Line integral convolution (LIC) has become a well-known and popular method for visualizing vector elds. The method works by convolving a random input texture along the integral curves of the vector eld. In order to accelerate image synthesis signiicantly, an eecient algorithm has been proposed that utilizes pixel coherence in eld line direction. This algorithm, called \fast LIC", originally was...

Time-domain models are necessary for the analysis of wave energy conversion systems, due to the presence of nonlinearities which may not be neglected for accurate prediction of their performance and behaviour. Such nonlinearities are contributed in varying degrees by drag, Coulomb friction, fluid compressibility, and also control mechanism. In time-domain, the equations of motion for the system...

We consider an integral equation in the plane, in which the leading operator is of convolution type, and we prove that monotone (or stable) solutions are necessarily one-dimensional. Mathematics Subject Classification: 45A05, 47G10, 47B34.

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...

By making use of subordination between analytic functions and the Dziok-Srivastava operator, we introduce a new subclass of multivalent analytic functions. Such results as inclusion relationship, integral presentations and convolution properties for this function class are proved.

The line integral convolution (LIC) method, originally developed for imaging vector fields in scientific visualization, has the potential to produce images with directional characteristics. In this paper, we present four techniques to explore the use of LIC in generating images in the style of the Impressionists. In particular, we develop an Impressionist Line Integral Convolution algorithm (IL...

In the numerical evaluation of geodetic convolution integrals, whether by quadrature or discrete/fast Fourier transform (D/FFT) techniques, the integration kernel is sometimes computed at the centre of the discretised grid cells. For singular kernels a common case in physical geodesy this approximation produces significant errors near the computation point, where the kernel changes rapidly acro...

A major problem of the existing curvilinear grid Line Integral Convolution (LIC) algorithm is that the resulting LIC textures may be distorted after being mapped onto the parametric surfaces, since a curvilinear grid usually consists of cells of di erent sizes. This paper proposes a way for solving the problem through using multi-granularity noise as the input image for LIC. A stochastic sampli...