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Об одном классе задач геометрического моделирования трёхмерных объектов в САПР

Об одном классе задач геометрического моделирования трёхмерных объектов в САПР

Abstract

Рассматривается класс задач, возникающий при интерактивной работе с объектами геометрического моделирования в САПР. Задача решается путём вычисления матрицы преобразований, трансформирующей один объект в другой посредством цепочки аффинных преобразований. Предлагается программа для ОС Windows, реализующая решение рассматриваемого класса задач. Программа может использоваться в геометрическом процессоре САПР для создания макросов типовых геометрических преобразований моделей проектируемых объектов.

There is reviewed a class of problems that appear during interactive work with objects of geometrical modeling in CAD. The problem is solved by calculation of transformation matrix, which converts an object to another one by means of affine transformations chain. There is proposed a program for OS Windows, which realizes the solution of concerned problems class. The program can be used in CAD geometrical processor for creation of macros of designed objects models typical transformations.

Keywords

ГЕОМЕТРИЧЕСКОЕ МОДЕЛИРОВАНИЕ, МАТРИЦА ПРЕОБРАЗОВАНИЯ, ОБРАТНАЯ МАТРИЦА, АФФИННАЯ ГЕОМЕТРИЯ, ОДНОРОДНЫЕ КООРДИНАТЫ, ТРАНСФОРМАЦИЯ ОБЪЕКТА, СХОДИМОСТЬ АЛГОРИТМА, МАКРОС

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average