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785c727 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 | import OAI.Geometry.CylinderCovering.Footprints.FootprintsDefinitions
import OAI.Geometry.TriangularCovering.Basic
namespace OAI
noncomputable section
namespace RadialFootprints
open Set MeasureTheory
open scoped InnerProductSpace
def coordinateFootprint (p₀ a b : TriangularCovering.Space) (S : Set (ℝ × ℝ)) :
Set TriangularCovering.Space :=
(fun p : ℝ × ℝ => p₀ + p.1 • a + p.2 • b) '' S
def projectedCoordinateFootprint (e w p₀ a b : TriangularCovering.Space)
(S : Set (ℝ × ℝ)) : Set TriangularCovering.Space :=
TriangularCovering.projection (‖e + w‖⁻¹ • (e + w)) '' coordinateFootprint p₀ a b S
end RadialFootprints
end
end OAI
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