Ray tracing synthesis of images of triangulated surfaces smoothed by the spherical interpolation method
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2018, Vol 5, Issue 4
Abstract
<span lang="EN-US">The problem of imaging by ray tracing of triangulated surfaces smoothed by the spherical interpolation method was solved. The method of spherical interpolation was mainly designed to interpolate the triangulated surface with the subsequent aim of imaging this surface by the method of ray tracing. This approach makes it possible to combine the method of ray tracing with the accumulated base of models with a triangulated surface. The method of spherical interpolation is universal and enables construction of plane and spatial smooth curves drawn through arbitrarily set points. The proposed interpolation algorithm is based on a simple algebraic surface, sphere, and does not use algebraic polynomials of the third and higher orders. Analytical relations for realization of each stage of construction of an interpolating surface by this method were given. For imaging the interpolating surface, an iterative algorithm (ITA) of calculation of the point of intersection of a projection ray with this surface was constructed. The proposed ITA has an ability of a broad paralleling of computations. An algorithm of constructing points of an interpolating surface was developed with its step coinciding with the step of the iterative computation process which makes it possible to execute the algorithm of imaging and construct the surface point in a single ITA pass. The study results were confirmed by simulation of the imaging process in the Wolfram Mathematica package. Thus, the problem of combining new methods of constructing smooth geometric forms of triangulated surfaces and the method of ray tracing was solved which, in general, will improve realism of synthesized scenes in computer graphics</span>
Authors and Affiliations
Vladimir Gusiatin, Maksim Gusiatin, Oleg Mikhal
Keywords
Related Articles
- EP ID EP528170
- DOI 10.15587/1729-4061.2018.145531
- Views 78
- Downloads 0
Forming the toolset for development of a system to control quality of operation of underground pipelines by oil and gas enterprises with the use of neural networks
<p>A set of defining parameters for modeling stages of a surface defect propagation in the outer surface of a metal pipeline taking into consideration fatigue strength has been formed.</p><p>For a section of a pipeline w...
Analysis of the developed quantitative method for automatic attribution of scientific and technical text content written in Ukrainian
<p>A formal approach was proposed to implement text content attribution. The study was conducted with Ukrainian scientific and technical texts. The results of application of the designed algorithms of automatic attributi...
A solution for synchronous incremental maintenance of materialized views based on SQL recursive query
Materialized views are excessively stored query execution results in the database. They can be used to partially or completely answer queries which will be further appeared instead of re-executing query from the scratch....
Examining the technique to control the structure of current in vortex chambers by wing vortex generators
<p>A new technique was studied aimed at controlling energy-intensive coherent vortex structures (ECVS) that define the processes of mass- and heat transfer in vortex chambers. This is important because the swirled flows...
Effect of backward facing step on combustion stability in a constant contact area cylindrical mesoscale combustor
<p><span lang="EN-US">This experiment investigates the effect of backward facing step size variation on combustion stability in the cylindrical meso-scale combustor with the constant contact area. The backward facing ste...