Chelyabinsk, Chelyabinsk, Russian Federation
Chelyabinsk, Chelyabinsk, Russian Federation
A geometric surface model is formed taking into account given functional, structural, technological, economic, aesthetic requirements. These requirements are formulated in geometric terms and are expressed in terms of the surface parameters. The surface is modeled either Kinematics manner, or by way of a twodimensional interpolation. In accordance with in accordance with the kinematic method, the surface is formed as a continuous oneparameter many curves that form simulated in the surface. In accordance with the interpolation method, the surface consists of a set of elementary two-dimensional fragments. The article considered cinema optical method based on the use of curves of the second order of change-nests of the eccentricity as the main shaping element. To control the shape of the design surfaces are used for guide ruled surfaces (cilindroidy and conoid). Computer program is compiled, which determines the eccentricity of the forming curves of the second order depending on the boundary conditions. The program allows you to plot curve of the second order, given an arbitrary set of five coplanar points and tangents. When modeling the surface of the passing through a closed circuit, is used the mapping of this contour in four-dimensional space. Such mapping gives more possibilities for control surface shape. It is shown that the kinematics method computer simulation of the surface has technological advantages properties instead of interpolation method.
curve of the second order kinematics method of modeling the surface, the guide curve forming a curve, the frame surface is four-dimensional space.
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