Search results for "Cliff"

showing 10 items of 57 documents

The zitterbewegung interpretation of quantum mechanics as theoretical framework for ultra-dense deuterium and low energy nuclear reactions

2017

This paper introduces a Zitterbewegung model of the electron by applying the principle of Occam's razor to the Maxwell's equations and by introducing a scalar component in the electromagnetic field. The aim is to explain, by using simple and intuitive concepts, the origin of the electric charge and the electromagnetic nature of mass and inertia. The Zitterbewegung model of the electron is also proposed as the best suited theoretical framework to study the structure of Ultra-Dense Deuterium (UDD), the origin of anomalous heat in metal-hydrogen systems and the possibility of existence of "super-chemical" aggregates at Compton scale.

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniAtomic and Molecular Physics and OpticSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciMaxwell's equationZitterbewegungWeyl equationSettore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciCondensed Matter PhysicsElectric chargeElementary particleVector potentialElectron structureLENRNuclear Energy and EngineeringSpace-time algebra (STA)Ultra-dense deuteriumClifford algebra; Compton scale aggregates; Dirac equation; Electric charge; Electron structure; Elementary particles; LENR; Lorenz gauge; Maxwell's equations; Occam's razor; Space-time algebra (STA); Ultra-dense deuterium; Vector potential; Weyl equation; Zitterbewegung; Atomic and Molecular Physics and Optics; Nuclear and High Energy Physics; Nuclear Energy and Engineering; Condensed Matter PhysicsDirac equationClifford algebraCompton scale aggregateOccam's razorLorenz gaugeNuclear and High Energy Physic
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Graphic Coprocessors with Native Clifford Algebra Support

2009

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniClifford Algebra Geometric Algebra Embedded Coprocessors Application-specific Processors FPGA Prototyping
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A brief introduction to Clifford algebra

2010

Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. Clifford algebra makes geometric objects (points, lines and planes) into basic elements of computation and defines few universal operators that are applicable to all types of geometric elements. This paper provides an introduction to Clifford algebra elements and operators.

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniClifford algebra Geometric algebra
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4D Clifford algebra based on fixed-size representation

2008

Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. In particular, 4D geometric algebra implements homogeneous coordinates, which are used to model 3D scenery in most computer graphics applications. The research work on Clifford algebra is actually aimed at finding efficient implementations of the algebra. This paper wants to give a contribution to this research effort by proposing a direct hardware support for geometric algebra operators. The paper introduce…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniClifford algebra Geometric algebra Homogeneous model Fixed-size representation
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A brief introduction to Clifford algebra

2010

Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. Clifford algebra makes geometric objects (points, lines and planes) into basic elements of computation and defines few universal operators that are applicable to all types of geometric elements. This paper provides an introduction to Clifford algebra elements and operators.

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniClifford algebrageometric algebra
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Clifford Algebra based Edge Detector for Color Images

2012

Edge detection is one of the most used methods for feature extraction in computer vision applications. Feature extraction is traditionally founded on pattern recognition methods exploiting the basic concepts of convolution and Fourier transform. For color image edge detection the traditional methods used for gray-scale images are usually extended and applied to the three color channels separately. This leads to increased computational requirements and long execution times. In this paper we propose a new, enhanced version of an edge detection algorithm that treats color value triples as vectors and exploits the geometric product of vectors defined in the Clifford algebra framework to extend …

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniColor imagebusiness.industryComputer scienceColor image edge detectionClifford convolutionFeature extractionClifford algebraEdge detectionConvolutionsymbols.namesakeClifford Fourier transformFourier transformsymbolsCanny edge detectorComputer visionArtificial intelligenceClifford algebrabusinessAlgorithmImage gradient
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ConformalALU: A Conformal Geometric Algebra Coprocessor for Medical Image Processing

2015

Medical imaging involves important computational geometric problems, such as image segmentation and analysis, shape approximation, three-dimensional (3D) modeling, and registration of volumetric data. In the last few years, Conformal Geometric Algebra (CGA), based on five-dimensional (5D) Clifford Algebra, is emerging as a new paradigm that offers simple and universal operators for the representation and solution of complex geometric problems. However, the widespread use of CGA has been so far hindered by its high dimensionality and computational complexity. This paper proposes a simplified formulation of the conformal geometric operations (reflections, rotations, translations, and uniform …

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniCoprocessorComputer scienceClifford algebraConformal geometric algebraConformal mapImage processingParallel computingImage segmentationComputational geometryTheoretical Computer ScienceGeometric algebraOperator (computer programming)Computational Theory and MathematicsConformal geometric algebra five-dimensional clifford algebra computational geometry embedded coprocessors systems-on-programmable-chip FPGA-based prototyping medical imaging segmentation 3D modeling Volume registration Growing Neural Gas marching spheres iterative closest point (ICP) thin-plate spline robust point matching (TPS-RPM)Hardware and ArchitectureScalingSoftwareIEEE Transactions on Computers
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A Sliced Coprocessor for Native Clifford Algebra Operations

2007

Computer graphics applications require efficient tools to model geometric objects. The traditional approach based on compute-intensive matrix calculations is error-prone due to a lack of integration between geometric reasoning and matrix-based algorithms. Clifford algebra offers a solution to these issues since it permits specification of geometry at a coordinate-free level. The best way to exploit the symbolic computing power of geometric (Clifford) algebra is supporting its data types and operators directly in hardware. This paper outlines the architecture of S-CliffoSor (Sliced Clifford coprocessor), a parallelizable embedded coprocessor that executes native Clifford algebra operations. …

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniCoprocessorComputer scienceProgramming languageClifford Algebra computational geometry application-specific coprocessor FPGA prototyping Sliced CoprocessorClifford algebraAlgebra over a fieldcomputer.software_genrecomputerFPGA prototype10th Euromicro Conference on Digital System Design Architectures, Methods and Tools (DSD 2007)
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Design and implementation of an embedded coprocessor with native support for 5D, quadruple-based Clifford algebra

2013

Geometric or Clifford algebra (CA) is a powerful mathematical tool that offers a natural and intuitive way to model geometric facts in a number of research fields, such as robotics, machine vision, and computer graphics. Operating in higher dimensional spaces, its practical use is hindered, however, by a significant computational cost, only partially addressed by dedicated software libraries and hardware/software codesigns. For low-dimensional algebras, several dedicated hardware accelerators and coprocessing architectures have been already proposed in the literature. This paper introduces the architecture of CliffordALU5, an embedded coprocessing core conceived for native execution of up t…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniCoprocessorSpeedupComputational Theory and MathematicsClifford algebra Computational geometry Embedded coprocessors Application-specific processors FPGA-based prototypingHardware and ArchitectureComputer scienceClifford algebraParallel computingComputational geometryField-programmable gate arraySoftwareTheoretical Computer Science
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A New Embedded Coprocessor for Clifford Algebra based Software Intensive Systems

2011

Computer graphics applications require efficient tools to model geometric objects and their transformations. Clifford algebra (also known as geometric algebra) is receiving a growing attention in many research fields, such as computer graphics, machine vision and robotics, as a new, interesting computational paradigm that offers a natural and intuitive way to perform geometric calculations. At the same time, compute-intensive graphics algorithms require the execution of million Clifford operations. Clifford algebra based software intensive systems need therefore the support of specialized hardware architectures capable of accelerating Clifford operations execution. In this paper the archite…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniCoprocessorSpeedupComputer sciencebusiness.industryembedded coprocessorsClifford algebraParallel computingcomputer graphicComputer graphicsGeometric algebracompute-intensive algorithmSoftwaresoftware intensive systemComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONcomputational geometryGraphicsClifford algebraField-programmable gate arraybusiness
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