UvDistortion

Remarks

⚠ Reporting one number hides the failure that matters. docs/plan/42 § D6: a conformal map can have perfect angles and a fortyfold area ratio between two ends of one chart, which shows up as a texture that is sharp on the shoulder and mush on the hand — and an angle-only metric calls that excellent.

⚠ Flipped is a correctness field wearing a metric's clothes and must be zero. A flipped triangle is a region of the atlas where the mapping is not invertible: a bake writes to the wrong texel and sampling reads from it. A chart that cannot reach zero is subdivided rather than shipped.

Fields and properties (5)

• public float Angular

  Conformal distortion: how far angles moved.

• public float Area

  Authalic distortion: how far the area ratio moved from uniform.

• public float StretchL2

  Sander's L² stretch, averaged over area.

• public float StretchLInf

  Sander's L^∞ stretch — the worst triangle, not the average.

• public int Flipped

  Triangles whose winding reversed under the mapping.

Methods (1)

• public UvDistortion(float Angular, float Area, float StretchL2, float StretchLInf, int Flipped)

  How distorted a mapping is, measured four ways because the failures are different.

Used by (22)

• CharterVixen.Geometry.Uv
• DistortionVixen.Geometry.Uv
• FlattenOutcomeVixen.Geometry.Uv
• FlattenerVixen.Geometry.Uv
• MeasuredVixen.Geometry.Uv
• UvAllTestsVixen.Geometry.Uv.Tests
• UvChartInvarianceTestsVixen.Geometry.Uv.Tests
• UvChartQualityTestsVixen.Geometry.Uv.Tests
• UvChartTestsVixen.Geometry.Uv.Tests
• UvDensityTestsVixen.Geometry.Uv.Tests
• UvFlattenBijectivityTestsVixen.Geometry.Uv.Tests
• UvFlattenCotangentTestsVixen.Geometry.Uv.Tests
• UvFlattenDistortionTestsVixen.Geometry.Uv.Tests
• UvFlattenInvarianceTestsVixen.Geometry.Uv.Tests
• UvFlattenRepairTestsVixen.Geometry.Uv.Tests
• UvFlattenTestsVixen.Geometry.Uv.Tests
• UvFlattenTopologyTestsVixen.Geometry.Uv.Tests
• UvReportVixen.Geometry.Uv
• UvUnwrapDeterminismTestsVixen.Geometry.Uv.Tests
• UvUnwrapPipelinePropertyTestsVixen.Geometry.Uv.Tests
• BlockoutUvPanelVixen.Editor.Blockout
• GeometryRunnerVixen.Cli