Abstract
Diffusion-based image editors have become central tools for interactive visual manipulation, combining probabilistic generative models with flexible conditioning mechanisms. Many practical editing scenarios require simultaneous control of global image style and preservation of local scene structure, for example when re-rendering a photograph in a target artistic style while maintaining object identities, spatial layout, and fine geometric details. However, the latent spaces employed by diffusion models and their associated encoders often entangle style-related and structure-related factors, and naive conditioning or prompt-based guidance tends to either over-write local content or fail to propagate a coherent global appearance. This work studies latent-space control in diffusion-based editors with a particular focus on the trade-off between global style changes and local structure preservation. The paper develops a geometric perspective on latent diffusion spaces, where style manipulations are modeled as movements along a low-dimensional subspace while local structure is treated as a set of constraints induced by the image decoder and the diffusion denoising dynamics. Building on this perspective, we describe optimization-based formulations that explicitly balance style and structural losses, and we interpret several existing heuristic editing strategies as approximations to these formulations. We then outline practical algorithms that combine subspace projections, attention-weighted locality masks, and time-dependent control signals injected along the diffusion trajectory. Experimental scenarios are discussed qualitatively to illustrate how different design choices affect the balance between global coherence and local fidelity, and limitations and possible extensions of the approach are examined in detail.

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