Results 41 to 50 of about 1,800 (293)
IEEE Access, 2020 This paper aims to construct signal sets from quotient rings of the quaternion over a real number field associated with the arithmetic Fuchsian group Γ4g, where g is the genus of the associated surface.
Catia Regina de Oliveira Quilles Queiroz +1 more
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Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics
IEEE Access, 2023 This paper focuses on the development of three newly formed representations of dual attitude and their respective kinematics equations - Dual Classical Rodrigues Parameters, Dual Modified Rodrigues Parameters, Dual Principal Axis and Principal Angle ...
Kyl S. Stanfield, Ahmad Bani Younes
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Dual bicomplex Horadam quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 The aim of this work is to introduce a generalization of dual quaternions called dual bicomplex Horadam quaternions and to present some properties, the Binet’s formula, Catalan’s identity, Cassini’s identity and the summation formula for this type of bicomplex quaternions.
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A Novel Distribution for Representation of 6D Pose Uncertainty
Micromachines, 2022 The 6D Pose estimation is a crux in many applications, such as visual perception, autonomous navigation, and spacecraft motion. For robotic grasping, the cluttered and self-occlusion scenarios bring new challenges to the this field.
Lei Zhang, Huiliang Shang, Yandan Lin
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The Regularity of Functions on Dual Split Quaternions in Clifford Analysis
Abstract and Applied Analysis, 2014 This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split ...
Ji Eun Kim, Kwang Ho Shon
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On tertions and dual numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn a previous author's paper [1], the mathematical object called "tertion" was discussed. Some operations over tertions were introduced and their properties were studied. There, it was showed that the complex numbers and quaternions can be represented by
Krassimir T. Atanassov
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A Closed-Form Solution to Linear Feature-Based Registration of LiDAR Point Clouds
Remote Sensing, 2021 Due to the high complexity of geo-spatial entities and the limited field of view of LiDAR equipment, pairwise registration is a necessary step for integrating point clouds from neighbouring LiDAR stations.
Yongbo Wang +3 more
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, 2023 Transformations in the field of computer graphics and geometry are one of the most important concepts for efficient manipulation and control of objects in 2-dimensional and 3-dimensional space. Transformations take many forms each with their advantages and disadvantages.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro +10 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Chemoimmunotherapy with irinotecan, temozolomide, and dinutuximab (I/T/DIN) has emerged as first‐line therapy for relapsed/refractory (r/r) high‐risk neuroblastoma (HRNB) in North America. Topotecan and cyclophosphamide (T/C) are often used in combination with dinutuximab in the setting of lack of response, progression, or incomplete ...
Benjamin J. Lerman +17 more
wiley +1 more source