Archivio istituzionale della ricerca dell'Università degli Studi di Palermohttps://iris.unipa.itIl sistema di repository digitale IRIS acquisisce, archivia, indicizza, conserva e rende accessibili prodotti digitali della ricerca.Tue, 18 May 2021 21:11:51 GMT2021-05-18T21:11:51Z10211Design Space Exploration of Parallel Embedded Architectures for Native Clifford Algebra Operationshttp://hdl.handle.net/10447/76587Titolo: Design Space Exploration of Parallel Embedded Architectures for Native Clifford Algebra Operations
Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/10447/765872012-01-01T00:00:00ZFixed-size Quadruples for a New, Hardware-Oriented Representation of the 4D Clifford Algebrahttp://hdl.handle.net/10447/76410Titolo: Fixed-size Quadruples for a New, Hardware-Oriented Representation of the 4D Clifford Algebra
Sat, 01 Jan 2011 00:00:00 GMThttp://hdl.handle.net/10447/764102011-01-01T00:00:00ZA dual-core coprocessor with native 4D Clifford algebra supporthttp://hdl.handle.net/10447/76855Titolo: A dual-core coprocessor with native 4D Clifford algebra support
Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/10447/768552012-01-01T00:00:00ZClifford Algebra based Edge Detector for Color Imageshttp://hdl.handle.net/10447/76854Titolo: Clifford Algebra based Edge Detector for Color Images
Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/10447/768542012-01-01T00:00:00ZGAPPCO: An Easy to Configure Geometric Algebra Coprocessor Based on GAPP Programshttp://hdl.handle.net/10447/236858Titolo: GAPPCO: An Easy to Configure Geometric Algebra Coprocessor Based on GAPP Programs
Sun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/10447/2368582017-01-01T00:00:00ZDesign and implementation of an embedded coprocessor with native support for 5D, quadruple-based Clifford algebrahttp://hdl.handle.net/10447/76585Titolo: Design and implementation of an embedded coprocessor with native support for 5D, quadruple-based Clifford algebra
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/10447/765852013-01-01T00:00:00ZA brief introduction to Clifford algebrahttp://hdl.handle.net/10447/53350Titolo: A brief introduction to Clifford algebra
Abstract: 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.
Fri, 01 Jan 2010 00:00:00 GMThttp://hdl.handle.net/10447/533502010-01-01T00:00:00Z4D Clifford algebra based on fixed-size representationhttp://hdl.handle.net/10447/48076Titolo: 4D Clifford algebra based on fixed-size representation
Abstract: 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 introduces a
4D Clifford algebra based on fixed-size elements and demonstrates that
this choice leads to a simple and compact hardware implementation of
geometric algebra operations.
Tue, 01 Jan 2008 00:00:00 GMThttp://hdl.handle.net/10447/480762008-01-01T00:00:00ZAn Embedded, FPGA-based Computer Graphics Coprocessor with Native Geometric Algebra Supporthttp://hdl.handle.net/10447/48088Titolo: An Embedded, FPGA-based Computer Graphics Coprocessor with Native Geometric Algebra Support
Abstract: The representation of geometric objects and their transformation are the two key aspects in computer graphics applications. Traditionally, computer-intensive matrix calculations are involved in modeling and rendering three-dimensional (3D) scenery. Geometric algebra (aka Clifford algebra) is attracting attention as a natural way to model geometric facts and as a powerful analytical tool for symbolic calculations. In this paper, the architecture of Clifford coprocessor (CliffoSor) is introduced. CliffoSor is an embedded parallel coprocessing core that offers direct hardware support to Clifford algebra operators. A prototype implementation on a programmable gate array (FPGA) board is detailed. Initial test results show the potential to achieve a 20x speedup for 3D vector rotations, a 12x speedup for Clifford sums and differences, and more than a 4x speedup for Clifford products, compared to the analogous operations in GAIGEN, a standard geometric algebra library generator for general-purpose processors. An execution analysis of a raytracing application is also presented.
Thu, 01 Jan 2009 00:00:00 GMThttp://hdl.handle.net/10447/480882009-01-01T00:00:00ZA Specialized Architecture for Color Image Edge Detection Based on Clifford Algebrahttp://hdl.handle.net/10447/90190Titolo: A Specialized Architecture for Color Image Edge Detection Based on Clifford Algebra
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/10447/901902013-01-01T00:00:00Z