Results 11 to 20 of about 814,707 (170)
Advancement in Color Image Processing using Geometric Algebra [PDF]
, 2008 This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and
Mishra, Biswajit +2 more
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Gaalop - high performance parallel computing based on conformal geometric algebra
, 2022 S.477-494We present Gaalop (Geometric algebra algorithms optimizer) our tool for high performance computing based on conformal geometric algebra.
Pitt, Joachim +2 more
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A Clustering Method for Geometric Data based on Approximation using Conformal Geometric Algebra [PDF]
, 2011 Clustering is one of the most useful methods for understanding similarity among data. However, most conventional clustering methods do not pay sufficient attention to the geometric properties of data. Geometric algebra (GA) is a generalization of complex
Furuhashi, Takeshi +3 more
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Projective Geometric Algebra as a Subalgebra for Conformal Geometric Algebra
, 2021 We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the same ...
Dorst, L. +3 more
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Geometric computing in computer graphics using conformal geometric algebra
, 2022 S.802-810Early in the development of computer graphics it was realized that projective geometry was well suited for the representation of transformations.
Hildenbrand, D.
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Invariants of Space Line Element Structure Based on Projective Geometric Algebra
IEEE Access, 2020 Based on the theory of Conformal Geometric Algebra, this paper presents a geometric constraint structure consisting of seven straight lines on three adjacent planes and its projective invariants, which can be obtained from a single frame image. Comparing
Zhang Youzheng, Mui Yanping
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Applications of Conformal Geometric Algebra to Transmission Line Theory
IEEE Access, 2017 In this paper, we present the application of a projective geometry tool known as conformal geometric algebra (CGA) to transmission line theory. Explicit relationships between the Smith Chart, Riemann Sphere, and CGA are developed to illustrate the ...
Alex Arsenovic
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Gaalop - High performance computing based on conformal geometric algebra
, 2022 11 S.We present Gaalop (Geometric algebra algorithms optimizer), our tool for high performance computing based on Conformal Geometric Algebra (GA).
Koch, Andreas, Hildenbrand, Dietmar
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Color Edge Detection Hardware based on Geometric Algebra.
, 2006 Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color.
Mishra, Biswajit, Wilson, Peter
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Carrollian and celestial spaces at infinity
Journal of High Energy Physics, 2022 We show that the geometry of the asymptotic infinities of Minkowski spacetime (in d + 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar-Hansen and a ...
José Figueroa-O’Farrill +3 more
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