.This paper is concerned with the range restricted interpolation of 'data on rectangular grids. The interpolant is constrained to lie on the same side of the constraint surface as the data. Sufficient non-negativity conditions on the Bezier ordinates are derived to ensure the non-negativity of a bicubic Bezier patch. The method modifies Bezier ordinates locally to fulfill the sufficient non-neg...

Segment match modeling uses a data base of highly refined known protein X-ray structures to build an unknown target structure from its amino acid sequence and the atomic coordinates of a few of its atoms (generally only the C alpha atoms). The target structure is first broken into a set of short segments. The data base is then searched for matching segments, which are fitted onto the framework ...

Plasma immersion ion implantation (PIII) into gearywindmill structures is simulated by the particle-in-cell (PIC) method in cylindrical co-ordinates. In cylindrical co-ordinates, the gearywindmill geometry becomes a periodic regular structure. An equal number of particles are placed inside the cell with the same angular and radial distance. The ion density represented by each particle is obtain...

rock slope stability depends very much on the strength features of the rock and the geometrical and strength characteristics of the discontinuities (e.g., roughness, wall strength and persistence). since a rock mass is not a continuum, its behavior is dominated by such discontinuities as faults, joints and bedding planes. also, rock slope instability is a major hazard for human activities and o...

The discrete-ordinates method is used to develop a solution to a class of non-grey problems in the theory of radiative transfer. The model considered allows for scattering with complete frequency redistribution (completely non-coherent scattering) and continuum absorption. In addition to a general formulation for semi-in"nite and "nite plane-parallel media, speci"c computations, for both the Do...

The creation and rendering of realistic water scenes is one of the challenging tasks in Computer Graphics. To reproduce the illumination and colour inside water bodies an algorithm capable of dealing with media with anisotropic and multiple scattering has to be used. We have developed a simulation system based in the discrete ordinates method to solve the problem of light transport in general p...

The often-studied problem known as Kramers’ problem, in the general area of rarefied-gas dynamics, is investigated in terms of a linearized, variable collision frequency model of the Boltzmann equation. A convenient change of variables is used to reduce the general case considered to a canonical form that is well suited for analysis by analytical and/or numerical methods. While the general form...

We estimate the optical signal for an oceanographic lidar from the one-dimensional transient (time-dependent) radiative transfer equation using the discrete ordinates method. An oceanographic lidar directs a pulsed blue or green laser into the ocean and measures the time-dependent backscattered light. A large number of parameters affect the performance of such a system. Here the optical signal ...

Ultrasonic radiative transfer in polycrystalline media: Effects of a fluid–solid interface" (1995). In previous derivations of the ultrasonic radiative transfer equation ͑URTE͒ for the modeling of multiply scattered diffuse ultrasound in polycrystalline media, the boundary conditions appropriate to experiments performed in a water bath were not used. In the present work, this fluid–solid boundary...