To the Editor—Recent technological developments, such as high-throughput imaging and
sequencing, enable experimentalists to collect increasingly large, complex, and …

Smooth curves and surfaces can be characterized as minimizers of squared curvature
bending energies subject to constraints. In the univariate case with an isometry (length) …

Abstract The discrete Laplace‐Beltrami operator for surface meshes is a fundamental
building block for many (if not most) geometry processing algorithms. While Laplacians on …

We introduce a novel computational framework for digital geometry processing, based upon
the derivation of a nonlinear operator associated to the total variation functional. Such an …

Processing signals on surfaces often involves resampling the signal over the vertices of a
dense mesh and applying mesh-based filtering operators. We present a framework to …

In the paper, we develop a relaxed second-order total generalized variation model on
triangulated surfaces, which couples the first-order gradient operator and the weighted …

Ridge-valley features are important elements of a model. To recognize these features from
point cloud, this paper introduces a new criterion named Extremal Point Distance (EPD) to …

Mass market digital manufacturing devices are severely limited in accuracy and material,
resulting in a significant gap between the appearance of the virtual and the real shape. In …

In this thesis we extend signal processing techniques originally formulated in the context of
image processing to techniques that can be applied to signals on arbitrary triangles meshes …

Gradient-Domain Processing within a Texture Atlas Page 1 Gradient-Domain Processing
within a Texture Atlas FABIÁN PRADA and MISHA KAZHDAN, Johns Hopkins University, USA …