We study the scenario of a multiview setting, where several
calibrated views of a textured object with known surface
geometry are available. The objective is to estimate a
diffuse texture map as precisely as possible. A superresolution
image formation model based on the camera properties
leads to a total variation energy for the desired texture map,
which can be recovered as the minimizer of the functional
by solving the Euler-Lagrange equation on the surface. The
PDE is transformed to planar texture space via an automatically
created conformal atlas, where it can be solved using
total variation deblurring. The proposed approach allows
to recover a high-resolution, high-quality texture map even
from lower-resolution photographs, which is of interest for
a variety of image-based modeling applications.