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Exact Rational Segment Arrangement DCEL with Face/Hole Topology
x402
Exact Rational Segment Arrangement DCEL with Face/Hole Topology is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).
Computes the complete planar subdivision (DCEL) induced by a set of closed line segments, returning all half-edges, faces, bounded regions, inner boundary components, and connectivity incidence with overlap splitting.
Price / call$0.003
Success—
StatusUnknown
How this service works
Recover the complete exact planar subdivision induced by supplied closed segments, including overlap splitting, twin/next incidence, disconnected components, bounded faces and inner boundary components; not segment clipping or intersection counting.
Output
Returns the complete doubly-connected edge list (DCEL) for the planar arrangement induced by the input segments, including: all half-edges with twin and next pointers, bounded and unbounded faces, inner boundary (hole) components, and disconnected components. Overlap segments are properly split. The topology is computed with exact rational arithmetic.
Example use cases
Architectural floor plan topology recovery
“I have the wall segments of a floor plan as closed line segments — can you compute the complete planar subdivision they form, with all rooms (bounded faces), holes, and half-edge connectivity so I can traverse adjacency between rooms?”
Validating claimed polygon arrangement
“I submitted a planar arrangement claim for these 20 closed segments. Can you recover the exact DCEL including all face/hole topology and check whether the claimed structure matches what the segments actually induce, including any overlapping splits?”
Circuit board region decomposition
“Here are the closed boundary segments of a PCB layout. I need the full planar subdivision with every bounded face, inner boundary component, and twin/next half-edge incidence — including properly split overlapping segments — so I can enumerate all enclosed copper regions.”
Technical details
Endpoint
POSThttps://detect.halowerk.com/v1/F-TD2000-DATASTRUCTURES-10/exact-rational-segment-arrangement-dcel-face-hole-topology?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need the full exact planar topology — not just intersection counts or clipped segments — but the complete DCEL with face enumeration, hole detection, and half-edge incidence for a set of closed line segments. It is the right choice for applications that must traverse face adjacency, enumerate bounded regions, detect holes, or verify a topological claim about a planar arrangement. Prefer it over intersection-only APIs when downstream processing requires walking the half-edge structure.
Side effects
- Malformed or non-closed segments in input array causing rejection
- Exceeding the 512-segment array limit resulting in schema validation error
- Invalid or inconsistent arrangement claim leading to mismatch error
- Degenerate input (e.g. all collinear segments) producing unexpected face structure
- Ill-formed JSON artifact structure causing request failure
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| artifact | object |
Tags
x402
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