Lofioriented
Lofioriented is an adjective used in geometric modeling and data analysis to describe a property of curves, surfaces, and discrete structures that maintain a consistent orientation under a family of low-fidelity approximations. In practice, a lofioriented object is one for which the documented orientation—such as clockwise versus counterclockwise along a boundary—persists when the object is represented with progressively coarser sampling, polygons with fewer vertices, or simplified grids.
The term is derived from low-fidelity (lo-fi) approximations and orientation. It was introduced in discussions around
Intuitively, a lofioriented curve or surface provides a consistent normal or tangent direction that can be
Simple closed polygons with a fixed boundary orientation are lofioriented. By contrast, a curve that reverses
Applications include mesh simplification, real-time rendering, and streaming geometry where maintaining directional consistency helps avoid rendering
See also orientation, orientation-preserving transformations, mesh processing, and downsampling.