Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional   The Mumford-Shah functional approximates a function by a piecewise smooth
function. Its versatility makes it ideal for tasks such as image segmentation
or restoration, and it is now a widespread tool of image processing. Recent
work has started to investigate its use for mesh segmentation and feature lines
detection, but we take the stance that the power of this functional could reach
far beyond these tasks and integrate the everyday mesh processing toolbox. In
this paper, we discretize an Ambrosio-Tortorelli approximation via a Discrete
Exterior Calculus formulation. We show that, combined with a new shape
optimization routine, several mesh processing problems can be readily tackled
within the same framework. In particular, we illustrate applications in mesh
denoising, normal map embossing, mesh inpainting and mesh segmentation.

8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
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The categories of this paper are: nlin
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph