Article

Article title ABOUT A CLASS OF PROBLEMS IN GEOMETRICAL MODELING OF THREE-DIMENSIONAL OBJECTS IN CAD
Authors V.V. Lisyak, M.V. Lisyak
Section SECTION II. AUTOMATION OF DESIGNING
Month, Year 04, 2009 @en
Index UDC 681.3.06
DOI
Abstract 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.

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Keywords Geometrical modeling, transformation matrix; inverse matrix; affine geometry; homogeneous coordinates; object transformation; algorithm convergence; macros.
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