  A fundamental problem in the texturing of 3D meshes using pre-trained
text-to-image models is to ensure multi-view consistency. State-of-the-art
approaches typically use diffusion models to aggregate multi-view inputs, where
common issues are the blurriness caused by the averaging operation in the
aggregation step or inconsistencies in local features. This paper introduces an
optimization framework that proceeds in four stages to achieve multi-view
consistency. Specifically, the first stage generates an over-complete set of 2D
textures from a predefined set of viewpoints using an MV-consistent diffusion
process. The second stage selects a subset of views that are mutually
consistent while covering the underlying 3D model. We show how to achieve this
goal by solving semi-definite programs. The third stage performs non-rigid
alignment to align the selected views across overlapping regions. The fourth
stage solves an MRF problem to associate each mesh face with a selected view.
In particular, the third and fourth stages are iterated, with the cuts obtained
in the fourth stage encouraging non-rigid alignment in the third stage to focus
on regions close to the cuts. Experimental results show that our approach
significantly outperforms baseline approaches both qualitatively and
quantitatively. Project page: https://aigc3d.github.io/ConsistenTex.
