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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被引頻次學(xué)科排名




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Schlemms-Canal

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

PHON

resuscitation

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

stress-test

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

Iniquitous

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

Iniquitous

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

Stricture

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

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PAEAN