decimate_qem — 3D `mesh_process` op

• Datenarten: mesh → mesh

• Aufruf: import fullseye as fs; fs.ledger.decimate_qem(V, F, target_faces, protect=None) (die Implementierung direkt: import meshrepair; meshrepair.decimate_qem(V, F, target_faces, protect=None); aus dem Register: ops3d.get("decimate_qem"))

Verwendung

Kantenkollaps-Dezimierung nach dem quadrischen Fehlermaß (QEM) in Richtung *target_faces*.

> Die ausführliche Beschreibung unten ist der Originaltext — Zusammenfassung und Überschriften sind übersetzt.

*protect* (optional, (nv,) bool): vertices that must survive untouched —

no edge incident to a protected vertex is collapsed, so the faces around a

crater rim, a boulder or any region you flagged keep their exact geometry

(`meshres.mesh_decimate_preserving` derives the mask from the detail map

and reports what the rest of the reduction lost).

Garland & Heckbert 1997: each vertex carries the sum of the squared-distance

quadrics of its incident face planes; the cheapest edge is collapsed to the

position minimising that quadric (a midpoint/endpoint fallback when the 3x3

system is singular, e.g. on a flat face), quadrics are accumulated onto the

surviving vertex, and incident edge costs are re-queued. Collapses that would

flip a face normal or land on a non-manifold edge are skipped, so the result

stays a sane surface.

Honest scope: this is a practical QEM, not production-grade. It has no

boundary-preservation term, no attribute (colour/UV) quadrics and no

aggressive validity recovery, so on awkward meshes a few non-ideal collapses

can survive and the collapse may stop a little short of *target_faces* when

every remaining candidate is blocked by the flip/manifold guard. Good enough

for a cheap collision proxy; not a replacement for a dedicated remesher.

Hintergrundwissen (Physik und Konventionen hinter diesem Operator)

• blender_interop — Blender との併用 — 形を作って fullseye で測る(軸・単位・正解データの罠)

Referenzen (Beispieldaten, Literatur)

• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).

• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.

Ausführbare Beispiele (verifizierte Samples, die diesen Operator wirklich aufrufen)

• mesh_decimate — py -3.11 examples_3d/mesh_decimate.py

• mesh_lod_download — py -3.11 examples_3d/mesh_lod_download.py

• mesh_resolution_demo — py -3.11 examples_3d/mesh_resolution_demo.py

Typkompatible Folge-Operatoren (nehmen `mesh` als Eingabe)

mesh_to_voxel · mesh_to_points · to_points · fuse_to_voxel · ambient_occlusion · cast_shadow · supersample_mesh · render_beauty

Gleiche Kategorie (`mesh_process`)

laplacian_smooth · taubin_smooth · face_normals · vertex_normals · mesh_area · vertex_curvature · face_areas · mesh_volume

*Provenance: meshrepair.py — 3D Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*

decimate_qem — 3D mesh_process op