標(biāo)題: Titlebook: Geometric Computing with Clifford Algebras; Theoretical Foundati Gerald Sommer Book 2001 Springer-Verlag Berlin Heidelberg 2001 Algebra.Alg [打印本頁(yè)] 作者: Indigent 時(shí)間: 2025-3-21 18:02
書(shū)目名稱Geometric Computing with Clifford Algebras影響因子(影響力)
書(shū)目名稱Geometric Computing with Clifford Algebras影響因子(影響力)學(xué)科排名
書(shū)目名稱Geometric Computing with Clifford Algebras網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱Geometric Computing with Clifford Algebras網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱Geometric Computing with Clifford Algebras被引頻次
書(shū)目名稱Geometric Computing with Clifford Algebras被引頻次學(xué)科排名
書(shū)目名稱Geometric Computing with Clifford Algebras年度引用
書(shū)目名稱Geometric Computing with Clifford Algebras年度引用學(xué)科排名
書(shū)目名稱Geometric Computing with Clifford Algebras讀者反饋
書(shū)目名稱Geometric Computing with Clifford Algebras讀者反饋學(xué)科排名
作者: 毛細(xì)血管 時(shí)間: 2025-3-21 23:33 作者: 鴕鳥(niǎo) 時(shí)間: 2025-3-22 00:31 作者: jagged 時(shí)間: 2025-3-22 08:32 作者: 混亂生活 時(shí)間: 2025-3-22 09:44 作者: 沒(méi)有準(zhǔn)備 時(shí)間: 2025-3-22 14:46 作者: 沒(méi)有準(zhǔn)備 時(shí)間: 2025-3-22 20:45
https://doi.org/10.1007/978-94-007-0507-4ifferent formalisms. For example, standard matrix analysis has been used in [102] and [210]. An analysis of multiple view tensors in terms of Grassmann-Cayley (GC) algebra can be found in [82], [179], [80]. Geometric Algebra (GA) has also been applied to the problem [184], [185], [142], [141].作者: 遺忘 時(shí)間: 2025-3-22 23:31
Susan Carter,Cally Guerin,Claire Aitchisonld” has to be understood by a computer. This may be with regard to control movement (robots), to survey a scene for later interpretation (medicine), or to create and mix artificial with real environments (special effects).作者: 彈藥 時(shí)間: 2025-3-23 03:33 作者: DEMN 時(shí)間: 2025-3-23 06:37
Spatial-Color Clifford Algebras for Invariant Image RecognitionPractice shows that they successfully cope with the problem of recognizing objects at different locations, of different views and illumination, and in different orders of blurring. But how is this done by the brain? How do we see? How do we recognize constantly moving and changing objects of the surrounding world?作者: 1分開(kāi) 時(shí)間: 2025-3-23 10:59 作者: 狂熱語(yǔ)言 時(shí)間: 2025-3-23 16:08 作者: 單色 時(shí)間: 2025-3-23 18:41
https://doi.org/10.1007/978-1-349-05432-9ometry was in the 19th century, when Euclidean, non-Euclidean and projective geometries were given precise mathematical formulations and the rich properties of geometric objects were explored. Though fundamental ideas of classical geometry are permanently imbedded and broadly applied in mathematics 作者: Tortuous 時(shí)間: 2025-3-24 00:23 作者: 直覺(jué)沒(méi)有 時(shí)間: 2025-3-24 06:10 作者: plasma 時(shí)間: 2025-3-24 06:49
Paul Sparrow,Martin Hird,Cary L. Cooper fifth postulate led C. F. Gauss to discover hyperbolic geometry in the 1820’s. Only a few years passed before this geometry was rediscovered independently by N. Lobachevski (1829) and J. Bolyai (1832). The strongest evidence given by the founders for its consistency is the duality between hyperboli作者: 箴言 時(shí)間: 2025-3-24 13:17
Devaluation and the Balance of Trade geometric algebra. To this purpose we introduce a framework for geometric computations which we call geo-MAP (geo-Metric-Affine-Projective) unification. It makes use of geometric algebra to embed the representation of Euclidean, affine and projective geometry in a way that enables coherent shifts b作者: Ischemic-Stroke 時(shí)間: 2025-3-24 16:06
Related Cooperation Problems and Models,l, of which very little is experienced as immediately relevant to the kind of geometrical problems occurring in practice. Literature ranges from highly theoretical mathematics to highly theoretical physics, with relatively little in between apart from some papers on the projective geometry of vision作者: Spinal-Fusion 時(shí)間: 2025-3-24 23:01
https://doi.org/10.1007/978-1-4842-2973-6Practice shows that they successfully cope with the problem of recognizing objects at different locations, of different views and illumination, and in different orders of blurring. But how is this done by the brain? How do we see? How do we recognize constantly moving and changing objects of the sur作者: PALL 時(shí)間: 2025-3-25 02:11
Interactive Software Development,hysics, as well as in electrical engineering. The analysis of the following four chapters is motivated by the use of the Fourier transform in signal processing. It turns out that some powerful concepts of one-dimensional signal theory can hardly be carried over to the theory of .-dimensional signals作者: Mere僅僅 時(shí)間: 2025-3-25 05:05
Gathering and integrating feedback,at the CFT yields an extended and more efficient multi-dimensional signal theory compared to the theory based on complex numbers. Though the CFT of a . signal does not include new information (the complex Fourier transform is a . transform in the mathematical sense), the Clifford spectrum is a riche作者: 使隔離 時(shí)間: 2025-3-25 10:52
Prioritize Documentation Requests,commutative hypercomplex Fourier transform (HFT). We can cover all these transforms with the term ., since all mentioned algebras are hypercomplex algebras (see Cha. 9). In order to have a numerical way to evaluate these transforms, we introduce the corresponding discrete transforms by sampling the 作者: 華而不實(shí) 時(shí)間: 2025-3-25 12:29
‘The Form of Faustus’ Fortunes’real signal directly accessible. Regrettably, there is no straightforward extension of this concept to multidimensional signals, yet. There are rather different approaches to an extension which have different drawbacks. In the first part of this chapter we will review the main approaches and introdu作者: 皮薩 時(shí)間: 2025-3-25 17:35 作者: 劇本 時(shí)間: 2025-3-25 22:10
Susan Carter,Cally Guerin,Claire Aitchisonld” has to be understood by a computer. This may be with regard to control movement (robots), to survey a scene for later interpretation (medicine), or to create and mix artificial with real environments (special effects).作者: spinal-stenosis 時(shí)間: 2025-3-26 02:46 作者: Foregery 時(shí)間: 2025-3-26 08:23 作者: CAMP 時(shí)間: 2025-3-26 10:49 作者: ADORE 時(shí)間: 2025-3-26 16:21 作者: MOAN 時(shí)間: 2025-3-26 16:56
Clifford Algebra Multilayer PerceptronsMultilayer Perceptrons (MLPs) are one of the most common and popular neural architectures. They are widely used in many different areas like handwriting recognition, speech recognition, and time series prediction for instance. In this chapter, we will extend MLPs from the domain of real numbers to Clifford algebra domains.作者: Melatonin 時(shí)間: 2025-3-26 22:44 作者: 驚奇 時(shí)間: 2025-3-27 03:45
Gathering and integrating feedback,extension in multidimensional signal theory. Our future aim is to develop principles for the design of hypercomplex filters. The first method is introduced in Chap. 11, where the auaternionic Gabor filters are explored.作者: 費(fèi)解 時(shí)間: 2025-3-27 05:16
‘The Form of Faustus’ Fortunes’ contrast to the 1-D analytic signal we will use the quaternionic frequency domain instead of the complex Fourier domain. Based on the so defined quaternionic analytic signal [36] the instantaneous amplitude and quaternionic phase of a 2-D signal can be defined [34].作者: 精致 時(shí)間: 2025-3-27 11:01
New Algebraic Tools for Classical Geometrydom-visited museum of mathematics history, in part, because they are expressed in splintered and arcane language. To make them readily accessible and useful, they need to be reexamined and integrated into a coherent mathematical system.作者: declamation 時(shí)間: 2025-3-27 16:20
Commutative Hypercomplex Fourier Transforms of Multidimensional Signalsextension in multidimensional signal theory. Our future aim is to develop principles for the design of hypercomplex filters. The first method is introduced in Chap. 11, where the auaternionic Gabor filters are explored.作者: Meager 時(shí)間: 2025-3-27 21:22
Local Hypercomplex Signal Representations and Applications contrast to the 1-D analytic signal we will use the quaternionic frequency domain instead of the complex Fourier domain. Based on the so defined quaternionic analytic signal [36] the instantaneous amplitude and quaternionic phase of a 2-D signal can be defined [34].作者: 上流社會(huì) 時(shí)間: 2025-3-28 00:34 作者: inchoate 時(shí)間: 2025-3-28 04:56
nn and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work作者: 阻撓 時(shí)間: 2025-3-28 09:19 作者: Coronation 時(shí)間: 2025-3-28 14:00
Book 2001ilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines 作者: Hemiparesis 時(shí)間: 2025-3-28 16:00
Related Cooperation Problems and Models,ir connections. That this approach tends to split up actual issues in the application into modules that match this traditional way of doing geometry (rather than into natural divisions matching the nature of the problem) is seen as ‘the way things are’.作者: Ingest 時(shí)間: 2025-3-28 21:02
Interactive Software Development, algebras. After these rather theoretical investigations we turn towards practice in chapter 10 where fast algorithms for the transforms are presented and in chapter 11 where local quaternion-valued LSI-filters based on the quaternionic Fourier transform are introduced and applied to image processing tasks.作者: 過(guò)于平凡 時(shí)間: 2025-3-28 23:37
Honing Geometric Algebra for Its Use in the Computer Sciencesir connections. That this approach tends to split up actual issues in the application into modules that match this traditional way of doing geometry (rather than into natural divisions matching the nature of the problem) is seen as ‘the way things are’.作者: radiograph 時(shí)間: 2025-3-29 04:40 作者: 朋黨派系 時(shí)間: 2025-3-29 09:55
https://doi.org/10.1007/978-981-15-9526-4g . [110]. The vector space model also lacks adequate representation for Euclidean points or lines at infinity. We solve both problems here with a new model for E. employing the tools of geometric algebra. We call it the . of E..作者: grovel 時(shí)間: 2025-3-29 12:04
Paul Sparrow,Martin Hird,Cary L. Cooperc and spherical trigonometries. This duality was first demonstrated by Lambert in his 1770 memoir [139] Some theorems, for example the law of sines, can be stated in a form that is valid in spherical, Euclidean, and hyperbolic geometries [25].作者: 結(jié)果 時(shí)間: 2025-3-29 15:38 作者: 腐蝕 時(shí)間: 2025-3-29 21:53
Disease and illness, perceptual perspectivesalibration methods either reduce the complexity if the camera motion is known in advance, for example as translation [66], or as rotation about known angles [5, 67], or by using active strategies and e.g. the vanishing point [56].作者: Arctic 時(shí)間: 2025-3-30 01:21
Generalized Homogeneous Coordinates for Computational Geometryg . [110]. The vector space model also lacks adequate representation for Euclidean points or lines at infinity. We solve both problems here with a new model for E. employing the tools of geometric algebra. We call it the . of E..作者: 不真 時(shí)間: 2025-3-30 04:45 作者: travail 時(shí)間: 2025-3-30 09:01 作者: 加花粗鄙人 時(shí)間: 2025-3-30 13:46 作者: 不真 時(shí)間: 2025-3-30 18:58
New Algebraic Tools for Classical Geometryometry was in the 19th century, when Euclidean, non-Euclidean and projective geometries were given precise mathematical formulations and the rich properties of geometric objects were explored. Though fundamental ideas of classical geometry are permanently imbedded and broadly applied in mathematics 作者: 癡呆 時(shí)間: 2025-3-30 23:48 作者: 凈禮 時(shí)間: 2025-3-31 02:40 作者: Diatribe 時(shí)間: 2025-3-31 08:34 作者: aviator 時(shí)間: 2025-3-31 12:26 作者: DEBT 時(shí)間: 2025-3-31 15:34
Honing Geometric Algebra for Its Use in the Computer Sciencesl, of which very little is experienced as immediately relevant to the kind of geometrical problems occurring in practice. Literature ranges from highly theoretical mathematics to highly theoretical physics, with relatively little in between apart from some papers on the projective geometry of vision作者: 抱狗不敢前 時(shí)間: 2025-3-31 21:11
