From f82b4476293617144b87efd8702ef9272f38f02b Mon Sep 17 00:00:00 2001 From: fOuttaMyPaint Date: Sun, 19 Jul 2026 19:14:19 -0400 Subject: [PATCH] fix: connect vertex-weight-limit's arm parts and straighten the reach Round two on the hero: the shoulder hub caps read as floating wheels, the hinge caps floated off the clevis, the fingers hung above a palm void, the bellows recessed at both ends, and the curled claw jammed against the top of the frame. Removed the hub and rooted the upper arm deep in the fairing (articulation cannot open a gap), set the hinge caps flush on the clevis cheeks, grew the palm into the finger roots, matched bellows end radii to the shells they join, and relaxed Wrist/Claw so the claw holds a verified 103 px top margin (posed-vertex NDC projection, not eyeballing). Check contracts unchanged: pre_max=5, values identical on 5.1.2 and 4.5.11 (verts=1856, limited=128, sum 2.98e-08, pose 2.80e-03, lbs 2.98e-07). Re-falsified: exits 4/6/8 (sums 1.269e-02, LBS dev 1.777). Signed-off-by: fOuttaMyPaint --- .../assets/vertex-weight-limit-hero.webp | Bin 9902 -> 9920 bytes .../game-pipeline-audit-contact-sheet.webp | Bin 56184 -> 56110 bytes docs/gallery/vertex-weight-limit/index.html | 33 +++++++++--------- examples/vertex-weight-limit/README.md | 8 ++--- examples/vertex-weight-limit/preview.webp | Bin 8606 -> 8648 bytes .../vertex_weight_limit.py | 31 ++++++++-------- 6 files changed, 35 insertions(+), 37 deletions(-) diff --git a/docs/gallery/assets/vertex-weight-limit-hero.webp b/docs/gallery/assets/vertex-weight-limit-hero.webp index 805019160e7cf62e06915989577f6306507e3d8a..fbd5b3e88085502f1d597794b5a459ccc9f8de3e 100644 GIT binary patch literal 9920 zcmV;xCO_FyNk&GvCIA3eMM6+kP&gp0CIA3Xqye1)DgXu00zOeFl18JZp`jqt*f`J% z32AQNUzTe2zAO9xLvERHlxm->2U&-`75s z{$xLIy;{HN{?7Zy^alRL{_m}i&{OwU(}UUH_jl6ISC7=&roPvO*{#C)m9psvknpA% z^~Xf%&vMjN$96q^`}gnPzkdDu_!15}Cr+I@bm`NlPMtb*>C>j@U!6K02)J;t>0v=? zM;Z~1pvg-`{W~op2VN!Iz!mCXkY4u!9fbsQYZfeB+6%i&v=%H=irTs3a8XQwO>0qT 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-

A runnable example that rigs a mech arm — bolted pedestal and shoulder fairing, a shoulder hub and clevis-ended upper arm, the elbow hinge pin inside a ribbed flex bellows, a long plated forearm, wrist bellows and collar, and a three-finger gripper — with deliberately rich five-bone weight bumps in the bellows, then enforces the game-engine maximum of four bone influences per vertex through the data API, following mesh-editing-and-bmesh and building on the linear-blend-skinning precedent of armature-bend.

+

A runnable example that rigs a mech arm — bolted pedestal and shoulder fairing, an upper arm ending in clevis cheeks, the elbow hinge pin capped through a ribbed flex bellows, a long plated forearm, wrist bellows and collar, and a three-finger gripper — with deliberately rich five-bone weight bumps in the bellows, then enforces the game-engine maximum of four bone influences per vertex through the data API, following mesh-editing-and-bmesh and building on the linear-blend-skinning precedent of armature-bend.

Pipeline arc: modeling/LOD in lod-decimate-chain, weighting here, export in gltf-export-roundtrip.

What it witnesses: the skinning constraint every game engine enforces and AI-generated rigging code most often violates silently.

1. The limit is a data-API operation, not a context operator. Instead of bpy.ops.object.vertex_group_limit_total, the example reads each vertex's groups, keeps the top four by weight, VertexGroup.removes the rest, and renormalizes the survivors. Dropping without renormalizing leaves sums at 0.986 — a mesh that shrinks toward the origin under load (the check's measured failure, 1.438e-02 off unit sum). 2. The armature modifier is still exactly linear blend skinning after the limit: every depsgraph-evaluated vertex equals Σ wᵢ · (pose.matrix @ bone.matrix_local.inverted()) @ rest, with the weights read back from the mesh's own deform layer (v.groups) — the weights on the mesh are the contract, not the weights you meant to write. Measured lbs_err = 3.0e-07. 3. Pruning must not damage the pose. Evaluated positions before and after the limit are held within 0.05 (measured 3.0e-03), the pedestal mount stays exactly pinned (Root is unposed), and the pre-limit authoring really carries five influences in the boots — otherwise the witness would be vacuous.

@@ -248,7 +248,7 @@

Source

BONE_SPANS = {"Root": (-0.35, 0.10), "Shoulder": (0.10, 1.35), "Elbow": (1.35, 2.55), "Wrist": (2.55, 2.90), "Claw": (2.90, 3.35)} BONE_CENTERS = {b: (s[0] + s[1]) / 2 for b, s in BONE_SPANS.items()} -POSE_DEG = {"Shoulder": -8.0, "Elbow": -35.0, "Wrist": -18.0, "Claw": 12.0} +POSE_DEG = {"Shoulder": -8.0, "Elbow": -35.0, "Wrist": -14.0, "Claw": 6.0} # armor palette slots GUNMETAL, ORANGE, RUBBER, ACCENT = 0, 1, 2, 3 @@ -332,25 +332,24 @@

Source

cone_part(bm, 0.05, 0.04, 0.06, (0.36 * math.cos(a), 0.36 * math.sin(a), 0.03), (0, 0, 0), GUNMETAL, part_of, "Root") - # shoulder hub poking through the fairing (rigid on Shoulder) - cone_part(bm, 0.19, 0.19, 0.56, (0.0, 0.0, 0.62), (90, 0, 0), - GUNMETAL, part_of, "Shoulder") - # upper arm shell, slimmer than the old barrel (rigid on Shoulder) - tag(lathe_part(bm, [(0.45, 0.19), (0.60, 0.23), (0.80, 0.24), - (1.00, 0.23), (1.15, 0.21)], ORANGE), "Shoulder") + # upper arm shell rooted deep inside the fairing — no gap at the + # shoulder when the joint articulates (rigid on Shoulder) + tag(lathe_part(bm, [(0.10, 0.14), (0.30, 0.19), (0.45, 0.19), + (0.60, 0.23), (0.80, 0.24), (1.00, 0.23), + (1.15, 0.21)], ORANGE), "Shoulder") # clevis cheeks the hinge pin rides in (rigid on Shoulder) for sy in (-1, 1): box_part(bm, (0.12, 0.05, 0.42), (0.0, sy * 0.165, 1.24), (0, 0, 0), ORANGE, part_of, "Shoulder") # elbow flex bellows: the five-influence zone the limit prunes - tag(lathe_part(bm, [(1.15, 0.17), (1.20, 0.20), (1.26, 0.16), - (1.33, 0.20), (1.40, 0.16), (1.47, 0.20), - (1.55, 0.17)], RUBBER), "FLEX") + tag(lathe_part(bm, [(1.15, 0.21), (1.20, 0.19), (1.26, 0.21), + (1.33, 0.19), (1.40, 0.21), (1.47, 0.19), + (1.55, 0.19)], RUBBER), "FLEX") # the hinge pin through the cheeks, capped both ends (rides Elbow) cone_part(bm, 0.15, 0.15, 0.46, (0.0, 0.0, 1.35), (90, 0, 0), GUNMETAL, part_of, "Elbow") for sy in (-1, 1): - cone_part(bm, 0.18, 0.18, 0.05, (0.0, sy * 0.225, 1.35), + cone_part(bm, 0.17, 0.17, 0.05, (0.0, sy * 0.215, 1.35), (90, 0, 0), GUNMETAL, part_of, "Elbow") # bright seal ring on the bellows middle — the accent marking the # primary pruned-weight zone @@ -363,19 +362,19 @@

Source

box_part(bm, (0.10, 0.05, 0.60), (0.0, 0.235, 2.02), (0, 0, 0), ORANGE, part_of, "Elbow") # wrist flex bellows (second blend zone) + collar - tag(lathe_part(bm, [(2.45, 0.16), (2.51, 0.19), (2.57, 0.15), - (2.64, 0.18), (2.70, 0.15), (2.75, 0.16)], + tag(lathe_part(bm, [(2.45, 0.18), (2.51, 0.20), (2.57, 0.16), + (2.64, 0.19), (2.70, 0.16), (2.75, 0.17)], RUBBER), "FLEX") tag(lathe_part(bm, [(2.75, 0.16), (2.85, 0.175), (2.90, 0.16)], GUNMETAL), "Wrist") # palm block (rigid on Wrist) - box_part(bm, (0.26, 0.20, 0.14), (0.0, 0.0, 2.99), + box_part(bm, (0.30, 0.22, 0.24), (0.0, 0.0, 2.98), (0, 0, 0), GUNMETAL, part_of, "Wrist") # three two-segment fingers, splayed (rigid on Claw) for a_deg in (90.0, 210.0, 330.0): a = math.radians(a_deg) - for pos, tilt, size in (((0.09, 3.11), 12.0, (0.075, 0.11, 0.22)), - ((0.15, 3.28), 26.0, (0.06, 0.095, 0.18))): + for pos, tilt, size in (((0.08, 3.08), 12.0, (0.075, 0.11, 0.22)), + ((0.14, 3.26), 26.0, (0.06, 0.095, 0.18))): off, z = pos m = (mathutils.Matrix.Translation((0.0, 0.0, z)) @ mathutils.Matrix.Rotation(a, 4, 'Z') diff --git a/examples/vertex-weight-limit/README.md b/examples/vertex-weight-limit/README.md index 11d61d9..51d5463 100644 --- a/examples/vertex-weight-limit/README.md +++ b/examples/vertex-weight-limit/README.md @@ -1,10 +1,10 @@ # Vertex Weight Limit A runnable example that rigs a mech arm — bolted pedestal and shoulder -fairing, a shoulder hub and clevis-ended upper arm, the elbow hinge pin inside -a ribbed flex bellows, a long plated forearm, wrist bellows and collar, and a -three-finger gripper — with deliberately rich five-bone weight bumps in the -bellows, then enforces the game-engine +fairing, an upper arm ending in clevis cheeks, the elbow hinge pin capped +through a ribbed flex bellows, a long plated forearm, wrist bellows and +collar, and a three-finger gripper — with deliberately rich five-bone weight +bumps in the bellows, then enforces the game-engine **maximum of four bone influences per vertex** through the data API, following [`mesh-editing-and-bmesh`](../../skills/mesh-editing-and-bmesh/SKILL.md) and building on the linear-blend-skinning precedent of diff --git a/examples/vertex-weight-limit/preview.webp b/examples/vertex-weight-limit/preview.webp index fec640cd9750a02c6a75fce54787711d07c81013..69a5733a72a16dbdae8d799adc82c4ef59b1fa9e 100644 GIT binary patch literal 8648 zcmV;(AvfMqNk&G%ApihZMM6+kP&gp8ApijIbOD_KDzF5j0zOeDkVhk-p`#$MNI-B3 z32AQem}H@{r!}=PFYdqp^hju_&@^?nf97z17%pi&=P_?}^t0Hwk9}_W&pe)){_#D+ z|5`d=d5-<6{fPH-|9|^4?*ID-s6X`|`Q2-tgMYc+oZipBxt^GMyM2%cRr8`)4~6gg zeIi7O5+q2GB1DN2BuJ4WM2Qk4NRc8$i4r78ks?Hi5+q2GB1@60c+U%Vuqr1gY17;$ zSH=7_q`RD22C?MlcJ@;~f}IaI=fQ5(Y3Hz>F(+)A#lkEB`HTR;s%So3Clx?_jV3KF z?e$d}U(NSUJb3Zt*!vm1F|Y&KOeyVXqpccL$Fc1@LG1PjfV3Zn>A)nMc=6-Mj~-p4 z$B!P9Hz+C-o*5J1A|A|Lz;DxhVH7A#n?VxFZ7S_B0HZY1`UiN9wk zd=lo!5#S9S*v09L?kpWO6?(PJ5WJT$_e3u7r3LD;6Mv1VioDQKghyq@ps6W0C5j?8 z6xTSSvR%QY%;%xJf@tExgC^HNanQA^)fWar$Qs*Cw`C 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a/examples/vertex-weight-limit/vertex_weight_limit.py b/examples/vertex-weight-limit/vertex_weight_limit.py index 73389af..12aa5bb 100644 --- a/examples/vertex-weight-limit/vertex_weight_limit.py +++ b/examples/vertex-weight-limit/vertex_weight_limit.py @@ -42,7 +42,7 @@ BONE_SPANS = {"Root": (-0.35, 0.10), "Shoulder": (0.10, 1.35), "Elbow": (1.35, 2.55), "Wrist": (2.55, 2.90), "Claw": (2.90, 3.35)} BONE_CENTERS = {b: (s[0] + s[1]) / 2 for b, s in BONE_SPANS.items()} -POSE_DEG = {"Shoulder": -8.0, "Elbow": -35.0, "Wrist": -18.0, "Claw": 12.0} +POSE_DEG = {"Shoulder": -8.0, "Elbow": -35.0, "Wrist": -14.0, "Claw": 6.0} # armor palette slots GUNMETAL, ORANGE, RUBBER, ACCENT = 0, 1, 2, 3 @@ -126,25 +126,24 @@ def tag(rings_verts, bone): cone_part(bm, 0.05, 0.04, 0.06, (0.36 * math.cos(a), 0.36 * math.sin(a), 0.03), (0, 0, 0), GUNMETAL, part_of, "Root") - # shoulder hub poking through the fairing (rigid on Shoulder) - cone_part(bm, 0.19, 0.19, 0.56, (0.0, 0.0, 0.62), (90, 0, 0), - GUNMETAL, part_of, "Shoulder") - # upper arm shell, slimmer than the old barrel (rigid on Shoulder) - tag(lathe_part(bm, [(0.45, 0.19), (0.60, 0.23), (0.80, 0.24), - (1.00, 0.23), (1.15, 0.21)], ORANGE), "Shoulder") + # upper arm shell rooted deep inside the fairing — no gap at the + # shoulder when the joint articulates (rigid on Shoulder) + tag(lathe_part(bm, [(0.10, 0.14), (0.30, 0.19), (0.45, 0.19), + (0.60, 0.23), (0.80, 0.24), (1.00, 0.23), + (1.15, 0.21)], ORANGE), "Shoulder") # clevis cheeks the hinge pin rides in (rigid on Shoulder) for sy in (-1, 1): box_part(bm, (0.12, 0.05, 0.42), (0.0, sy * 0.165, 1.24), (0, 0, 0), ORANGE, part_of, "Shoulder") # elbow flex bellows: the five-influence zone the limit prunes - tag(lathe_part(bm, [(1.15, 0.17), (1.20, 0.20), (1.26, 0.16), - (1.33, 0.20), (1.40, 0.16), (1.47, 0.20), - (1.55, 0.17)], RUBBER), "FLEX") + tag(lathe_part(bm, [(1.15, 0.21), (1.20, 0.19), (1.26, 0.21), + (1.33, 0.19), (1.40, 0.21), (1.47, 0.19), + (1.55, 0.19)], RUBBER), "FLEX") # the hinge pin through the cheeks, capped both ends (rides Elbow) cone_part(bm, 0.15, 0.15, 0.46, (0.0, 0.0, 1.35), (90, 0, 0), GUNMETAL, part_of, "Elbow") for sy in (-1, 1): - cone_part(bm, 0.18, 0.18, 0.05, (0.0, sy * 0.225, 1.35), + cone_part(bm, 0.17, 0.17, 0.05, (0.0, sy * 0.215, 1.35), (90, 0, 0), GUNMETAL, part_of, "Elbow") # bright seal ring on the bellows middle — the accent marking the # primary pruned-weight zone @@ -157,19 +156,19 @@ def tag(rings_verts, bone): box_part(bm, (0.10, 0.05, 0.60), (0.0, 0.235, 2.02), (0, 0, 0), ORANGE, part_of, "Elbow") # wrist flex bellows (second blend zone) + collar - tag(lathe_part(bm, [(2.45, 0.16), (2.51, 0.19), (2.57, 0.15), - (2.64, 0.18), (2.70, 0.15), (2.75, 0.16)], + tag(lathe_part(bm, [(2.45, 0.18), (2.51, 0.20), (2.57, 0.16), + (2.64, 0.19), (2.70, 0.16), (2.75, 0.17)], RUBBER), "FLEX") tag(lathe_part(bm, [(2.75, 0.16), (2.85, 0.175), (2.90, 0.16)], GUNMETAL), "Wrist") # palm block (rigid on Wrist) - box_part(bm, (0.26, 0.20, 0.14), (0.0, 0.0, 2.99), + box_part(bm, (0.30, 0.22, 0.24), (0.0, 0.0, 2.98), (0, 0, 0), GUNMETAL, part_of, "Wrist") # three two-segment fingers, splayed (rigid on Claw) for a_deg in (90.0, 210.0, 330.0): a = math.radians(a_deg) - for pos, tilt, size in (((0.09, 3.11), 12.0, (0.075, 0.11, 0.22)), - ((0.15, 3.28), 26.0, (0.06, 0.095, 0.18))): + for pos, tilt, size in (((0.08, 3.08), 12.0, (0.075, 0.11, 0.22)), + ((0.14, 3.26), 26.0, (0.06, 0.095, 0.18))): off, z = pos m = (mathutils.Matrix.Translation((0.0, 0.0, z)) @ mathutils.Matrix.Rotation(a, 4, 'Z')