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#!F-adobe-helvetica-medium-r-normal--18*
#!N 
#!CDarkGreen #!N  #!Rlod Generating surface levels 
of detail. #!N #!EC #!N #!N SimplifySurface adds a "positional error" 
component to the  #!F-adobe-times-bold-r-normal--18*   simplified #!EF surface. "positional error" is a 
component dependent on "positions" that provides for each vertex of  #!F-adobe-times-bold-r-normal--18*   
simplified #!EF a positive number. This positive number, the error value, 
represents the radius of a sphere centered on the vertex, that 
is guaranteed to intersect the original surface. The union of such 
spheres represents the error volume of the simplified surface, which is 
guaranteed to enclose the original surface. Points inside triangles are assigned 
an error value that is interpolated from the error values at 
the triangle vertices using barycentric coordinates. #!N #!N Using the "positional 
error" component, a simplified surface can be re-simplified to any  #!F-adobe-times-bold-r-normal--18*   
max_error #!EF while still guaranteeing a bound with respect to the 
original surface. This is useful for generating successive levels of detail. 
#!N #!N If the same error bound is used, a marginal 
additional simplification can be observed: the algorithm implements a greedy method, 
and does not guarantee to find the minimum number of triangles 
that respects a given error bound. #!N #!N The use of 
the "positional error" component by SimplifySurface is transparent to you, but 
you may occasionally want to visualize the simplification error, using the 
Mark module. An example is provided in SimplifySurface.net. #!N #!N Components 
#!N #!N SimplifySurface adds a "positional error" component that is dependent 
on "positions" (see  #!Llod,dxall948 h Generating surface levels of detail.  #!EL  ). #!N #!N In general  #!F-adobe-times-bold-r-normal--18*   simplified 
#!EF has the same components as  #!F-adobe-times-bold-r-normal--18*   original_surface #!EF except for 
"invalid positions," "invalid connections," "neighbors," and components that are  #!F-adobe-times-bold-r-normal--18*   TYPE_STRING 
#!EF . #!N #!N Example Visual Programs #!CForestGreen #!N #!N  #!F-adobe-courier-bold-r-normal--18*   
#!N SimplifySurface.net #!EF #!N #!N #!EC #!N #!N See Also #!N 
#!N  #!Lrefine,dxall919 h Refine  #!EL  ,  #!Lreduce,dxall918 h Reduce  #!EL  ,  #!Lisosurf,dxall881 h Isosurface  #!EL  ,  #!Lmap,dxall891 h Map  #!EL  #!N #!N #!N 
 #!F-adobe-times-medium-i-normal--18*   Next Topic #!EF #!N #!N  #!Lslab,dxall949 h Slab  #!EL  #!N  #!F-adobe-times-medium-i-normal--18*   #!N 