Clipping Polygons Dr Scott Schaefer 1 Clipping Polygons
- Slides: 113
Clipping Polygons Dr. Scott Schaefer 1
Clipping Polygons 2/86
Clipping Polygons 3/86
Why Is Polygon Clipping Hard? n What happens to a triangle during clipping? - possible outcomes: triangle quad triangle 5 -gon 4/86
Why Is Polygon Clipping Hard? n What happens to a triangle during clipping? - possible outcomes: triangle quad triangle 5 -gon How many sides could a clipped triangle have? 5/86
How Many Sides? 7 6/86
Why Is Polygon Clipping Hard? Concave polygon Multiple polygons 7/86
Why Is Polygon Clipping Hard? n A really tough case 8/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 9/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 10/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 11/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 12/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 13/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 14/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 15/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 16/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation 17/86
Sutherland-Hodgman Clipping n Basic idea: - consider each edge of the view window individually - clip the polygon against the view window edge’s equation - after doing all edges, the polygon is fully clipped 18/86
Sutherland-Hodgman Clipping n Input/output for algorithm: - input: list of polygon vertices in order {abcdef} a b f e d c 19/86
Sutherland-Hodgman Clipping n Input/output for algorithm: - input: list of polygon vertices in order - output: list of clipped polygon vertices consisting of old vertices (maybe) and new vertices (maybe) 20/86
Sutherland-Hodgman Clipping n Edge from S to E takes one of four cases: outside inside outside E S E no output inside E output inside outside inside S E S I output E output 21/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 22/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 23/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 24/86
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Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 26/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 27/86
Sutherland-Hodgman Algorithm Out In No output b Out In Output E Out In Output I, E 28/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 29/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 30/86
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Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 35/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 36/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 37/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 38/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 39/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 40/86
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Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 45/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 46/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 47/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 48/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 49/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 50/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 51/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 52/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 53/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 54/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 55/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 56/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 57/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 58/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 59/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 60/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 61/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 62/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 63/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 64/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E Possible error for nonconvex polygons 65/86
Sutherland-Hodgman Algorithm Easy to pipeline for parallel processing n Polygon from one boundary does not have to be complete before next boundary starts n n Leads to substantial performance gains 66/86
Weiler-Atherton Algorithm General polygon vs. polygon clipping n Handles non-convex shapes n Not as efficient as Sutherland-Hodgman n Not easy to parallelize n 67/86
Weiler-Atherton Algorithm n n Process the edges of the polygon in a counterclockwise order until an inside-outside pair of vertices is encountered Follow the window boundaries in a counterclockwise direction from the exitintersection point to another intersection point with the polygon Repeat until at a previously processed vertex Return to the exit-intersection point and continue processing the polygon edges in a counterclockwise order 68/86
Weiler-Atherton Algorithm 69/86
Weiler-Atherton Algorithm 70/86
Weiler-Atherton Algorithm 71/86
Weiler-Atherton Algorithm 72/86
Weiler-Atherton Algorithm 73/86
Weiler-Atherton Algorithm 74/86
Weiler-Atherton Algorithm 75/86
Weiler-Atherton Algorithm 76/86
Weiler-Atherton Algorithm 77/86
Weiler-Atherton Algorithm 78/86
Weiler-Atherton Algorithm 79/86
Weiler-Atherton Algorithm 80/86
Weiler-Atherton Algorithm 81/86
Weiler-Atherton Algorithm 82/86
Weiler-Atherton Algorithm 83/86
Weiler-Atherton Algorithm 84/86
Weiler-Atherton Algorithm 85/86
Weiler-Atherton Algorithm 86/86
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Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 88/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 89/86
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Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 92/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 93/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 94/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 95/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 96/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 97/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 98/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 99/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 100/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 101/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 102/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 103/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 104/86
Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 105/86
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Sutherland-Hodgman Algorithm Out In No output Out In Output E Out In Output I, E 113/86
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