实验 50:A44 Topology-preserving Projection

用 A42 水密单组件作为 signed carrier,测试拓扑保持的表面投影是否改善 GT 几何

实验定位 负结果 / 机制有效

A44 试图把 A42 的 component prior 往 signed/local 方向推进:不再用 unsigned UDF 重新抽壳,而是把 A42 单组件水密 mesh 当作 signed/topology carrier,保持面片连接不变,只把顶点向 visible-kept 和 replacement patch target surface 小步投影。

结果是一个很有价值的负结果:水密率保持 100.0%、components 保持 1,visible p95 从 carrier 的 0.03251 降到 0.02730;但 GT Chamfer 从 0.08930 变差到 0.09004。visible-heavy 进一步降低 proxy 到 0.02389,GT 仍更差。

实验设计(Image-2 风格)

实验设计图:A44 topology-preserving projection
实验设计图:A44 topology-preserving projection
模块设计图:signed carrier deformation
模块设计图:signed carrier deformation

模块设计(Image-2 风格)

Signed Carrier

  • 输入:A42 visible-prior 单组件水密 mesh。
  • 拓扑:不改变 faces/connectivity,carrier 提供闭合符号结构。
  • 目标:visible-kept surface 和 raw replacement patch samples。
  • 变体:soft、visible-heavy、projection+smooth。

Projection Gate

  • nearest target 按 visible/patch label 取不同 alpha。
  • tau 限制只移动靠近 target 的顶点。
  • max_step 限制单次位移。
  • 评估同时看 proxy p95 与 GT Chamfer,避免观测点云过拟合。

实验结果(表格)

聚合结果

变体GT Chamfer↓F@5↑水密率↑components↓boundary↓nonmanifold↓visible p95↓patch p95↓active vertices↓p95 move结论
A42 carrier control0.089300.4495100.0%1000.032510.035370.0%0.00000carrier baseline
soft projection0.090040.4471100.0%1000.027300.03070100.0%0.00700proxy 改善 / GT 变差
visible-heavy projection0.090360.4454100.0%1000.023890.02810100.0%0.01375proxy 改善 / GT 变差
projection + Taubin smooth0.090330.4456100.0%1000.026350.03062100.0%0.00900proxy 改善 / GT 变差

逐 case 输出

case变体GT Chamfer↓F@5↑watertightcomponentsvisible p95patch p95active verticesp95 moveOBJ
gso_002_input4A42 carrier control0.045840.6875True10.033230.037940.0%0.00000/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_002_input4/mesh_carrier_control.obj
gso_002_input4soft projection0.045980.6899True10.028840.03325100.0%0.00700/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_002_input4/mesh_signed_project_soft.obj
gso_002_input4visible-heavy projection0.046310.6878True10.026460.03037100.0%0.01375/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_002_input4/mesh_signed_project_visible.obj
gso_002_input4projection + Taubin smooth0.046410.6872True10.028230.03277100.0%0.00900/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_002_input4/mesh_signed_project_smooth.obj
gso_008_input4A42 carrier control0.132760.2114True10.031780.032800.0%0.00000/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_008_input4/mesh_carrier_control.obj
gso_008_input4soft projection0.134090.2044True10.025760.02816100.0%0.00700/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_008_input4/mesh_signed_project_soft.obj
gso_008_input4visible-heavy projection0.134420.2029True10.021320.02583100.0%0.01375/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_008_input4/mesh_signed_project_visible.obj
gso_008_input4projection + Taubin smooth0.134250.2040True10.024460.02848100.0%0.00900/home/jiachen/TRELLIS/experiments/nonorthogonal_gpt_orthoview/outputs/data_survey/vggt_spatial_adapter/support_guidance_a44_topology_preserving_projection/gso_008_input4/mesh_signed_project_smooth.obj

可视化结果

A44 GT Chamfer mean
A44 GT Chamfer mean
A44 visible proxy p95
A44 visible proxy p95
A44 active vertex ratio
A44 active vertex ratio
gso_002_input4 carrier projection overlay
gso_002_input4 carrier projection overlay
gso_008_input4 carrier projection overlay
gso_008_input4 carrier projection overlay

实验结论

下一步想法