Search results for "computational geometry"
showing 10 items of 139 documents
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…
An FPGA Implementation of a Quadruple-Based Multiplier for 4D Clifford Algebra
2008
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 s…
Spectrum cartography using adaptive radial basis functions: Experimental validation
2017
In this paper, we experimentally validate the functionality of a developed algorithm for spectrum cartography using adaptive Gaussian radial basis functions (RBF). The RBF are strategically centered around representative centroid locations in a machine learning context. We assume no prior knowledge about neither the power spectral densities (PSD) of the transmitters nor their locations. Instead, the received signal power at each location is estimated as a linear combination of different RBFs. The weights of the RBFs, their Gaussian decaying parameters and locations are jointly optimized using expectation maximization with a least squares loss function and a quadratic regularizer. The perfor…
"Table 126" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 133.00 GeV.
"Table 130" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 189.00 GeV.
"Table 132" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 206.00 GeV.
"Table 127" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 161.00 GeV.
"Table 131" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 200.00 GeV.
"Table 128" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 172.00 GeV.
"Table 129" of "Studies of QCD at e+ e- centre-of-mass energies between 91-GeV and 209-GeV."
2004
Planarity distribution at c.m. energy 183.00 GeV.