Tolok A. Synthesis of visual images of the local geometrical performances of multidimensional functions

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0504U000215

Thesis Registration Form

0504U000215.pdf

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

20-04-2004

Specialized Academic Board

Д 26.056.06

Kyiv National University of Construction and Architecture

Essay

In this work the new method of the research of a function's surface with the usage of special images is designed. This method processes a function, introduced by the means of analytical, piecewise analytical or discrete representation, using the algorithm of recursive correction on definition domain at the first stage. This allows getting raster visual images, which represent geometrical properties (differential performances) of the investigated function's surface. Such images differ from the customary representations of a function's surface. It is offered to call them as visual M - images (images - models) of a function. At the second stage of the considered method the M - images, which allow designing the algorithm of a procedure of the research of a function's surface, will be used instead of a function

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Files

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