## Intersection of three-dimensional geometric surfacesNational Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985 - Computer-aided design - 30 pages |

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16 control points 3-D objects adjacent patches Bezier representation bicubic patches body of revolution calculating the intersection Computer Continue convex hull coordinate cube cubic equation curve of intersection data structure defined edge dl edge number EIPj exterior intersection point Figure 13 Figure 17 geometry development system interior intersection segment intersection algorithm intersection curve intersection information intersection line segments intersection node leaf intersection point found intersection point given intersection point lies intersection possibilities intersection record island Langley Research Center line of intersection located through index NASA null nzero Old Dominion University orderp orderpjj orientation indicator parametric patches patch edge test patchl and patch2 planar coefficients planar polygons point ordering procedure edge_test quadtree resultant object Return intersection point Return no intersection round-off error Save the planar second endpoint shown in figure succ(l surfaces of object technique third object three-dimensional objects total_ext trapezoid unequal subdivision vertex points vertex_ptj vertices vy(i