Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Learning 3D Face Morphable Model from In-the-wild Images   As a classic statistical model of 3D facial shape and albedo, 3D Morphable
Model (3DMM) is widely used in facial analysis, e.g., model fitting, image
synthesis. Conventional 3DMM is learned from a set of 3D face scans with
associated well-controlled 2D face images, and represented by two sets of PCA
basis functions. Due to the type and amount of training data, as well as, the
linear bases, the representation power of 3DMM can be limited. To address these
problems, this paper proposes an innovative framework to learn a nonlinear 3DMM
model from a large set of in-the-wild face images, without collecting 3D face
scans. Specifically, given a face image as input, a network encoder estimates
the projection, lighting, shape and albedo parameters. Two decoders serve as
the nonlinear 3DMM to map from the shape and albedo parameters to the 3D shape
and albedo, respectively. With the projection parameter, lighting, 3D shape,
and albedo, a novel analytically-differentiable rendering layer is designed to
reconstruct the original input face. The entire network is end-to-end trainable
with only weak supervision. We demonstrate the superior representation power of
our nonlinear 3DMM over its linear counterpart, and its contribution to face
alignment, 3D reconstruction, and face editing.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas