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.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. http://mathworld.wolfram.com/LatticePolygon.html
see also Randall Crandall Projects in Scientific Computation ISBN-10: 0387950095 (but I forget why this book is relevant)