### Abstract

Lingua originale | English |
---|---|

Pagine | 743-751 |

Numero di pagine | 9 |

Stato di pubblicazione | Published - 2008 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Hardware and Architecture
- Control and Systems Engineering

### Cita questo

**An FPGA Implementation of a Quadruple-Based Multiplier for 4D Clifford Algebra.** / Franchini, Silvia Giuseppina; Gentile, Antonio; Sorbello, Filippo; Vitabile, Salvatore; Vassallo, Giorgio.

Risultato della ricerca: Other

}

TY - CONF

T1 - An FPGA Implementation of a Quadruple-Based Multiplier for 4D Clifford Algebra

AU - Franchini, Silvia Giuseppina

AU - Gentile, Antonio

AU - Sorbello, Filippo

AU - Vitabile, Salvatore

AU - Vassallo, Giorgio

PY - 2008

Y1 - 2008

N2 - Geometric or Clifford algebra is an interesting paradigm for geometric modeling in fields as computer graphics, machine vision and robotics. In these areas the research effort is actually aimed at finding an efficient implementation of geometric algebra. The best way to exploit the symbolic computing power of geometric algebra is to support its data types and operators directly in hardware. However the natural representation of the algebra elements as variable-length objects causes some problems in the case of a hardware implementation. This paper proposes a 4D Clifford algebra in which the variable-length elements are mapped into fixed-length elements (quadruples). This choice leads to a simpler and more compact hardware implementation of 4D geometric algebra. The paper also presents the architecture of CliffArchy, a coprocessing core supporting the new fixed-length Clifford operands. A prototype implementation on a FPGA board is described.

AB - Geometric or Clifford algebra is an interesting paradigm for geometric modeling in fields as computer graphics, machine vision and robotics. In these areas the research effort is actually aimed at finding an efficient implementation of geometric algebra. The best way to exploit the symbolic computing power of geometric algebra is to support its data types and operators directly in hardware. However the natural representation of the algebra elements as variable-length objects causes some problems in the case of a hardware implementation. This paper proposes a 4D Clifford algebra in which the variable-length elements are mapped into fixed-length elements (quadruples). This choice leads to a simpler and more compact hardware implementation of 4D geometric algebra. The paper also presents the architecture of CliffArchy, a coprocessing core supporting the new fixed-length Clifford operands. A prototype implementation on a FPGA board is described.

KW - Clifford Algebra

KW - FPGA prototyping

KW - application-specific coprocessor

KW - computational geometry

UR - http://hdl.handle.net/10447/59412

M3 - Other

SP - 743

EP - 751

ER -