authors 
Franklin, Randolph 
year 
1980 
title 
A Linear Time Exact Hidden Surface Algorithm 
source 
SIGGRAPH '80 Conference Proceedings. July, 1980. vol. 14 ; no. 3: pp. 117133 : ill. includes bibliography 
summary 
This Paper presents a new hidden surface algorithm. Its output is the set of the visible pieces of edges and faces, and is as accurate as the arithmetic precision of the computer. Thus calculating the hidden surfaces for a higher resolution device takes no more time. If the faces are independently and identically distributed, then the execution time is linear in the number of faces. In particular, the execution time does not increase with the depth complexity. This algorithm overlays a grid on the screen whose fineness depends on the number and size of the faces. Edges and faces are sorted into grid cells. Only objects in the same cell can intersect or hide each other. Also, if a face completely covers a cell then nothing behind it in the cell is relevant. Three programs have tested this algorithm. The first verified the variable grid concept on 50,000 intersecting edges. The second verified the linear time, fast speed, and irrelevance of depth complexity for hidden lines on 10,000 spheres. This also tested depth complexities up to 30, and showed that perspective scenes with the farther objects smaller are even faster to calculate. The third verified this for hidden surfaces on 3,000 squares 
keywords 
hidden surfaces, algorithms, hidden lines, variables, grids, computer graphics, programming 
series 
CADline 
references 
Contenttype: text/plain

last changed 
2003/06/02 11:58 
