  Recently, Convolutional Neural Networks have shown promising results for 3D
geometry prediction. They can make predictions from very little input data such
as a single color image. A major limitation of such approaches is that they
only predict a coarse resolution voxel grid, which does not capture the surface
of the objects well. We propose a general framework, called hierarchical
surface prediction (HSP), which facilitates prediction of high resolution voxel
grids. The main insight is that it is sufficient to predict high resolution
voxels around the predicted surfaces. The exterior and interior of the objects
can be represented with coarse resolution voxels. Our approach is not dependent
on a specific input type. We show results for geometry prediction from color
images, depth images and shape completion from partial voxel grids. Our
analysis shows that our high resolution predictions are more accurate than low
resolution predictions.
