#!F-adobe-helvetica-medium-r-normal--18*
#!N 
#!CNavyBlue 
#!N  #!Rphos Path Operations #!N #!EC #!N #!N The following operations 
produce a geometric Object from a path. In addition to the 
functions noted here, the Render module is capable of directly rendering 
a path as a series of one-pixel lines. A path is 
a Field with 1-dimensional regular connections. A path can be created 
by, for example: #!CForestGreen #!N #!N  #!F-adobe-courier-bold-r-normal--18*   #!N f = DXNewField(); 
#!N DXSetComponentValue(f, "positions", ...); #!N DXSetConnections(f, "lines", DXMakeGridConnections(1, n)); #!N DXEndField(f); 
#!EF #!N #!N #!EC where  #!F-adobe-times-bold-r-normal--18*   n #!EF is the number 
of points. #!N #!N Both of the operations listed here use 
"normals" and "tangent" components if they are present; otherwise, they compute 
approximations to the normals and tangents, as follows: the tangent is 
the first derivative of the path; the normal is perpendicular to 
the tangent and lies in the plane formed by the tangent 
and the second derivative of the path. In each case, appropriate 
normals are associated with the result for shading. #!N #!I0 #!N 
#!N #!I0 #!N  #!F-adobe-times-bold-r-normal--18*    #!F-adobe-times-bold-r-normal--18*   Object DXRibbon() #!EF #!EF #!I50 #!N 
Produces a ribbon of the given width from a path or 
group of paths. See  #!Ldxrib,dxall1361 h DXRibbon  #!EL  . #!N #!I0 #!N  #!F-adobe-times-bold-r-normal--18*    #!F-adobe-times-bold-r-normal--18*   
Object DXTube() #!EF #!EF #!I50 #!N Produces a tube of a 
given diameter from a path or group of paths. See  #!Ldxtbe,dxall1401 h DXTube  #!EL  
. #!I0 #!N #!N #!N #!N #!N  #!F-adobe-times-medium-i-normal--18*   Next Topic #!EF 
#!N #!N  #!Lrendchp,dxall1129 h Rendering  #!EL  #!N  #!F-adobe-times-medium-i-normal--18*   #!N 
