| 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 | |