On linear variational surface deformation methods

M Botsch, O Sorkine - IEEE transactions on visualization and …, 2007 - ieeexplore.ieee.org
This survey reviews the recent advances in linear variational mesh deformation techniques.
These methods were developed for editing detailed high-resolution meshes like those …

[PDF][PDF] As-rigid-as-possible surface modeling

O Sorkine, M Alexa - Symposium on Geometry processing, 2007 - Citeseer
Modeling tasks, such as surface deformation and editing, can be analyzed by observing the
local behavior of the surface. We argue that defining a modeling operation by asking for …

Directional field synthesis, design, and processing

A Vaxman, M Campen, O Diamanti… - Computer graphics …, 2016 - Wiley Online Library
Direction fields and vector fields play an increasingly important role in computer graphics
and geometry processing. The synthesis of directional fields on surfaces, or other spatial …

Spectral geometry processing with manifold harmonics

B Vallet, B Lévy - Computer Graphics Forum, 2008 - Wiley Online Library
We present an explicit method to compute a generalization of the Fourier Transform on a
mesh. It is well known that the eigenfunctions of the Laplace Beltrami operator (Manifold …

Fibermesh: designing freeform surfaces with 3d curves

A Nealen, T Igarashi, O Sorkine, M Alexa - ACM SIGGRAPH 2007 papers, 2007 - dl.acm.org
This paper presents a system for designing freeform surfaces with a collection of 3D curves.
The user first creates a rough 3D model by using a sketching interface. Unlike previous …

Discrete Laplace–Beltrami operators for shape analysis and segmentation

M Reuter, S Biasotti, D Giorgi, G Patanè… - Computers & …, 2009 - Elsevier
Shape analysis plays a pivotal role in a large number of applications, ranging from
traditional geometry processing to more recent 3D content management. In this scenario …

[PDF][PDF] Discrete Laplace operators: no free lunch

M Wardetzky, S Mathur, F Kälberer… - … on Geometry processing, 2007 - brickisland.net
Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to
simulation. For robustness and efficiency, many applications require discrete operators that …

A 3d morphable model of craniofacial shape and texture variation

H Dai, N Pears, WAP Smith… - Proceedings of the IEEE …, 2017 - openaccess.thecvf.com
We present a fully automatic pipeline to train 3D Morphable Models (3DMMs), with
contributions in pose normalisation, dense correspondence using both shape and texture …

Coupled quasi‐harmonic bases

A Kovnatsky, MM Bronstein… - Computer Graphics …, 2013 - Wiley Online Library
The use of Laplacian eigenbases has been shown to be fruitful in many computer graphics
applications. Today, state‐of‐the‐art approaches to shape analysis, synthesis, and …

Spectral mesh processing

H Zhang, O Van Kaick, R Dyer - Computer graphics forum, 2010 - Wiley Online Library
Spectral methods for mesh processing and analysis rely on the eigenvalues, eigenvectors,
or eigenspace projections derived from appropriately defined mesh operators to carry out …