Eigen deformation of 3d models

TK Dey, P Ranjan, Y Wang - The Visual Computer, 2012 - Springer
… We use low frequency eigenvectors in order to get a smooth fit for a target deformation
since our goal is to guarantee a smoothly varying deformation rather than isometry. Hence, we …

Modelling individual geometric variation based on dominant eigenmodes of organ deformation: implementation and evaluation

M Söhn, M Birkner, D Yan, M Alber - Physics in Medicine & …, 2005 - iopscience.iop.org
… a method of modelling inter-fractional organ deformation and … model of organ motion and
deformation. Eigenmodes are … largest eigenvalues, are the ‘principal’ deformation modes, …

Eigenspace compression: dynamic 3D mesh compression by restoring fine geometry to deformed coarse models

M Hajizadeh, H Ebrahimnezhad - Multimedia Tools and Applications, 2018 - Springer
… Our goal is to represent the animated 3D model as the deformation of low frequencies (…
from a 3D animated model by truncating the number of eigenvectors in Eigen framework of the …

FEM simulation of 3D deformable solids: a practitioner's guide to theory, discretization and model reduction

E Sifakis, J Barbic - Acm siggraph 2012 courses, 2012 - dl.acm.org
… Familiarity with determinants, eigenvalue problems and the Singular Value Decomposition
… that any two deformations that satisfy equation (3.7) will have deformation gradients related …

A parametric deformable model to fit unstructured 3D data

E Bardinet, LD Cohen, N Ayache - Computer vision and image …, 1998 - Elsevier
model based on a superquadric fit followed by a freeform deformation (FFD) to fit unstructured
3D … volumetric deformation called free-form deformation (FFD). It is a tool devoted to the …

Morphable 3D models from video

W Brand - Proceedings of the 2001 IEEE Computer Society …, 2001 - ieeexplore.ieee.org
3D morphable models of nonrigid objects has attracted intense interest in computer vision
since the advent of deformable and eigen-models … video” in which the video plane is deformed

Principal deformations modes of articulated models for the analysis of 3D spine deformities

J Boisvert, F Cheriet, X Pennec, H Labelle… - Electronic Letters on …, 2008 - inria.hal.science
… Therefore, the principal deformations modes associated with small eigenvalues are likely
to be more closely related to acquisition noise than to anatomical variations between …

Local deformation models for monocular 3D shape recovery

M Salzmann, R Urtasun, P Fua - 2008 IEEE conference on …, 2008 - ieeexplore.ieee.org
… surface as a linear combination of its eigenvectors, whose weights became the unknown of
… modes weights with their corresponding inverse squared eigenvalues. Using a subset of the …

Representing a partially observed non-rigid 3D human using eigen-texture and eigen-deformation

R Kimura, A Sayo, FL Dayrit… - 2018 24th …, 2018 - ieeexplore.ieee.org
… between a statistic model and a fully-fitted 3D mesh into a low … the parameters for eigen-texturing
and eigen-deformation for … and synthesis based on a 3d model,” IEEE Trans. Pattern …

Surface registration with eigenvalues and eigenvectors

H Hamidian, Z Zhong, F Fotouhi… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
… In these experiments, we use a Stanford bunny model and make a non-isometric deformation
on the surface and then generate uniform triangle meshes on both surfaces. We employ …