---
_id: '2103'
abstract:
- lang: eng
text: Although facial hair plays an important role in individual expression, facial-hair
reconstruction is not addressed by current facecapture systems. Our research addresses
this limitation with an algorithm that treats hair and skin surface capture together
in a coupled fashion so that a high-quality representation of hair fibers as well
as the underlying skin surface can be reconstructed. We propose a passive, camera-based
system that is robust against arbitrary motion since all data is acquired within
the time period of a single exposure. Our reconstruction algorithm detects and
traces hairs in the captured images and reconstructs them in 3D using a multiview
stereo approach. Our coupled skin-reconstruction algorithm uses information about
the detected hairs to deliver a skin surface that lies underneath all hairs irrespective
of occlusions. In dense regions like eyebrows, we employ a hair-synthesis method
to create hair fibers that plausibly match the image data. We demonstrate our
scanning system on a number of individuals and show that it can successfully reconstruct
a variety of facial-hair styles together with the underlying skin surface.
author:
- first_name: Thabo
full_name: Beeler, Thabo
last_name: Beeler
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Gioacchino
full_name: Noris, Gioacchino
last_name: Noris
- first_name: Paul
full_name: Beardsley, Paul A
last_name: Beardsley
- first_name: Steve
full_name: Marschner, Steve
last_name: Marschner
- first_name: Robert
full_name: Sumner, Robert W
last_name: Sumner
- first_name: Markus
full_name: Groß, Markus S
last_name: Groß
citation:
ama: Beeler T, Bickel B, Noris G, et al. Coupled 3D reconstruction of sparse facial
hair and skin. ACM Transactions on Graphics. 2012;31(4). doi:10.1145/2185520.2185613
apa: Beeler, T., Bickel, B., Noris, G., Beardsley, P., Marschner, S., Sumner, R.,
& Groß, M. (2012). Coupled 3D reconstruction of sparse facial hair and skin.
ACM Transactions on Graphics. ACM. https://doi.org/10.1145/2185520.2185613
chicago: Beeler, Thabo, Bernd Bickel, Gioacchino Noris, Paul Beardsley, Steve Marschner,
Robert Sumner, and Markus Groß. “Coupled 3D Reconstruction of Sparse Facial Hair
and Skin.” ACM Transactions on Graphics. ACM, 2012. https://doi.org/10.1145/2185520.2185613.
ieee: T. Beeler et al., “Coupled 3D reconstruction of sparse facial hair
and skin,” ACM Transactions on Graphics, vol. 31, no. 4. ACM, 2012.
ista: Beeler T, Bickel B, Noris G, Beardsley P, Marschner S, Sumner R, Groß M. 2012.
Coupled 3D reconstruction of sparse facial hair and skin. ACM Transactions on
Graphics. 31(4).
mla: Beeler, Thabo, et al. “Coupled 3D Reconstruction of Sparse Facial Hair and
Skin.” ACM Transactions on Graphics, vol. 31, no. 4, ACM, 2012, doi:10.1145/2185520.2185613.
short: T. Beeler, B. Bickel, G. Noris, P. Beardsley, S. Marschner, R. Sumner, M.
Groß, ACM Transactions on Graphics 31 (2012).
date_created: 2018-12-11T11:55:44Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:20Z
day: '01'
doi: 10.1145/2185520.2185613
extern: 1
intvolume: ' 31'
issue: '4'
month: '01'
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4932'
quality_controlled: 0
status: public
title: Coupled 3D reconstruction of sparse facial hair and skin
type: journal_article
volume: 31
year: '2012'
...
---
_id: '2101'
abstract:
- lang: eng
text: 'Articulated deformable characters are widespread in computer animation. Unfortunately,
we lack methods for their automatic fabrication using modern additive manufacturing
(AM) technologies. We propose a method that takes a skinned mesh as input, then
estimates a fabricatable single-material model that approximates the 3D kinematics
of the corresponding virtual articulated character in a piecewise linear manner.
We first extract a set of potential joint locations. From this set, together with
optional, user-specified range constraints, we then estimate mechanical friction
joints that satisfy inter-joint non-penetration and other fabrication constraints.
To avoid brittle joint designs, we place joint centers on an approximate medial
axis representation of the input geometry, and maximize each joint''s minimal
cross-sectional area. We provide several demonstrations, manufactured as single,
assembled pieces using 3D printers. '
acknowledgement: This work was partially supported by NSF grant IIS-1116619. Doug
James acknowledges support from Pixar and a fellowship from the John Simon Guggenheim
Memorial Foundation
author:
- first_name: Moritz
full_name: Bac̈her, Moritz
last_name: Bac̈Her
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Doug
full_name: James, Doug L
last_name: James
- first_name: Hanspeter
full_name: Pfister, Hanspeter
last_name: Pfister
citation:
ama: Bac̈Her M, Bickel B, James D, Pfister H. Fabricating articulated characters
from skinned meshes. ACM Transactions on Graphics. 2012;31(4). doi:10.1145/2185520.2185543
apa: Bac̈Her, M., Bickel, B., James, D., & Pfister, H. (2012). Fabricating articulated
characters from skinned meshes. ACM Transactions on Graphics. ACM. https://doi.org/10.1145/2185520.2185543
chicago: Bac̈Her, Moritz, Bernd Bickel, Doug James, and Hanspeter Pfister. “Fabricating
Articulated Characters from Skinned Meshes.” ACM Transactions on Graphics.
ACM, 2012. https://doi.org/10.1145/2185520.2185543.
ieee: M. Bac̈Her, B. Bickel, D. James, and H. Pfister, “Fabricating articulated
characters from skinned meshes,” ACM Transactions on Graphics, vol. 31,
no. 4. ACM, 2012.
ista: Bac̈Her M, Bickel B, James D, Pfister H. 2012. Fabricating articulated characters
from skinned meshes. ACM Transactions on Graphics. 31(4).
mla: Bac̈Her, Moritz, et al. “Fabricating Articulated Characters from Skinned Meshes.”
ACM Transactions on Graphics, vol. 31, no. 4, ACM, 2012, doi:10.1145/2185520.2185543.
short: M. Bac̈Her, B. Bickel, D. James, H. Pfister, ACM Transactions on Graphics
31 (2012).
date_created: 2018-12-11T11:55:43Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:19Z
day: '01'
doi: 10.1145/2185520.2185543
extern: 1
intvolume: ' 31'
issue: '4'
month: '01'
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4933'
quality_controlled: 0
status: public
title: Fabricating articulated characters from skinned meshes
type: journal_article
volume: 31
year: '2012'
...
---
_id: '2102'
abstract:
- lang: eng
text: 'We propose a complete process for designing, simulating, and fabricating
synthetic skin for an animatronics character that mimics the face of a given subject
and its expressions. The process starts with measuring the elastic properties
of a material used to manufacture synthetic soft tissue. Given these measurements
we use physicsbased simulation to predict the behavior of a face when it is driven
by the underlying robotic actuation. Next, we capture 3D facial expressions for
a given target subject. As the key component of our process, we present a novel
optimization scheme that determines the shape of the synthetic skin as well as
the actuation parameters that provide the best match to the target expressions.
We demonstrate this computational skin design by physically cloning a real human
face onto an animatronics figure. '
acknowledgement: This work was supported in part by the NCCR Co-Me of the Swiss NSF
author:
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Peter
full_name: Kaufmann, Peter
last_name: Kaufmann
- first_name: Mélina
full_name: Skouras, Mélina
last_name: Skouras
- first_name: Bernhard
full_name: Thomaszewski, Bernhard
last_name: Thomaszewski
- first_name: Derek
full_name: Bradley, Derek J
last_name: Bradley
- first_name: Thabo
full_name: Beeler, Thabo
last_name: Beeler
- first_name: Philip
full_name: Jackson, Philip V
last_name: Jackson
- first_name: Steve
full_name: Marschner, Steve
last_name: Marschner
- first_name: Wojciech
full_name: Matusik, Wojciech
last_name: Matusik
- first_name: Markus
full_name: Groß, Markus S
last_name: Groß
citation:
ama: Bickel B, Kaufmann P, Skouras M, et al. Physical face cloning. ACM Transactions
on Graphics. 2012;31(4). doi:10.1145/2185520.2185614
apa: Bickel, B., Kaufmann, P., Skouras, M., Thomaszewski, B., Bradley, D., Beeler,
T., … Groß, M. (2012). Physical face cloning. ACM Transactions on Graphics.
ACM. https://doi.org/10.1145/2185520.2185614
chicago: Bickel, Bernd, Peter Kaufmann, Mélina Skouras, Bernhard Thomaszewski, Derek
Bradley, Thabo Beeler, Philip Jackson, Steve Marschner, Wojciech Matusik, and
Markus Groß. “Physical Face Cloning.” ACM Transactions on Graphics. ACM,
2012. https://doi.org/10.1145/2185520.2185614.
ieee: B. Bickel et al., “Physical face cloning,” ACM Transactions on Graphics,
vol. 31, no. 4. ACM, 2012.
ista: Bickel B, Kaufmann P, Skouras M, Thomaszewski B, Bradley D, Beeler T, Jackson
P, Marschner S, Matusik W, Groß M. 2012. Physical face cloning. ACM Transactions
on Graphics. 31(4).
mla: Bickel, Bernd, et al. “Physical Face Cloning.” ACM Transactions on Graphics,
vol. 31, no. 4, ACM, 2012, doi:10.1145/2185520.2185614.
short: B. Bickel, P. Kaufmann, M. Skouras, B. Thomaszewski, D. Bradley, T. Beeler,
P. Jackson, S. Marschner, W. Matusik, M. Groß, ACM Transactions on Graphics 31
(2012).
date_created: 2018-12-11T11:55:43Z
date_published: 2012-07-04T00:00:00Z
date_updated: 2021-01-12T06:55:19Z
day: '04'
doi: 10.1145/2185520.2185614
extern: 1
intvolume: ' 31'
issue: '4'
month: '07'
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4931'
quality_controlled: 0
status: public
title: Physical face cloning
type: journal_article
volume: 31
year: '2012'
...
---
_id: '2106'
abstract:
- lang: eng
text: Progress in cloth simulation for computer animation and apparel design has
led to a multitude of deformation models, each with its own way of relating geometry,
deformation, and forces. As simulators improve, differences between these models
become more important, but it is difficult to choose a model and a set of parameters
to match a given real material simply by looking at simulation results. This paper
provides measurement and fitting methods that allow nonlinear models to be fit
to the observed deformation of a particular cloth sample. Unlike standard textile
testing, our system measures complex 3D deformations of a sheet of cloth, not
just one-dimensional force-displacement curves, so it works under a wider range
of deformation conditions. The fitted models are then evaluated by comparison
to measured deformations with motions very different from those used for fitting.
acknowledgement: This work was funded in part by the Spanish Ministry of Science and
Innovation, project TIN2009-07942, and by the European Research Council, project
ERC-2011-StG-280135 Animetrics.
author:
- first_name: Eder
full_name: Miguel, Eder
last_name: Miguel
- first_name: Derek
full_name: Bradley, Derek J
last_name: Bradley
- first_name: Bernhard
full_name: Thomaszewski, Bernhard
last_name: Thomaszewski
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Wojciech
full_name: Matusik, Wojciech
last_name: Matusik
- first_name: Miguel
full_name: Otaduy, Miguel A
last_name: Otaduy
- first_name: Steve
full_name: Marschner, Steve
last_name: Marschner
citation:
ama: 'Miguel E, Bradley D, Thomaszewski B, et al. Data-driven estimation of cloth
simulation models. In: Vol 31. Wiley-Blackwell; 2012:519-528. doi:10.1111/j.1467-8659.2012.03031.x'
apa: Miguel, E., Bradley, D., Thomaszewski, B., Bickel, B., Matusik, W., Otaduy,
M., & Marschner, S. (2012). Data-driven estimation of cloth simulation models
(Vol. 31, pp. 519–528). Presented at the Computer Graphics Forum, Wiley-Blackwell.
https://doi.org/10.1111/j.1467-8659.2012.03031.x
chicago: Miguel, Eder, Derek Bradley, Bernhard Thomaszewski, Bernd Bickel, Wojciech
Matusik, Miguel Otaduy, and Steve Marschner. “Data-Driven Estimation of Cloth
Simulation Models,” 31:519–28. Wiley-Blackwell, 2012. https://doi.org/10.1111/j.1467-8659.2012.03031.x.
ieee: E. Miguel et al., “Data-driven estimation of cloth simulation models,”
presented at the Computer Graphics Forum, 2012, vol. 31, no. 2, pp. 519–528.
ista: Miguel E, Bradley D, Thomaszewski B, Bickel B, Matusik W, Otaduy M, Marschner
S. 2012. Data-driven estimation of cloth simulation models. Computer Graphics
Forum vol. 31, 519–528.
mla: Miguel, Eder, et al. Data-Driven Estimation of Cloth Simulation Models.
Vol. 31, no. 2, Wiley-Blackwell, 2012, pp. 519–28, doi:10.1111/j.1467-8659.2012.03031.x.
short: E. Miguel, D. Bradley, B. Thomaszewski, B. Bickel, W. Matusik, M. Otaduy,
S. Marschner, in:, Wiley-Blackwell, 2012, pp. 519–528.
conference:
name: Computer Graphics Forum
date_created: 2018-12-11T11:55:45Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:55:21Z
day: '01'
doi: 10.1111/j.1467-8659.2012.03031.x
extern: 1
intvolume: ' 31'
issue: '2'
month: '05'
page: 519 - 528
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4929'
quality_controlled: 0
status: public
title: Data-driven estimation of cloth simulation models
type: conference
volume: 31
year: '2012'
...
---
_id: '2104'
abstract:
- lang: eng
text: 'In recent years, various methods have been introduced to exploit pre-recorded
data to improve the performance and/or realism of dynamic deformations, but their
differences and similarities have not been adequately analyzed or discussed. So
far, the proposed methods have been explored mainly in the research context. They
have not been adopted by the computer graphics industry. This course bridges the
gap between research labs and industry to present a unifying theory and understanding
of data-driven methods for dynamic deformations that may inspire development of
novel solutions. It focuses on application of data-driven methods to three areas
of computer animation: dynamic deformation of faces, soft volumetric tissue, and
cloth. And it describes how to approach these challenges in a data-driven manner,
classifies the various methods, and demonstrates how data-driven methods can work
in other settings. '
author:
- first_name: Miguel
full_name: Otaduy, Miguel A
last_name: Otaduy
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Derek
full_name: Bradley, Derek J
last_name: Bradley
- first_name: Huamin
full_name: Wang, Huamin
last_name: Wang
citation:
ama: 'Otaduy M, Bickel B, Bradley D, Wang H. Data-driven simulation methods in computer
graphics: Cloth, tissue and faces. In: ACM; 2012. doi:10.1145/2343483.2343495'
apa: 'Otaduy, M., Bickel, B., Bradley, D., & Wang, H. (2012). Data-driven simulation
methods in computer graphics: Cloth, tissue and faces. Presented at the SIGGRAPH:
Special Interest Group on Computer Graphics and Interactive Techniques, ACM. https://doi.org/10.1145/2343483.2343495'
chicago: 'Otaduy, Miguel, Bernd Bickel, Derek Bradley, and Huamin Wang. “Data-Driven
Simulation Methods in Computer Graphics: Cloth, Tissue and Faces.” ACM, 2012.
https://doi.org/10.1145/2343483.2343495.'
ieee: 'M. Otaduy, B. Bickel, D. Bradley, and H. Wang, “Data-driven simulation methods
in computer graphics: Cloth, tissue and faces,” presented at the SIGGRAPH: Special
Interest Group on Computer Graphics and Interactive Techniques, 2012.'
ista: 'Otaduy M, Bickel B, Bradley D, Wang H. 2012. Data-driven simulation methods
in computer graphics: Cloth, tissue and faces. SIGGRAPH: Special Interest Group
on Computer Graphics and Interactive Techniques.'
mla: 'Otaduy, Miguel, et al. Data-Driven Simulation Methods in Computer Graphics:
Cloth, Tissue and Faces. ACM, 2012, doi:10.1145/2343483.2343495.'
short: M. Otaduy, B. Bickel, D. Bradley, H. Wang, in:, ACM, 2012.
conference:
name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
date_created: 2018-12-11T11:55:44Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:20Z
day: '01'
doi: 10.1145/2343483.2343495
extern: 1
month: '01'
publication_status: published
publisher: ACM
publist_id: '4930'
quality_controlled: 0
status: public
title: 'Data-driven simulation methods in computer graphics: Cloth, tissue and faces'
type: conference
year: '2012'
...
---
_id: '2105'
acknowledgement: Mélina Skouras was partially supported by the NCCR Co-Me of the Swiss
National Science Foundation.
author:
- first_name: Mélina
full_name: Skouras, Mélina
last_name: Skouras
- first_name: Bernhard
full_name: Thomaszewski, Bernhard
last_name: Thomaszewski
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Markus
full_name: Groß, Markus S
last_name: Groß
citation:
ama: 'Skouras M, Thomaszewski B, Bickel B, Groß M. Computational design of rubber
balloons. In: Vol 31. Wiley-Blackwell; 2012:835-844. doi:10.1111/j.1467-8659.2012.03064.x'
apa: 'Skouras, M., Thomaszewski, B., Bickel, B., & Groß, M. (2012). Computational
design of rubber balloons (Vol. 31, pp. 835–844). Presented at the EUROGRAPHICS:
European Association for Computer Graphics, Wiley-Blackwell. https://doi.org/10.1111/j.1467-8659.2012.03064.x'
chicago: Skouras, Mélina, Bernhard Thomaszewski, Bernd Bickel, and Markus Groß.
“Computational Design of Rubber Balloons,” 31:835–44. Wiley-Blackwell, 2012. https://doi.org/10.1111/j.1467-8659.2012.03064.x.
ieee: 'M. Skouras, B. Thomaszewski, B. Bickel, and M. Groß, “Computational design
of rubber balloons,” presented at the EUROGRAPHICS: European Association for Computer
Graphics, 2012, vol. 31, no. 2, pp. 835–844.'
ista: 'Skouras M, Thomaszewski B, Bickel B, Groß M. 2012. Computational design of
rubber balloons. EUROGRAPHICS: European Association for Computer Graphics vol.
31, 835–844.'
mla: Skouras, Mélina, et al. Computational Design of Rubber Balloons. Vol.
31, no. 2, Wiley-Blackwell, 2012, pp. 835–44, doi:10.1111/j.1467-8659.2012.03064.x.
short: M. Skouras, B. Thomaszewski, B. Bickel, M. Groß, in:, Wiley-Blackwell, 2012,
pp. 835–844.
conference:
name: 'EUROGRAPHICS: European Association for Computer Graphics'
date_created: 2018-12-11T11:55:45Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:55:20Z
day: '01'
doi: 10.1111/j.1467-8659.2012.03064.x
extern: 1
intvolume: ' 31'
issue: '2'
month: '05'
page: 835 - 844
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4928'
quality_controlled: 0
status: public
title: Computational design of rubber balloons
type: conference
volume: 31
year: '2012'
...
---
_id: '2125'
abstract:
- lang: eng
text: We consider a class of stochastic PDEs of Burgers type in spatial dimension
1, driven by space–time white noise. Even though it is well known that these equations
are well posed, it turns out that if one performs a spatial discretization of
the nonlinearity in the “wrong” way, then the sequence of approximate equations
does converge to a limit, but this limit exhibits an additional correction term.
This correction term is proportional to the local quadratic cross-variation (in
space) of the gradient of the conserved quantity with the solution itself. This
can be understood as a consequence of the fact that for any fixed time, the law
of the solution is locally equivalent to Wiener measure, where space plays the
role of time. In this sense, the correction term is similar to the usual Itô–Stratonovich
correction term that arises when one considers different temporal discretizations
of stochastic ODEs.
acknowledgement: Supported by Rubicon Grant 680-50-0901 of the Netherlands Organisation
for Scientific Research (NWO). Supported by the EPSRC Grants EP/E002269/1 and EP/D071593/1,
a Wolfson Research Merit Award of the Royal Society and a Philip Leverhulme prize
of the Lev
author:
- first_name: Martin
full_name: Hairer, Martin M
last_name: Hairer
- first_name: Jan
full_name: Jan Maas
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
citation:
ama: Hairer M, Maas J. A spatial version of the Itô-Stratonovich correction. Annals
of Probability. 2012;40(4):1675-1714. doi:10.1214/11-AOP662
apa: Hairer, M., & Maas, J. (2012). A spatial version of the Itô-Stratonovich
correction. Annals of Probability. Institute of Mathematical Statistics.
https://doi.org/10.1214/11-AOP662
chicago: Hairer, Martin, and Jan Maas. “A Spatial Version of the Itô-Stratonovich
Correction.” Annals of Probability. Institute of Mathematical Statistics,
2012. https://doi.org/10.1214/11-AOP662.
ieee: M. Hairer and J. Maas, “A spatial version of the Itô-Stratonovich correction,”
Annals of Probability, vol. 40, no. 4. Institute of Mathematical Statistics,
pp. 1675–1714, 2012.
ista: Hairer M, Maas J. 2012. A spatial version of the Itô-Stratonovich correction.
Annals of Probability. 40(4), 1675–1714.
mla: Hairer, Martin, and Jan Maas. “A Spatial Version of the Itô-Stratonovich Correction.”
Annals of Probability, vol. 40, no. 4, Institute of Mathematical Statistics,
2012, pp. 1675–714, doi:10.1214/11-AOP662.
short: M. Hairer, J. Maas, Annals of Probability 40 (2012) 1675–1714.
date_created: 2018-12-11T11:55:51Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T06:55:27Z
day: '01'
doi: 10.1214/11-AOP662
extern: 1
intvolume: ' 40'
issue: '4'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1011.0966
month: '07'
oa: 1
page: 1675 - 1714
publication: Annals of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '4908'
quality_controlled: 0
status: public
title: A spatial version of the Itô-Stratonovich correction
type: journal_article
volume: 40
year: '2012'
...
---
_id: '2127'
abstract:
- lang: eng
text: We study a new notion of Ricci curvature that applies to Markov chains on
discrete spaces. This notion relies on geodesic convexity of the entropy and is
analogous to the one introduced by Lott, Sturm, and Villani for geodesic measure
spaces. In order to apply to the discrete setting, the role of the Wasserstein
metric is taken over by a different metric, having the property that continuous
time Markov chains are gradient flows of the entropy. Using this notion of Ricci
curvature we prove discrete analogues of fundamental results by Bakry–Émery and
Otto–Villani. Further, we show that Ricci curvature bounds are preserved under
tensorisation. As a special case we obtain the sharp Ricci curvature lower bound
for the discrete hypercube.
acknowledgement: Jan Maas is supported by Rubicon subsidy 680-50-0901 of the Netherlands
Organisation for Scientific Research (NWO).
author:
- first_name: Matthias
full_name: Erbar, Matthias
last_name: Erbar
- first_name: Jan
full_name: Jan Maas
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
citation:
ama: Erbar M, Maas J. Ricci curvature of finite Markov chains via convexity of the
entropy. Archive for Rational Mechanics and Analysis. 2012;206(3):997-1038.
doi:10.1007/s00205-012-0554-z
apa: Erbar, M., & Maas, J. (2012). Ricci curvature of finite Markov chains via
convexity of the entropy. Archive for Rational Mechanics and Analysis.
Springer. https://doi.org/10.1007/s00205-012-0554-z
chicago: Erbar, Matthias, and Jan Maas. “Ricci Curvature of Finite Markov Chains
via Convexity of the Entropy.” Archive for Rational Mechanics and Analysis.
Springer, 2012. https://doi.org/10.1007/s00205-012-0554-z.
ieee: M. Erbar and J. Maas, “Ricci curvature of finite Markov chains via convexity
of the entropy,” Archive for Rational Mechanics and Analysis, vol. 206,
no. 3. Springer, pp. 997–1038, 2012.
ista: Erbar M, Maas J. 2012. Ricci curvature of finite Markov chains via convexity
of the entropy. Archive for Rational Mechanics and Analysis. 206(3), 997–1038.
mla: Erbar, Matthias, and Jan Maas. “Ricci Curvature of Finite Markov Chains via
Convexity of the Entropy.” Archive for Rational Mechanics and Analysis,
vol. 206, no. 3, Springer, 2012, pp. 997–1038, doi:10.1007/s00205-012-0554-z.
short: M. Erbar, J. Maas, Archive for Rational Mechanics and Analysis 206 (2012)
997–1038.
date_created: 2018-12-11T11:55:52Z
date_published: 2012-12-01T00:00:00Z
date_updated: 2021-01-12T06:55:28Z
day: '01'
doi: 10.1007/s00205-012-0554-z
extern: 1
intvolume: ' 206'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1111.2687
month: '12'
oa: 1
page: 997 - 1038
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '4906'
quality_controlled: 0
status: public
title: Ricci curvature of finite Markov chains via convexity of the entropy
type: journal_article
volume: 206
year: '2012'
...
---
_id: '2128'
abstract:
- lang: eng
text: We introduce a technique for handling Whitney decompositions in Gaussian harmonic
analysis and apply it to the study of Gaussian analogues of the classical tent
spaces T 1,q of Coifman–Meyer–Stein.
acknowledgement: J. Maas was supported by Rubicon subsidy 680-50-0901 of the Netherlands
Organisation for Scientific Research (NWO). J. van Neerven was supported by VICI
subsidy 639.033.604 of the Netherlands Organisation for Scientific Research (NWO).
author:
- first_name: Jan
full_name: Jan Maas
id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
last_name: Maas
orcid: 0000-0002-0845-1338
- first_name: Jan
full_name: van Neerven, Jan M
last_name: Van Neerven
- first_name: Pierre
full_name: Portal, Pierre
last_name: Portal
citation:
ama: Maas J, Van Neerven J, Portal P. Whitney coverings and the tent spaces T 1,q
(γ) for the Gaussian measure. Arkiv för Matematik. 2012;50(2):379-395.
doi:10.1007/s11512-010-0143-z
apa: Maas, J., Van Neerven, J., & Portal, P. (2012). Whitney coverings and the
tent spaces T 1,q (γ) for the Gaussian measure. Arkiv För Matematik. Springer.
https://doi.org/10.1007/s11512-010-0143-z
chicago: Maas, Jan, Jan Van Neerven, and Pierre Portal. “Whitney Coverings and the
Tent Spaces T 1,q (γ) for the Gaussian Measure.” Arkiv För Matematik. Springer,
2012. https://doi.org/10.1007/s11512-010-0143-z.
ieee: J. Maas, J. Van Neerven, and P. Portal, “Whitney coverings and the tent spaces
T 1,q (γ) for the Gaussian measure,” Arkiv för Matematik, vol. 50, no.
2. Springer, pp. 379–395, 2012.
ista: Maas J, Van Neerven J, Portal P. 2012. Whitney coverings and the tent spaces
T 1,q (γ) for the Gaussian measure. Arkiv för Matematik. 50(2), 379–395.
mla: Maas, Jan, et al. “Whitney Coverings and the Tent Spaces T 1,q (γ) for the
Gaussian Measure.” Arkiv För Matematik, vol. 50, no. 2, Springer, 2012,
pp. 379–95, doi:10.1007/s11512-010-0143-z.
short: J. Maas, J. Van Neerven, P. Portal, Arkiv För Matematik 50 (2012) 379–395.
date_created: 2018-12-11T11:55:52Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:55:28Z
day: '01'
doi: 10.1007/s11512-010-0143-z
extern: 1
intvolume: ' 50'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1002.4911
month: '10'
oa: 1
page: 379 - 395
publication: Arkiv för Matematik
publication_status: published
publisher: Springer
publist_id: '4907'
quality_controlled: 0
status: public
title: Whitney coverings and the tent spaces T 1,q (γ) for the Gaussian measure
type: journal_article
volume: 50
year: '2012'
...
---
_id: '2203'
abstract:
- lang: eng
text: We show that the electric dipole-dipole interaction between a pair of polar
molecules undergoes an all-out transformation when superimposed by a far-off-resonant
optical field. The combined interaction potential becomes tunable by variation
of wavelength, polarisation and intensity of the optical field and its dependence
on the intermolecular separation exhibits a crossover from an inverse-power to
an oscillating behaviour. The ability thereby offered to control molecular interactions
opens up avenues toward the creation and manipulation of novel phases of ultracold
polar gases among whose characteristics is a long-range entanglement of the dipoles'
mutual orientation. We devised an accurate analytic model of such optical-field-dressed
dipole-dipole interaction potentials, which enables a straightforward access to
the optical-field parameters required for the design of intermolecular interactions
in the laboratory.
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: 'Lemeshko M, Friedrich B. Interaction between polar molecules subject to a
far-off-resonant optical field: Entangled dipoles up- or down-holding each other.
Molecular Physics. 2012;110(15-16):1873-1881. doi:10.1080/00268976.2012.689868'
apa: 'Lemeshko, M., & Friedrich, B. (2012). Interaction between polar molecules
subject to a far-off-resonant optical field: Entangled dipoles up- or down-holding
each other. Molecular Physics. Taylor & Francis. https://doi.org/10.1080/00268976.2012.689868'
chicago: 'Lemeshko, Mikhail, and Břetislav Friedrich. “Interaction between Polar
Molecules Subject to a Far-off-Resonant Optical Field: Entangled Dipoles up- or
down-Holding Each Other.” Molecular Physics. Taylor & Francis, 2012.
https://doi.org/10.1080/00268976.2012.689868.'
ieee: 'M. Lemeshko and B. Friedrich, “Interaction between polar molecules subject
to a far-off-resonant optical field: Entangled dipoles up- or down-holding each
other,” Molecular Physics, vol. 110, no. 15–16. Taylor & Francis, pp.
1873–1881, 2012.'
ista: 'Lemeshko M, Friedrich B. 2012. Interaction between polar molecules subject
to a far-off-resonant optical field: Entangled dipoles up- or down-holding each
other. Molecular Physics. 110(15–16), 1873–1881.'
mla: 'Lemeshko, Mikhail, and Břetislav Friedrich. “Interaction between Polar Molecules
Subject to a Far-off-Resonant Optical Field: Entangled Dipoles up- or down-Holding
Each Other.” Molecular Physics, vol. 110, no. 15–16, Taylor & Francis,
2012, pp. 1873–81, doi:10.1080/00268976.2012.689868.'
short: M. Lemeshko, B. Friedrich, Molecular Physics 110 (2012) 1873–1881.
date_created: 2018-12-11T11:56:18Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:58Z
day: '01'
doi: 10.1080/00268976.2012.689868
extern: 1
intvolume: ' 110'
issue: 15-16
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1108.4583
month: '01'
oa: 1
page: 1873 - 1881
publication: Molecular Physics
publication_status: published
publisher: Taylor & Francis
publist_id: '4770'
quality_controlled: 0
status: public
title: 'Interaction between polar molecules subject to a far-off-resonant optical
field: Entangled dipoles up- or down-holding each other'
type: journal_article
volume: 110
year: '2012'
...