This paper studies the problem of computing the mean (or the average displacement) and variance of a set of planar displacements. It presents three parametric representations of a planar displacement and studies how they influence the computations of means and variances. In particular, it advocates the use of the kinematic concept of relative displacements rather than simple difference in kinematic parameters in formulating the variance and for computing the mean of planar displacements. It is shown that the optimal average displacement is obtained by combining planar-quaternion representation with the concept of relative displacements. Examples are provided to illustrate the advantages of the latter approach.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11368472 | PMC |
| http://dx.doi.org/10.1504/ijmrs.2023.137478 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Does Body Postural Configuration Affect Upper Limb Performance During Point-to-Point Hand Movements?
J Mot Behav
January 2025
Department of Physical Therapy, Stanley Steyer School of Health Professions, Faculty of Medical & Health Sciences, Tel Aviv University, Tel Aviv, Israel.
Adopting a postural configuration may be regarded as preparation for the performance of an upcoming movement. However, it is unclear how different postural configurations affect motor performance. The aim of the current study was to examine how body posture - sitting versus standing - influences fast and accurate planar point-to-point hand movements.
View Article and Find Full Text PDFSelective engagement of long-latency reflexes in postural control through wobble board training.
Sci Rep
December 2024
Division of Biomechanics and Research Development, Department of Biomechanics, and Center for Research in Human Movement Variability, University of Nebraska at Omaha, Omaha, NE, 68182, USA.
Long-latency reflexes (LLRs) are critical precursors to intricate postural coordination of muscular adaptations that sustain equilibrium following abrupt disturbances. Both disturbances and adaptive responses reflect excursions of postural control from quiescent Gaussian stability under a narrow bell curve, excursions beyond Gaussianity unfolding at many timescales. LLRs slow with age, accentuating the risk of falls and undermining dexterity, particularly in settings with concurrent additional tasks.
View Article and Find Full Text PDFTuning Fluorescence Properties of BIM Probes via Clay Integration: Targeting Rifampicin with improved selectivity.
Chem Asian J
December 2024
Birla Institute of Technology & Science Pilani - Hyderabad Campus, Chemistry department, Shameerpet, 500078, Hyderabad, INDIA.
The incorporation of photoactive organic dyes into layered inorganic materials enhances their optical and chemical properties, making them ideal for sensing applications. In this study, Bisindolyl methane (BIM)-based neutral probes were integrated with bentonite clay to explore their sensing capabilities. Probe 1 (unoxidized BIM) and Probe 2 (oxidized BIM) generally exhibited quenched luminescence in solution due to intramolecular rotations.
View Article and Find Full Text PDFDesign of Chemoresponsive Liquid Crystals Using Metal-Coordinating Polymer Surfaces.
ACS Appl Mater Interfaces
January 2025
Smith School of Chemical and Biomolecular Engineering, Cornell University, Ithaca, New York 14853, United States.
Liquid crystals (LCs), when interfaced with chemically functionalized surfaces, can amplify a range of chemical and physical transformations into optical outputs. While metal cation-binding sites on surfaces have been shown to provide a basis for the design of chemoresponsive LCs, the cations have been found to dissociate from the surfaces and dissolve slowly into LCs, resulting in time-dependent changes in the properties of LC-solid interfaces (which impacts the reliability of devices incorporating such surfaces). Here, we explore the use of surfaces comprising metal-coordinating polymers to minimize the dissolution of metal cations into LCs and characterize the impact of the interfacial environment created by the coordinating polymer on the ordering and time-dependent properties of LCs.
View Article and Find Full Text PDFEvaluation of a deformable image registration algorithm for image-guided thermal ablation of liver tumors on clinically acquired MR-temperature maps.
Med Phys
November 2024
CNRS, CRMSB, UMR 5536, IHU Liryc, University of Bordeaux, Bordeaux, France.
Background: Quantitative real-time MRI-based temperature mapping techniques are hampered by abdominal motion. Intrascan motion can be reduced by rapid acquisition sequences such as 2D echo planar imaging (EPI), and inter-scan organ displacement can be compensated by image processing such as optical flow (OF) algorithms. However, motion field estimation can be seriously affected by local variation of signal intensity on magnitude images inherent to tissue heating, potentially leading to erroneous temperature estimates.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!