Search results for "application-specific processors"

showing 5 items of 5 documents

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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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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Design Space Exploration of Parallel Embedded Architectures for Native Clifford Algebra Operations

2012

In the past few decades, Geometric or Clifford algebra (CA) has received a growing attention in many research fields, such as robotics, machine vision and computer graphics, as a natural and intuitive way to model geometric objects and their transformations. At the same time, the high dimensionality of Clifford algebra and its computational complexity demand specialized hardware architectures for the direct support of Clifford data types and operators. This paper presents the design space exploration of parallel embedded architectures for native execution of four-dimensional (4D) and five-dimensional (5D) Clifford algebra operations. The design space exploration has been described along wit…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniSpeedupTheoretical computer scienceComputer sciencebusiness.industryDesign space explorationMachine visionClifford algebraClifford algebra Computational geometry Embedded coprocessors Application-specific processors Design space exploration FPGA-based prototypingRoboticsComputer graphicsSoftwareHardware and ArchitectureComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONArtificial intelligenceElectrical and Electronic EngineeringVariety (universal algebra)businessSoftwareIEEE Design & Test of Computers
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Embedded Coprocessors for Native Execution of Geometric Algebra Operations

2016

Clifford algebra or geometric algebra (GA) is a simple and intuitive way to model geometric objects and their transformations. Operating in high-dimensional vector spaces with significant computational costs, the practical use of GA requires dedicated software and/or hardware architectures to directly support Clifford data types and operators. In this paper, a family of embedded coprocessors for the native execution of GA operations is presented. The paper shows the evolution of the coprocessor family focusing on the latest two architectures that offer direct hardware support to up to five-dimensional Clifford operations. The proposed coprocessors exploit hardware-oriented representations o…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniTheoretical computer scienceCoprocessorInverse kinematicsbusiness.industryApplied MathematicsClifford algebraGeometric algebra Embedded coprocessors Application-specific processors FPGA-based prototyping.02 engineering and technologyParallel computingData type020202 computer hardware & architectureGeometric algebraSoftware0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingField-programmable gate arraybusinessVector spaceMathematicsAdvances in Applied Clifford Algebras
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An Optimized Architecture for CGA Operations and Its Application to a Simulated Robotic Arm

2022

Conformal geometric algebra (CGA) is a new geometric computation tool that is attracting growing attention in many research fields, such as computer graphics, robotics, and computer vision. Regarding the robotic applications, new approaches based on CGA have been proposed to efficiently solve problems as the inverse kinematics and grasping of a robotic arm. The hardware acceleration of CGA operations is required to meet real-time performance requirements in embedded robotic platforms. In this paper, we present a novel embedded coprocessor for accelerating CGA operations in robotic tasks. Two robotic algorithms, namely, inverse kinematics and grasping of a human-arm-like kinematics chain, ar…

conformal geometric algebraSettore ING-INF/05 - Sistemi Di Elaborazione Delle Informazioniapplication-specific processorsComputer Networks and CommunicationsHardware and ArchitectureControl and Systems EngineeringSignal Processingcomputational geometryFPGA-based prototypingElectrical and Electronic Engineeringapplication-specific processors; Clifford Algebra; computational geometry; conformal geometric algebra; FPGA-based prototyping; grasping; human-like robotic arms; inverse kinematics
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