mesh_isotropic_remesh — 3D `resolution` op

• Data kinds: mesh → mesh

• Call: import fullseye as fs; fs.ledger.mesh_isotropic_remesh(V, F, target_edge, iterations=5, project=True, relax=0.5) (to call the implementation directly, import meshres; meshres.mesh_isotropic_remesh(V, F, target_edge, iterations=5, project=True, relax=0.5); from the registry, ops3d.get("mesh_isotropic_remesh"))

Usage

Incremental isotropic remeshing to a uniform *target_edge* (`mesh`).

Botsch & Kobbelt, *A Remeshing Approach to Multiresolution Modeling*

(SGP 2004): per iteration (1) split edges longer than 4/3·L, (2) collapse

edges shorter than 4/5·L into their midpoint when the link condition

holds, no incident edge would exceed 4/3·L and no face flips, (3) flip

edges that bring the four valences closer to 6, (4) relax each vertex

toward its neighbours' centroid in the tangent plane (*relax* ∈ [0,1]),

(5) project the result back onto the input surface (closest point on

the original triangles, *project*=True) so the shape is not smoothed

away. Boundary vertices are pinned. The result is a triangle mesh whose

edge lengths cluster around L regardless of how the input was sampled —

the fix for "coarse and dense regions treated alike". Measured on a

pole-clustered UV sphere: edge p95/p5 from 5.6 to < 1.5, area within 2 %,

closed manifold preserved (`tests/test_meshres.py`).

Background guides (the physics and conventions behind this op)

• depth_sensors — 深度センサの知識 — 測距原理・実機の値・欠測の出方

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

Runnable examples (verified samples that actually call this op)

• mesh_resolution_demo — py -3.11 examples_3d/mesh_resolution_demo.py

Ops the type connects to (they accept `mesh` as input)

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

Same category (`resolution`)

mesh_edge_stats · mesh_detail_map · mesh_split_long_edges · mesh_sample_points · mesh_lod_chain · mesh_select_lod · mesh_reduction_report · mesh_decimate_preserving

*Provenance: meshres.py — 3D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

mesh_isotropic_remesh — 3D resolution op