arXiv:2607.02417v2 Announce Type: replace Abstract: Autonomous robots often need to move their camera before they can act: to inspect an object, reveal an occluded region, or obtain a view that responds to a user's intent. While vision-language navigation translates instructions to base motion and vision-language-action policies map instructions to manipulation actions, vision-language conditioned camera motion remains comparatively underexplored as a first-class action. We formulate vision-language conditioned camera motion generation: given a current RGB observation and a free-form natural-language intent, predict a relative target camera pose for the next observation. The challenge is that useful viewpoint changes depend on latent perceptual intent, ranging from coarse spatial moves to fine-grained inspection or occlusion revealing. To model this structure, we mine multi-intent camera-motion supervision from egocentric video via hindsight labeling, pairing each relative SE(3) target pose with plausible intents and observation-gain descriptions inferred from the reached view. We propose LIME, a vision-language camera-motion generator that combines an autoregressive observation-gain output with a continuous flow-matching pose head. This design lets the model jointly predict what the next view should reveal while representing multi-hypothesis target views. Across viewpoint-prediction experiments and downstream robotic tasks, we show that LIME learns intent-conditioned camera motion from passive egocentric video, turning ordinary human recordings into supervision for a reusable active-perception primitive that supports general-purpose viewpoint selection, manipulation, embodied question answering, and mid-distance navigation.