Difference between revisions of "Polygon Area"
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(Created page with 'To calculate the area of a non-self-intersecting polygon: see Polygon Area at : :Weisstein, Eric W. "Polygon Area." From MathWorld--A Wolfram Web Resource. http://mathworld.wolf…') |
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see Polygon Area at : | see Polygon Area at : | ||
| − | :Weisstein, Eric W. "Polygon Area." From MathWorld--A Wolfram Web Resource. | + | :Weisstein, Eric W. "Polygon Area." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PolygonArea.html |
If the polygon is a lattice polygon, then area can be calculated from the number of interior lattice points by Picks theorem: | If the polygon is a lattice polygon, then area can be calculated from the number of interior lattice points by Picks theorem: | ||
| − | + | :''A = I + B/2 - 1, where I = # of interior lattice points, B = # of border points'' | |
SInce all the outlines in MindsEye are on a pixelated grid, this may be the fastest way to calculate the area. | SInce all the outlines in MindsEye are on a pixelated grid, this may be the fastest way to calculate the area. | ||
| − | :Weisstein, Eric W. "Lattice Polygon." From MathWorld--A Wolfram Web Resource. | + | :Weisstein, Eric W. "Lattice Polygon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LatticePolygon.html |
Latest revision as of 14:19, 7 September 2022
To calculate the area of a non-self-intersecting polygon:
see Polygon Area at :
- Weisstein, Eric W. "Polygon Area." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PolygonArea.html
If the polygon is a lattice polygon, then area can be calculated from the number of interior lattice points by Picks theorem:
- A = I + B/2 - 1, where I = # of interior lattice points, B = # of border points
SInce all the outlines in MindsEye are on a pixelated grid, this may be the fastest way to calculate the area.
- Weisstein, Eric W. "Lattice Polygon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LatticePolygon.html
see also Randall Crandall Projects in Scientific Computation ISBN-10: 0387950095 (but I forget why this book is relevant)