Invert the actual affine basis instead of projecting onto assumed orthogonal axes. Capture the displayed crop frame for handles and apply its relative transform to the full artwork, preserving author clips on rotated pages. Exact out-and-back gestures preserve bytes and undo state, including off-centre presses.
Synthetic headless regressions verify sheared and rotated images, crop-frame anchors, press-offset independence and saved/reopened placement. Degenerate and nonfinite bases are refused; the inverse guard has a negative-control test.
Co-Authored-By: Codex GPT-6.1 <noreply@openai.com>