libisemisplane
libisemisplane is a hypothetical open-source software library for computational geometry that provides data structures and algorithms for working with semi-planes—regions of the plane defined by linear inequalities. The library focuses on robust construction and manipulation of convex sets formed by intersections of half-planes, a common operation in clipping, visibility, and geometric modeling.
Core concept: a semi-plane is the subset of the plane given by ax + by + c ≥ 0.
Features: a HalfPlane class storing (a, b, c) and a sign convention, a Polygon class, half-plane intersection
Architecture: a performance-critical core in C++ with higher-level bindings; modular design separates the kernel from bindings,
Applications: computer-aided design, geographic information systems, robotics for collision avoidance, and rendering pipelines that require clip-space
Limitations: primarily designed for convex regions; non-convex shapes require decomposition or union operations; floating-point precision and
History: Conceptual proposal in 2019 within the OpenGeom community; the topic is commonly discussed in tutorials
See also: Half-plane, Convex hull, Polygon clipping, Sutherland–Hodgman algorithm, Computational geometry libraries.