Figure - PMC

Skip to main content

View full-text article in PMC

. Author manuscript; available in PMC: 2022 Mar 29.

Published in final edited form as: Proc IEEE Int Conf Comput Vis. 2021 Oct;2021:3376–3385. doi: 10.1109/iccv48922.2021.00338

Figure 4: — In this example, grid points (solid black discs) map to each other inverse consistently. The forward map (a) is inverted by the backward map (b). However, folding of the space occurs as the middle two points swap positions. Off-grid points map under linear interpolation according to (c/d). We see that the interpolated displacements for the small solid red disc () do not result in an invertible map. Hence, this mismatch would be penalized by the inverse consistency loss, but only when evaluated off-grid.

Inline graphic — In this example, grid points (solid black discs) map to each other inverse consistently. The forward map (a) is inverted by the backward map (b). However, folding of the space occurs as the middle two points swap positions. Off-grid points map under linear interpolation according to (c/d). We see that the interpolated displacements for the small solid red disc () do not result in an invertible map. Hence, this mismatch would be penalized by the inverse consistency loss, but only when evaluated off-grid.