Computer library of superhigh degree surfaces for 3D simulation

Vladimir M. Degtyarev; Pavel V. Pavlov

doi:10.1117/12.417680

1 February 2001 Computer library of superhigh degree surfaces for 3D simulation

Vladimir M. Degtyarev, Pavel V. Pavlov

Proceedings Volume 4348, Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2001) https://doi.org/10.1117/12.417680
Event: Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2000, St. Petersburg, Russian Federation

Abstract

We consider mathematical formulas for description of geometrical surfaces. The list includes such surfaces as plane, second degree surfaces (16 types), second degree super surfaces (16 types), multiple surfaces (above second degree). All these surfaces are described only by a single equation. This equation has coefficients that define type, size, and location of a surface in 3D space. We can design and locate a surface by changing of the sign and value coefficients. In the library of a computer these surfaces are written in a parametrical form as a value of surface coefficients. It is a very compact library. We have software for creation of complex geometrical objects, if needed to convert object form, location of these objects in space scene, moving and rotation these objects in scene, visualization 3D stereo scene. We do not have a planar computer model, we create a computer analytical model as records of surface coefficients in the computer memory and proceed these coefficients for our tasks. The analytical model is very compact. Visualization has a complex procedure and requests some time but can be solved by an asynchronous super computer.

Citation Download Citation

Vladimir M. Degtyarev and Pavel V. Pavlov "Computer library of superhigh degree surfaces for 3D simulation", Proc. SPIE 4348, Fourth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (1 February 2001); https://doi.org/10.1117/12.417680

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