3D Gaussian Splatting 장면의 지지면 기하 편집을 통한 경사 지형 생성

초록

This study proposes retraining-free slope generation by directly correcting the position, rotation, and scale of support-surface Gaussians. Under 12 conditions applying 10°–40° slopes to LEGO, Hotdog, and Ship, NaN values did not occur, fitted plane error ranged from 0.5767° to 3.4123°, and editing duration was 0.20–1.42 seconds. For LEGO at 30°, rotation correction reduced the rotation-transform consistency error from 29.9870° to 0.0014°, in agreement with the target direction. Tangential scale correction increased projected-boundary alpha discontinuity by 17.73%, 2.70%, and 25.13% in LEGO, Hotdog, and Ship, respectively. In Garden, Region of Interest (ROI) expansion did not consistently improve the height proxy Root Mean Square Error (RMSE) or three-dimensional boundary displacement discontinuity, and some conditions intruded into protected object regions. Therefore, the method resulted in low computational cost and high numerical stability on clear support surfaces; however, the final quality of results depended on ROI selection, object protection, and high-slope scale handling.

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