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書目名稱Guide to Geometric Algebra in Practice影響因子(影響力)
書目名稱Guide to Geometric Algebra in Practice影響因子(影響力)學(xué)科排名
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書目名稱Guide to Geometric Algebra in Practice網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Guide to Geometric Algebra in Practice被引頻次學(xué)科排名
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書目名稱Guide to Geometric Algebra in Practice讀者反饋
書目名稱Guide to Geometric Algebra in Practice讀者反饋學(xué)科排名
作者: Schlemms-Canal 時(shí)間: 2025-3-21 21:41
Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebrahe motor which best transforms one set of noisy geometric objects onto another. The technique reduces to an eigenrotator problem and has some advantages over matrix formulations. It allows motors to be estimated from a variety of geometric data such as points, spheres, circles, lines, planes, direct作者: PHON 時(shí)間: 2025-3-22 04:07 作者: resuscitation 時(shí)間: 2025-3-22 06:09
Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections which align the points with their correspondences one by one. This is naturally and efficiently implemented in the conformal model of geometric algebra, where the resulting transformation is represented by a versor. As a direct result of this algorithm, we also present a very compact and fast formu作者: stress-test 時(shí)間: 2025-3-22 10:47
Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition of such transformations, especially for the subclass of 3D rigid body motions. This chapter gives explicit formulas for the square root and the logarithm of rotors in 3D CGA. It also classifies the types of conformal transformations and their orbits. To derive the results, we employ a novel polar d作者: Iniquitous 時(shí)間: 2025-3-22 14:52
Attitude and Position TrackingDCM), for example, to track attitude based on angular velocity data, and to integrate the linear velocity data separately in a suitable frame. In this chapter we make the case for using bivectors as the attitude tracking method of choice since several features make their performance and flexibility 作者: Iniquitous 時(shí)間: 2025-3-22 18:09
Calibration of Target Positions Using Conformal Geometric Algebrastem. A?group of rigidly co-located calibrated cameras are moved to several positions and images of the targets acquired. The target pixel coordinates are extracted and transformed into 3D lines which are used as input data to the algorithm. A?nonlinear solution is developed using geometric algebra 作者: Stricture 時(shí)間: 2025-3-22 22:53
Quaternion Atomic Function for Image Processingapted to the behavior of the input signal by broadening or narrowing its band ensuring a maximum signal-to-noise ratio. It can be used for smooth differentiation of images in the quaternion algebra framework. We discuss the role of the quaternion atomic function with respect to monogenic signals. We作者: HALL 時(shí)間: 2025-3-23 04:30 作者: PAEAN 時(shí)間: 2025-3-23 08:12 作者: osculate 時(shí)間: 2025-3-23 10:18 作者: 命令變成大炮 時(shí)間: 2025-3-23 17:30 作者: photopsia 時(shí)間: 2025-3-23 21:48
Line Geometry in Terms of the Null Geometric Algebra over ?3,3, and Application to the Inverse Singue group of 3D special projective transformations .(4) when acting upon points in space induces a Lie group isomorphism, with .(3,3) acting upon lines..As an application of the use of the ?. model of line geometry, this chapter analyzes the inverse singularity analysis of generalized Stewart platform作者: 敲竹杠 時(shí)間: 2025-3-24 00:00
A Framework for ,-Dimensional Visibility Computationsn many other scientific domains. While it is well understood in two dimensions, this does not remain true in higher-dimensional spaces..Grassmann Algebra allows to think about visibility at a high level of abstraction and to design a framework for solving visibility problems in any .-dimensional spa作者: placebo-effect 時(shí)間: 2025-3-24 04:29 作者: COLON 時(shí)間: 2025-3-24 09:40 作者: CAMP 時(shí)間: 2025-3-24 13:26
Comparative ecology of congeneric species,s a forward and backward iterative approach, finding each joint position via locating a point on a line. We use the IK of a human hand as an example of implementation where a constrained version of FABRIK was employed for pose tracking. The hand is modelled using CGA, taking advantage of CGA’s compa作者: 微枝末節(jié) 時(shí)間: 2025-3-24 15:49 作者: 黑豹 時(shí)間: 2025-3-24 21:18
Social Insurance and Older People in Cyprus of such transformations, especially for the subclass of 3D rigid body motions. This chapter gives explicit formulas for the square root and the logarithm of rotors in 3D CGA. It also classifies the types of conformal transformations and their orbits. To derive the results, we employ a novel polar d作者: GLARE 時(shí)間: 2025-3-24 23:50
https://doi.org/10.1007/978-3-030-34964-6DCM), for example, to track attitude based on angular velocity data, and to integrate the linear velocity data separately in a suitable frame. In this chapter we make the case for using bivectors as the attitude tracking method of choice since several features make their performance and flexibility 作者: SENT 時(shí)間: 2025-3-25 06:11
Dalibor Bartoněk,Stanislava Dermekovástem. A?group of rigidly co-located calibrated cameras are moved to several positions and images of the targets acquired. The target pixel coordinates are extracted and transformed into 3D lines which are used as input data to the algorithm. A?nonlinear solution is developed using geometric algebra 作者: Irascible 時(shí)間: 2025-3-25 10:09 作者: Chauvinistic 時(shí)間: 2025-3-25 14:46 作者: effrontery 時(shí)間: 2025-3-25 17:45 作者: Antagonist 時(shí)間: 2025-3-25 21:56 作者: EXTOL 時(shí)間: 2025-3-26 04:01 作者: 通便 時(shí)間: 2025-3-26 04:43 作者: 越自我 時(shí)間: 2025-3-26 08:58
William V. Taylor,Ben Feldmeyer,Katie Morrisn many other scientific domains. While it is well understood in two dimensions, this does not remain true in higher-dimensional spaces..Grassmann Algebra allows to think about visibility at a high level of abstraction and to design a framework for solving visibility problems in any .-dimensional spa作者: Foam-Cells 時(shí)間: 2025-3-26 13:56 作者: reperfusion 時(shí)間: 2025-3-26 18:24
A Framework for ,-Dimensional Visibility Computationsequivalent to point vs. hyperplane classification relative to a nondegenerate bilinear form. This ensures it is well defined and computationally robust..Using this, the lines stabbing an .-dimensional convex face are characterized. This set of lines appears to be the intersection of the decomposable作者: Ligament 時(shí)間: 2025-3-26 23:08
Kathleen Hilimire,Carl Schnitkers of a generalised ‘moment of inertia tensor’ are given. The development includes the effects of external forces and torques on the body. To illustrate its practical applications, we give a brief overview of a prototype multi-rigid-body physics engine implemented using 5D conformal objects as the variables.作者: 招募 時(shí)間: 2025-3-27 03:44
Physiology and Reproduction in Social Wasps,ra, where the resulting transformation is represented by a versor. As a direct result of this algorithm, we also present a very compact and fast formula to compute a quaternion from two vector correspondences, a surprisingly elementary result which appears to be new.作者: HUMID 時(shí)間: 2025-3-27 09:09
Social Insurance and Older People in Cyprusithm of rotors in 3D CGA. It also classifies the types of conformal transformations and their orbits. To derive the results, we employ a novel polar decomposition for the even subalgebra of 3D CGA and an associated norm-like expression.作者: 使苦惱 時(shí)間: 2025-3-27 10:50
Neoliberalism and Social Justice,.As an application of the use of the ?. model of line geometry, this chapter analyzes the inverse singularity analysis of generalized Stewart platforms, using vectors of ?. to encode the force and torque wrenches to classify their singular configurations.作者: 裙帶關(guān)系 時(shí)間: 2025-3-27 16:26 作者: 弄臟 時(shí)間: 2025-3-27 21:50 作者: Control-Group 時(shí)間: 2025-3-28 01:25
Color Object Recognition Based on a Clifford Fourier Transformlade . of ?. which corresponds to an analysis plane in the color space. The relevance of proposed methods for classification purposes is discussed on several color image databases. In particular, the influence of parameter . is studied regarding the type of images.作者: syncope 時(shí)間: 2025-3-28 05:25 作者: AUGUR 時(shí)間: 2025-3-28 07:26 作者: 高談闊論 時(shí)間: 2025-3-28 14:25
https://doi.org/10.1007/978-3-030-34964-6superior to that of DCMs, Euler angles or even rotors. We also discuss potential advantages in using CGA to combine the integration of angular and linear velocities in one step, as the features that make bivectors attractive for tracking rotations extend to bivectors that represent general displacements.作者: OGLE 時(shí)間: 2025-3-28 18:19 作者: 紋章 時(shí)間: 2025-3-28 20:49 作者: erythema 時(shí)間: 2025-3-29 02:30 作者: FLINT 時(shí)間: 2025-3-29 04:30
Calibration of Target Positions Using Conformal Geometric Algebraand geometric calculus and expressed in the conformal model of Euclidean 3D space. A?coordinate free approach to differentiating rotors is developed and used in the algorithm to differentiate motion rotors. Experiments are performed to evaluate the algorithm, and the results show that it performs well and is robust in the presence of noise.作者: Hiatus 時(shí)間: 2025-3-29 08:47
Comparative ecology of congeneric species,ic objects. This approach can be used in a wide range of computer animation applications and is not limited to the specific problem discussed here. The proposed hand pose tracker is real-time implementable and exploits the advantages of CGA for applications in computer vision, graphics and robotics.作者: 歌唱隊(duì) 時(shí)間: 2025-3-29 15:14
s processed with the quaternion wavelet atomic function transform, we detect shape contours in color images. We believe that the atomic function is a promising kernel for image processing and scene analysis.作者: obviate 時(shí)間: 2025-3-29 19:17
Ellen McAllister-Flack,Gretchen McAllisterd framework for geometric objects representation and geometric constraints solving. Based on TTRS, this chapter shows the capability of the CGA to represent geometric objects and geometric constraints through symbolic geometric constraints solving and algebraic classification.作者: 粉筆 時(shí)間: 2025-3-29 22:10 作者: LEVY 時(shí)間: 2025-3-30 02:44
Inverse Kinematics Solutions Using Conformal Geometric Algebraic objects. This approach can be used in a wide range of computer animation applications and is not limited to the specific problem discussed here. The proposed hand pose tracker is real-time implementable and exploits the advantages of CGA for applications in computer vision, graphics and robotics.作者: Motilin 時(shí)間: 2025-3-30 04:07 作者: 鬼魂 時(shí)間: 2025-3-30 09:49
On the Use of Conformal Geometric Algebra in Geometric Constraint Solvingd framework for geometric objects representation and geometric constraints solving. Based on TTRS, this chapter shows the capability of the CGA to represent geometric objects and geometric constraints through symbolic geometric constraints solving and algebraic classification.作者: defendant 時(shí)間: 2025-3-30 14:42 作者: 懶洋洋 時(shí)間: 2025-3-30 17:35
Rigid Body Dynamics and Conformal Geometric Algebras of a generalised ‘moment of inertia tensor’ are given. The development includes the effects of external forces and torques on the body. To illustrate its practical applications, we give a brief overview of a prototype multi-rigid-body physics engine implemented using 5D conformal objects as the variables.作者: 愛國者 時(shí)間: 2025-3-31 00:47
Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflectionsra, where the resulting transformation is represented by a versor. As a direct result of this algorithm, we also present a very compact and fast formula to compute a quaternion from two vector correspondences, a surprisingly elementary result which appears to be new.作者: Chameleon 時(shí)間: 2025-3-31 01:34 作者: FRET 時(shí)間: 2025-3-31 08:12
Line Geometry in Terms of the Null Geometric Algebra over ?3,3, and Application to the Inverse Singu.As an application of the use of the ?. model of line geometry, this chapter analyzes the inverse singularity analysis of generalized Stewart platforms, using vectors of ?. to encode the force and torque wrenches to classify their singular configurations.作者: Creditee 時(shí)間: 2025-3-31 13:09
