Horizon Leveling Video Constraint Model Using Roll-Pitch-Yaw Axes

The constraint model is segmented into multiple discrete roll angle positions (e.g., 0°, 45°, 90°, 135°, 180°) rather than attempting to cover the continuous full range. This segmentation allows the system to achieve complete horizon leveling through discrete sampling points, resolving the contradiction by making the model manageable in complexity while maintaining reliability through strategic position selection.

The patent applies partial action by selecting specific critical roll angle positions (0°, 45°, 90°, 135°, 180°) rather than covering every possible angle. This partial sampling is sufficient to enable complete horizon leveling because these positions represent the essential orientations needed to level the horizon in all directions, thus achieving full functionality without requiring a complete continuous model.

The viewing window placement computation is segmented into discrete roll angle positions (0°, 45°, 90°, 135°, 180°) rather than requiring continuous computation across all angles. This segmentation reduces computational complexity while maintaining horizon leveling completeness by focusing calculations only on these critical positions that collectively cover the full 180-degree range.

The system performs partial computation by calculating viewing window placements only at specific roll angle positions (0°, 45°, 90°, 135°, 180°) rather than computing for every possible angle. This partial computational approach is sufficient to achieve complete horizon leveling because these discrete positions provide the necessary coverage to level the horizon in all directions, thus reducing computational burden while maintaining reliability.