Line Integral Convolution (LIC) is a common approach for the visualization of 2 0 vector fields. It is well suited for visualizing the direction of a flow field, but it gives no information about the orientation of the underlying vectors. We introduce Oriented Line Integral Convolution (OLIC), where direction as well as orientation are encoded within the resulting image. This is achieved b y us...

Recently, the class of Hamiltonian Boundary Value Methods (HBVMs) has been introduced with the aim of preserving the energy associated with polynomial Hamiltonian systems (and, more in general, with all suitably regular Hamiltonian systems). However, many interesting problems admit other invariants besides the Hamiltonian function. It would be therefore useful to have methods able to preserve a...

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Two models of dark matter are examined in the context of the bright 511 keV gamma-ray signal observed from the center of the galaxy by the INTEGRAL satellite. A model of annihilating MeV-scale dark matter has been shown by Boehm et al. to be able to provide the required flux of positrons to explain the INTEGRAL signal, and the possible experimental consequences of this model are investigated in...

The depiction of time-dependent vector fields is a central problem in scientific visualization. This article describes a technique for generating animations of such fields where the motion of the streamlines to be visualized is given by a second “motion” vector field. Each frame of our animation is a Line Integral Convolution of the original vector field with a time-varying input texture. The t...

In most of the multi–criteria decision–analysis (MCDA) problems in which the Choquet integral is used as aggregation function, the coefficients of Choquet integral (capacity) are not known in advance. Actually, they could be calculated by capacity definition methods. In these methods, the preference information of decision maker (DM) is used to constitute a possible solution space. ...

Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter...

The Line Integral Convolution (LIC) method, which blurs white noise textures along a vector field, is an effective way to visualize overall flow patterns in a 2D domain [Cabral & Leedom '93]. The method produces a flow texture image based on the input velocity field defined in the domain. Because of the nature of the algorithm, the texture image tends to be blurry. This sometimes makes it diffi...

Line Integral Convolution (LIC) is a common approach for the visualization of vector elds. It is well suited for visualizing the direction of a ow eld, but it gives no information about the orientation of the underlying vectors. We introduce Oriented Line Integral Convolution (OLIC), where direction as well as orientation are encoded within the resulting image. This is achieved by using a low f...