Skill: depth-and-dimensional-measurement

[Case 2]

• Initial Environment: The agent sees an indoor room with two marked pixels, one on the near edge of a bed frame and one on a suitcase farther back in the room. Both points are visible in the same observation, and their apparent size cues are subtle.
• Real Question: Which marked point is nearer to the viewer?
• Real Answer: The point on the bed frame is nearer.
• Why this demonstrates the capability: The agent must compare scene depth at two precise locations. It cannot answer correctly by reasoning only about object categories, because either object could in principle be near or far. The required behavior is explicit depth comparison.

[Case 3]

• Initial Environment: A manipulation workspace contains a rectangular storage box, a ruler, and a mug. The agent is shown enough viewpoints that the box is fully visible while the ruler is only partly visible.
• Real Question: What is the length of the box?
• Real Trajectory: The agent selects the object boundaries across views, rejects the partially visible ruler as the target, and estimates the long-axis measurement of the box.
• Real Answer: 420 millimeters.
• Why this demonstrates the capability: The distractor object invites category-based confusion, but the task demands an object-specific geometric estimate. The difficulty comes from converting appearance into dimension under partial clutter. That is precisely what dimensional measurement is intended to test.

Pipeline Execution Instructions

To synthesize data for this capability, you must strictly follow a 3-phase pipeline. Do not hallucinate steps. Read the corresponding reference file for each phase sequentially:

1. Phase 1: Environment Exploration Read the exploration guidelines to discover raw knowledge seeds: references/EXPLORATION.md

2. Phase 2: Trajectory Selection Once Phase 1 is complete, read the selection criteria to evaluate the trajectory: references/SELECTION.md

3. Phase 3: Data Synthesis Once a trajectory passes Phase 2, read the synthesis instructions to generate the final data: references/SYNTHESIS.md