFORM
Abstract: In this paper we tackle the problem of correspondence and rotor estimation between models composed of geometric primitives of different types. We frame this problem as searching for the rotor that takes a query model...
Estimating missing marker positions using low dimensional Kalman smoothing.
Motion capture is frequently used for studies in biomechanics, and has proved particularly useful in understanding human motion. Unfortunately, motion capture approaches often fail when markers are occluded or missing and a...
Conformally-rescaled Schwarzschild metrics do not predict flat galaxy rotation curves
Abstract: For conformally invariant gravity theories defined on Riemannian spacetime and having the Schwarzschild–de-Sitter (SdS) metric as a solution in the Einstein gauge, we consider whether one may conformally rescale this...
Published by: Springer Berlin Heidelberg
Conformally-rescaled Schwarzschild metrics do not predict flat galaxy rotation curves
Abstract For conformally invariant gravity theories defined on Riemannian spacetime and having the Schwarzschild–de-Sitter (SdS) metric as a solution in the Einstein gauge, we consider whether one...
Astrometric Search Method for Individually Resolvable Gravitational Wave Sources with Gaia.
Gravitational waves (GWs) cause the apparent position of distant stars to oscillate with a characteristic pattern on the sky. Astrometric measurements (e.g., those made by Gaia) provide a new way to search for GWs. The main...
Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra
Abstract: Typically we do not add objects in conformal geometric algebra (CGA), rather we apply operations that preserve grade, usually via rotors, such as rotation, translation, dilation, or via reflection and inversion....
Using geometric algebra to represent curvature in shell theory with applications to Starling resistors.
We present a novel application of rotors in geometric algebra to represent the change of curvature tensor that is used in shell theory as part of the constitutive law. We introduce a new decomposition of the change of curvature...
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