DESIGN OF COMPOUND PARAMETRICAL SURFACES BY MEANS OF CENTRAL AND ORTHOGONAL PROJECTIONS

摘要

In this work we consider a problem of representation of three-dimensional object surface as a vector function of rectangular range of definition. We consider different combinations of base elements of the form (BEF). For combination of separate segments of BEF surfaces we develop a method of construction of parametrical lines on the surface of object. This method provides continuity of a parametrical line on combining objects surfaces. It can be used in CAD-systems. The method let solve different geometric problems of compound objects such as central and orthogonal projections, construction of sections of objects by flats, their intersections with different parametrical surfaces, and so on.