---
_id: '3270'
abstract:
- lang: eng
text: 'The persistence diagram of a filtered simplicial com- plex is usually computed
by reducing the boundary matrix of the complex. We introduce a simple op- timization
technique: by processing the simplices of the complex in decreasing dimension,
we can “kill” columns (i.e., set them to zero) without reducing them. This technique
completely avoids reduction on roughly half of the columns. We demonstrate that
this idea significantly improves the running time of the reduction algorithm in
practice. We also give an output-sensitive complexity analysis for the new al-
gorithm which yields to sub-cubic asymptotic bounds under certain assumptions.'
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
citation:
ama: 'Chen C, Kerber M. Persistent homology computation with a twist. In: TU Dortmund;
2011:197-200.'
apa: 'Chen, C., & Kerber, M. (2011). Persistent homology computation with a
twist (pp. 197–200). Presented at the EuroCG: European Workshop on Computational
Geometry, Morschach, Switzerland: TU Dortmund.'
chicago: Chen, Chao, and Michael Kerber. “Persistent Homology Computation with a
Twist,” 197–200. TU Dortmund, 2011.
ieee: 'C. Chen and M. Kerber, “Persistent homology computation with a twist,” presented
at the EuroCG: European Workshop on Computational Geometry, Morschach, Switzerland,
2011, pp. 197–200.'
ista: 'Chen C, Kerber M. 2011. Persistent homology computation with a twist. EuroCG:
European Workshop on Computational Geometry, 197–200.'
mla: Chen, Chao, and Michael Kerber. Persistent Homology Computation with a Twist.
TU Dortmund, 2011, pp. 197–200.
short: C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
conference:
end_date: 2011-03-30
location: Morschach, Switzerland
name: 'EuroCG: European Workshop on Computational Geometry'
start_date: 2011-03-28
date_created: 2018-12-11T12:02:22Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:17Z
day: '01'
department:
- _id: HeEd
language:
- iso: eng
month: '01'
oa_version: None
page: 197 - 200
publication_status: published
publisher: TU Dortmund
publist_id: '3376'
quality_controlled: '1'
status: public
title: Persistent homology computation with a twist
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3298'
abstract:
- lang: eng
text: We present a new algorithm for enforcing incompressibility for Smoothed Particle
Hydrodynamics (SPH) by preserving uniform density across the domain. We propose
a hybrid method that uses a Poisson solve on a coarse grid to enforce a divergence
free velocity field, followed by a local density correction of the particles. This
avoids typical grid artifacts and maintains the Lagrangian nature of SPH by directly
transferring pressures onto particles. Our method can be easily integrated with
existing SPH techniques such as the incompressible PCISPH method as well as weakly
compressible SPH by adding an additional force term. We show that this hybrid
method accelerates convergence towards uniform density and permits a significantly
larger time step compared to earlier approaches while producing similar results.
We demonstrate our approach in a variety of scenarios with significant pressure
gradients such as splashing liquids.
author:
- first_name: Karthik
full_name: Raveendran, Karthik
last_name: Raveendran
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
- first_name: Greg
full_name: Turk, Greg
last_name: Turk
citation:
ama: 'Raveendran K, Wojtan C, Turk G. Hybrid smoothed particle hydrodynamics. In:
Spencer S, ed. ACM; 2011:33-42. doi:10.1145/2019406.2019411'
apa: 'Raveendran, K., Wojtan, C., & Turk, G. (2011). Hybrid smoothed particle
hydrodynamics. In S. Spencer (Ed.) (pp. 33–42). Presented at the SCA: ACM SIGGRAPH/Eurographics
Symposium on Computer animation, Vancouver, Canada: ACM. https://doi.org/10.1145/2019406.2019411'
chicago: Raveendran, Karthik, Chris Wojtan, and Greg Turk. “Hybrid Smoothed Particle
Hydrodynamics.” edited by Stephen Spencer, 33–42. ACM, 2011. https://doi.org/10.1145/2019406.2019411.
ieee: 'K. Raveendran, C. Wojtan, and G. Turk, “Hybrid smoothed particle hydrodynamics,”
presented at the SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation,
Vancouver, Canada, 2011, pp. 33–42.'
ista: 'Raveendran K, Wojtan C, Turk G. 2011. Hybrid smoothed particle hydrodynamics.
SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation, 33–42.'
mla: Raveendran, Karthik, et al. Hybrid Smoothed Particle Hydrodynamics.
Edited by Stephen Spencer, ACM, 2011, pp. 33–42, doi:10.1145/2019406.2019411.
short: K. Raveendran, C. Wojtan, G. Turk, in:, S. Spencer (Ed.), ACM, 2011, pp.
33–42.
conference:
end_date: 2011-08-07
location: Vancouver, Canada
name: 'SCA: ACM SIGGRAPH/Eurographics Symposium on Computer animation'
start_date: 2011-08-05
date_created: 2018-12-11T12:02:32Z
date_published: 2011-08-05T00:00:00Z
date_updated: 2023-02-23T11:21:05Z
day: '05'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2019406.2019411
editor:
- first_name: Stephen
full_name: Spencer, Stephen
last_name: Spencer
file:
- access_level: open_access
checksum: 6579d27709946e0eefbfa60a456b4913
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:44Z
date_updated: 2020-07-14T12:46:06Z
file_id: '4769'
file_name: IST-2016-598-v1+1_HybridSPH_Preprint.pdf
file_size: 2536216
relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 33 - 42
publication_status: published
publisher: ACM
publist_id: '3343'
pubrep_id: '598'
quality_controlled: '1'
scopus_import: 1
status: public
title: Hybrid smoothed particle hydrodynamics
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3297'
abstract:
- lang: eng
text: "Animating detailed liquid surfaces has always been a challenge for computer
graphics researchers and visual effects artists. Over the past few years, researchers
in this field have focused on mesh-based surface tracking to synthesize extremely
detailed liquid surfaces as efficiently as possible. This course provides a solid
understanding of the steps required to create a fluid simulator with a mesh-based
liquid surface.\r\n\r\nThe course begins with an overview of several existing
liquid-surface-tracking techniques and the pros and cons of each method. Then
it explains how to embed a triangle mesh into a finite-difference-based fluid
simulator and describes several methods for allowing the liquid surface to merge
together or break apart. The final section showcases the benefits and further
applications of a mesh-based liquid surface, highlighting state-of-the-art methods
for tracking colors and textures, maintaining liquid volume, preserving small
surface features, and simulating realistic surface-tension waves."
article_number: '8'
author:
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
- first_name: Matthias
full_name: Müller Fischer, Matthias
last_name: Müller Fischer
- first_name: Tyson
full_name: Brochu, Tyson
last_name: Brochu
citation:
ama: 'Wojtan C, Müller Fischer M, Brochu T. Liquid simulation with mesh-based surface
tracking. In: ACM; 2011. doi:10.1145/2037636.2037644'
apa: 'Wojtan, C., Müller Fischer, M., & Brochu, T. (2011). Liquid simulation
with mesh-based surface tracking. Presented at the SIGGRAPH: Special Interest
Group on Computer Graphics and Interactive Techniques, Vancouver, BC, Canada:
ACM. https://doi.org/10.1145/2037636.2037644'
chicago: Wojtan, Chris, Matthias Müller Fischer, and Tyson Brochu. “Liquid Simulation
with Mesh-Based Surface Tracking.” ACM, 2011. https://doi.org/10.1145/2037636.2037644.
ieee: 'C. Wojtan, M. Müller Fischer, and T. Brochu, “Liquid simulation with mesh-based
surface tracking,” presented at the SIGGRAPH: Special Interest Group on Computer
Graphics and Interactive Techniques, Vancouver, BC, Canada, 2011.'
ista: 'Wojtan C, Müller Fischer M, Brochu T. 2011. Liquid simulation with mesh-based
surface tracking. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive
Techniques, 8.'
mla: Wojtan, Chris, et al. Liquid Simulation with Mesh-Based Surface Tracking.
8, ACM, 2011, doi:10.1145/2037636.2037644.
short: C. Wojtan, M. Müller Fischer, T. Brochu, in:, ACM, 2011.
conference:
end_date: 2011-08-11
location: Vancouver, BC, Canada
name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
start_date: 2011-08-07
date_created: 2018-12-11T12:02:31Z
date_published: 2011-08-07T00:00:00Z
date_updated: 2023-02-23T11:21:02Z
day: '07'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/2037636.2037644
file:
- access_level: open_access
checksum: 8d508ad7c82f50978acbaa4170ee0a75
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:34Z
date_updated: 2020-07-14T12:46:06Z
file_id: '5018'
file_name: IST-2016-599-v1+1_meshyFluidsCourseSIGGRAPH2011.pdf
file_size: 34672096
relation: main_file
file_date_updated: 2020-07-14T12:46:06Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication_status: published
publisher: ACM
publist_id: '3344'
pubrep_id: '599'
quality_controlled: '1'
scopus_import: 1
status: public
title: Liquid simulation with mesh-based surface tracking
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3290'
abstract:
- lang: eng
text: 'Analysis of genomic data requires an efficient way to calculate likelihoods
across very large numbers of loci. We describe a general method for finding the
distribution of genealogies: we allow migration between demes, splitting of demes
[as in the isolation-with-migration (IM) model], and recombination between linked
loci. These processes are described by a set of linear recursions for the generating
function of branch lengths. Under the infinite-sites model, the probability of
any configuration of mutations can be found by differentiating this generating
function. Such calculations are feasible for small numbers of sampled genomes:
as an example, we show how the generating function can be derived explicitly for
three genes under the two-deme IM model. This derivation is done automatically,
using Mathematica. Given data from a large number of unlinked and nonrecombining
blocks of sequence, these results can be used to find maximum-likelihood estimates
of model parameters by tabulating the probabilities of all relevant mutational
configurations and then multiplying across loci. The feasibility of the method
is demonstrated by applying it to simulated data and to a data set previously
analyzed by Wang and Hey (2010) consisting of 26,141 loci sampled from Drosophila
simulans and D. melanogaster. Our results suggest that such likelihood calculations
are scalable to genomic data as long as the numbers of sampled individuals and
mutations per sequence block are small.'
author:
- first_name: Konrad
full_name: Lohse, Konrad
last_name: Lohse
- first_name: Richard
full_name: Harrison, Richard
last_name: Harrison
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
citation:
ama: Lohse K, Harrison R, Barton NH. A general method for calculating likelihoods
under the coalescent process. Genetics. 2011;189(3):977-987. doi:10.1534/genetics.111.129569
apa: Lohse, K., Harrison, R., & Barton, N. H. (2011). A general method for calculating
likelihoods under the coalescent process. Genetics. Genetics Society of
America. https://doi.org/10.1534/genetics.111.129569
chicago: Lohse, Konrad, Richard Harrison, and Nicholas H Barton. “A General Method
for Calculating Likelihoods under the Coalescent Process.” Genetics. Genetics
Society of America, 2011. https://doi.org/10.1534/genetics.111.129569.
ieee: K. Lohse, R. Harrison, and N. H. Barton, “A general method for calculating
likelihoods under the coalescent process,” Genetics, vol. 189, no. 3. Genetics
Society of America, pp. 977–987, 2011.
ista: Lohse K, Harrison R, Barton NH. 2011. A general method for calculating likelihoods
under the coalescent process. Genetics. 189(3), 977–987.
mla: Lohse, Konrad, et al. “A General Method for Calculating Likelihoods under the
Coalescent Process.” Genetics, vol. 189, no. 3, Genetics Society of America,
2011, pp. 977–87, doi:10.1534/genetics.111.129569.
short: K. Lohse, R. Harrison, N.H. Barton, Genetics 189 (2011) 977–987.
date_created: 2018-12-11T12:02:29Z
date_published: 2011-11-01T00:00:00Z
date_updated: 2021-01-12T07:42:26Z
day: '01'
department:
- _id: NiBa
doi: 10.1534/genetics.111.129569
ec_funded: 1
intvolume: ' 189'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3213358/
month: '11'
oa: 1
oa_version: Submitted Version
page: 977 - 987
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '250152'
name: Limits to selection in biology and in evolutionary computation
publication: Genetics
publication_status: published
publisher: Genetics Society of America
publist_id: '3355'
quality_controlled: '1'
scopus_import: 1
status: public
title: A general method for calculating likelihoods under the coalescent process
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 189
year: '2011'
...
---
_id: '3312'
abstract:
- lang: eng
text: We study the 3D reconstruction of plant roots from multiple 2D images. To
meet the challenge caused by the delicate nature of thin branches, we make three
innovations to cope with the sensitivity to image quality and calibration. First,
we model the background as a harmonic function to improve the segmentation of
the root in each 2D image. Second, we develop the concept of the regularized visual
hull which reduces the effect of jittering and refraction by ensuring consistency
with one 2D image. Third, we guarantee connectedness through adjustments to the
3D reconstruction that minimize global error. Our software is part of a biological
phenotype/genotype study of agricultural root systems. It has been tested on more
than 40 plant roots and results are promising in terms of reconstruction quality
and efficiency.
acknowledgement: This research is supported by the National Science Foundation (NSF)
under grant DBI-0820624.
article_number: '6126475'
article_processing_charge: No
author:
- first_name: Ying
full_name: Zheng, Ying
last_name: Zheng
- first_name: Steve
full_name: Gu, Steve
last_name: Gu
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Carlo
full_name: Tomasi, Carlo
last_name: Tomasi
- first_name: Philip
full_name: Benfey, Philip
last_name: Benfey
citation:
ama: Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. Detailed Reconstruction
of 3D Plant Root Shape. IEEE; 2011. doi:10.1109/ICCV.2011.6126475
apa: 'Zheng, Y., Gu, S., Edelsbrunner, H., Tomasi, C., & Benfey, P. (2011).
Detailed reconstruction of 3D plant root shape. Proceedings of the IEEE
International Conference on Computer Vision. Barcelona, Spain: IEEE. https://doi.org/10.1109/ICCV.2011.6126475'
chicago: Zheng, Ying, Steve Gu, Herbert Edelsbrunner, Carlo Tomasi, and Philip Benfey.
Detailed Reconstruction of 3D Plant Root Shape. Proceedings of the IEEE
International Conference on Computer Vision. IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126475.
ieee: Y. Zheng, S. Gu, H. Edelsbrunner, C. Tomasi, and P. Benfey, Detailed reconstruction
of 3D plant root shape. IEEE, 2011.
ista: Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. 2011. Detailed reconstruction
of 3D plant root shape, IEEE,p.
mla: Zheng, Ying, et al. “Detailed Reconstruction of 3D Plant Root Shape.” Proceedings
of the IEEE International Conference on Computer Vision, 6126475, IEEE, 2011,
doi:10.1109/ICCV.2011.6126475.
short: Y. Zheng, S. Gu, H. Edelsbrunner, C. Tomasi, P. Benfey, Detailed Reconstruction
of 3D Plant Root Shape, IEEE, 2011.
conference:
end_date: 2011-11-13
location: Barcelona, Spain
name: 'ICCV: International Conference on Computer Vision'
start_date: 2011-11-06
date_created: 2018-12-11T12:02:36Z
date_published: 2011-12-31T00:00:00Z
date_updated: 2020-07-14T23:03:43Z
day: '31'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1109/ICCV.2011.6126475
file:
- access_level: open_access
checksum: 30a33564b7b45a7ee31610898267fd0e
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:04Z
date_updated: 2020-07-14T12:46:07Z
file_id: '4727'
file_name: IST-2016-541-v1+1_2011-P-07-RootReconstruction.pdf
file_size: 5622728
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
publication: Proceedings of the IEEE International Conference on Computer Vision
publication_status: published
publisher: IEEE
publist_id: '3328'
pubrep_id: '541'
quality_controlled: '1'
status: public
title: Detailed reconstruction of 3D plant root shape
type: conference_poster
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3313'
abstract:
- lang: eng
text: Interpreting an image as a function on a compact sub- set of the Euclidean
plane, we get its scale-space by diffu- sion, spreading the image over the entire
plane. This gener- ates a 1-parameter family of functions alternatively defined
as convolutions with a progressively wider Gaussian ker- nel. We prove that the
corresponding 1-parameter family of persistence diagrams have norms that go rapidly
to zero as time goes to infinity. This result rationalizes experimental observations
about scale-space. We hope this will lead to targeted improvements of related
computer vision methods.
article_number: '6126271'
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
citation:
ama: 'Chen C, Edelsbrunner H. Diffusion runs low on persistence fast. In: Proceedings
of the IEEE International Conference on Computer Vision. IEEE; 2011. doi:10.1109/ICCV.2011.6126271'
apa: 'Chen, C., & Edelsbrunner, H. (2011). Diffusion runs low on persistence
fast. In Proceedings of the IEEE International Conference on Computer Vision.
Barcelona, Spain: IEEE. https://doi.org/10.1109/ICCV.2011.6126271'
chicago: Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence
Fast.” In Proceedings of the IEEE International Conference on Computer Vision.
IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126271.
ieee: C. Chen and H. Edelsbrunner, “Diffusion runs low on persistence fast,” in
Proceedings of the IEEE International Conference on Computer Vision, Barcelona,
Spain, 2011.
ista: 'Chen C, Edelsbrunner H. 2011. Diffusion runs low on persistence fast. Proceedings
of the IEEE International Conference on Computer Vision. ICCV: International Conference
on Computer Vision, 6126271.'
mla: Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.”
Proceedings of the IEEE International Conference on Computer Vision, 6126271,
IEEE, 2011, doi:10.1109/ICCV.2011.6126271.
short: C. Chen, H. Edelsbrunner, in:, Proceedings of the IEEE International Conference
on Computer Vision, IEEE, 2011.
conference:
end_date: 2011-11-13
location: Barcelona, Spain
name: 'ICCV: International Conference on Computer Vision'
start_date: 2011-11-06
date_created: 2018-12-11T12:02:37Z
date_published: 2011-11-06T00:00:00Z
date_updated: 2021-01-12T07:42:35Z
day: '06'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1109/ICCV.2011.6126271
file:
- access_level: open_access
checksum: 6984684081ba123808b344f9f2e64a8f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:28Z
date_updated: 2020-07-14T12:46:07Z
file_id: '5282'
file_name: IST-2016-540-v1+1_2011-P-08-RunEmpty.pdf
file_size: 614050
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
publication: Proceedings of the IEEE International Conference on Computer Vision
publication_status: published
publisher: IEEE
publist_id: '3327'
pubrep_id: '540'
quality_controlled: '1'
scopus_import: 1
status: public
title: Diffusion runs low on persistence fast
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3311'
abstract:
- lang: eng
text: Alpha shapes have been conceived in 1981 as an attempt to define the shape
of a finite set of point in the plane. Since then, connections to diverse areas
in the sciences and engineering have developed, including to pattern recognition,
digital shape sampling and processing, and structural molecular biology. This
survey begins with a historical account and discusses geometric, algorithmic,
topological, and combinatorial aspects of alpha shapes in this sequence.
article_processing_charge: No
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
citation:
ama: 'Edelsbrunner H. Alpha shapes - a survey. In: van de Weygaert R, Vegter G,
Ritzerveld J, Icke V, eds. Tessellations in the Sciences: Virtues, Techniques
and Applications of Geometric Tilings. Springer.'
apa: 'Edelsbrunner, H. (n.d.). Alpha shapes - a survey. In R. van de Weygaert, G.
Vegter, J. Ritzerveld, & V. Icke (Eds.), Tessellations in the Sciences:
Virtues, Techniques and Applications of Geometric Tilings. Springer.'
chicago: 'Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In Tessellations
in the Sciences: Virtues, Techniques and Applications of Geometric Tilings,
edited by R van de Weygaert, G Vegter, J Ritzerveld, and V Icke. Springer, n.d.'
ieee: 'H. Edelsbrunner, “Alpha shapes - a survey,” in Tessellations in the Sciences:
Virtues, Techniques and Applications of Geometric Tilings, R. van de Weygaert,
G. Vegter, J. Ritzerveld, and V. Icke, Eds. Springer.'
ista: 'Edelsbrunner H.Alpha shapes - a survey. In: Tessellations in the Sciences:
Virtues, Techniques and Applications of Geometric Tilings. .'
mla: 'Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” Tessellations in the
Sciences: Virtues, Techniques and Applications of Geometric Tilings, edited
by R van de Weygaert et al., Springer.'
short: 'H. Edelsbrunner, in:, R. van de Weygaert, G. Vegter, J. Ritzerveld, V. Icke
(Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of
Geometric Tilings, Springer, n.d.'
date_created: 2018-12-11T12:02:36Z
date_published: 2011-12-31T00:00:00Z
date_updated: 2022-05-24T07:56:30Z
day: '31'
ddc:
- '510'
department:
- _id: HeEd
editor:
- first_name: R
full_name: van de Weygaert, R
last_name: van de Weygaert
- first_name: G
full_name: Vegter, G
last_name: Vegter
- first_name: J
full_name: Ritzerveld, J
last_name: Ritzerveld
- first_name: V
full_name: Icke, V
last_name: Icke
file:
- access_level: open_access
checksum: a592ea438351e7280eea993a7713ab8f
content_type: application/pdf
creator: dernst
date_created: 2022-05-24T07:55:05Z
date_updated: 2022-05-24T07:55:05Z
file_id: '11408'
file_name: 2010_AlphaShapes.pdf
file_size: 475254
relation: main_file
success: 1
file_date_updated: 2022-05-24T07:55:05Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
publication: 'Tessellations in the Sciences: Virtues, Techniques and Applications
of Geometric Tilings'
publication_status: inpress
publisher: Springer
publist_id: '3329'
quality_controlled: '1'
status: public
title: Alpha shapes - a survey
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3326'
abstract:
- lang: eng
text: 'Weighted automata map input words to numerical values. Ap- plications of
weighted automata include formal verification of quantitative properties, as well
as text, speech, and image processing. A weighted au- tomaton is defined with
respect to a semiring. For the tropical semiring, the weight of a run is the sum
of the weights of the transitions taken along the run, and the value of a word
is the minimal weight of an accepting run on it. In the 90’s, Krob studied the
decidability of problems on rational series defined with respect to the tropical
semiring. Rational series are strongly related to weighted automata, and Krob’s
results apply to them. In par- ticular, it follows from Krob’s results that the
universality problem (that is, deciding whether the values of all words are below
some threshold) is decidable for weighted automata defined with respect to the
tropical semir- ing with domain ∪ {∞}, and that the equality problem is undecidable
when the domain is ∪ {∞}. In this paper we continue the study of the borders of
decidability in weighted automata, describe alternative and direct proofs of the
above results, and tighten them further. Unlike the proofs of Krob, which are
algebraic in their nature, our proofs stay in the terrain of state machines, and
the reduction is from the halting problem of a two-counter machine. This enables
us to significantly simplify Krob’s reasoning, make the un- decidability result
accessible to the automata-theoretic community, and strengthen it to apply already
to a very simple class of automata: all the states are accepting, there are no
initial nor final weights, and all the weights on the transitions are from the
set {−1, 0, 1}. The fact we work directly with the automata enables us to tighten
also the decidability re- sults and to show that the universality problem for
weighted automata defined with respect to the tropical semiring with domain ∪
{∞}, and in fact even with domain ≥0 ∪ {∞}, is PSPACE-complete. Our results thus
draw a sharper picture about the decidability of decision problems for weighted
automata, in both the front of containment vs. universality and the front of the
∪ {∞} vs. the ∪ {∞} domains.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Shaull
full_name: Almagor, Shaull
last_name: Almagor
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Almagor S, Boker U, Kupferman O. What’s decidable about weighted automata
. In: Vol 6996. Springer; 2011:482-491. doi:10.1007/978-3-642-24372-1_37'
apa: 'Almagor, S., Boker, U., & Kupferman, O. (2011). What’s decidable about
weighted automata (Vol. 6996, pp. 482–491). Presented at the ATVA: Automated
Technology for Verification and Analysis, Taipei, Taiwan: Springer. https://doi.org/10.1007/978-3-642-24372-1_37'
chicago: Almagor, Shaull, Udi Boker, and Orna Kupferman. “What’s Decidable about
Weighted Automata ,” 6996:482–91. Springer, 2011. https://doi.org/10.1007/978-3-642-24372-1_37.
ieee: 'S. Almagor, U. Boker, and O. Kupferman, “What’s decidable about weighted
automata ,” presented at the ATVA: Automated Technology for Verification and Analysis,
Taipei, Taiwan, 2011, vol. 6996, pp. 482–491.'
ista: 'Almagor S, Boker U, Kupferman O. 2011. What’s decidable about weighted automata
. ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 6996, 482–491.'
mla: Almagor, Shaull, et al. What’s Decidable about Weighted Automata . Vol.
6996, Springer, 2011, pp. 482–91, doi:10.1007/978-3-642-24372-1_37.
short: S. Almagor, U. Boker, O. Kupferman, in:, Springer, 2011, pp. 482–491.
conference:
end_date: 2011-10-14
location: Taipei, Taiwan
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2011-10-11
date_created: 2018-12-11T12:02:41Z
date_published: 2011-10-14T00:00:00Z
date_updated: 2021-01-12T07:42:40Z
day: '14'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-642-24372-1_37
file:
- access_level: open_access
checksum: a7ca08a2cb1b6925f4c18a3034ae5659
content_type: application/pdf
creator: dernst
date_created: 2020-05-19T16:08:32Z
date_updated: 2020-07-14T12:46:07Z
file_id: '7868'
file_name: 2011_LNCS_Almagor.pdf
file_size: 182309
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
intvolume: ' 6996'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 482 - 491
publication_status: published
publisher: Springer
publist_id: '3309'
quality_controlled: '1'
status: public
title: 'What’s decidable about weighted automata '
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6996
year: '2011'
...
---
_id: '3325'
abstract:
- lang: eng
text: We introduce streaming data string transducers that map input data strings
to output data strings in a single left-to-right pass in linear time. Data strings
are (unbounded) sequences of data values, tagged with symbols from a finite set,
over a potentially infinite data do- main that supports only the operations of
equality and ordering. The transducer uses a finite set of states, a finite set
of variables ranging over the data domain, and a finite set of variables ranging
over data strings. At every step, it can make decisions based on the next in-
put symbol, updating its state, remembering the input data value in its data variables,
and updating data-string variables by concatenat- ing data-string variables and
new symbols formed from data vari- ables, while avoiding duplication. We establish
that the problems of checking functional equivalence of two streaming transducers,
and of checking whether a streaming transducer satisfies pre/post verification
conditions specified by streaming acceptors over in- put/output data-strings,
are in PSPACE. We identify a class of imperative and a class of functional pro-
grams, manipulating lists of data items, which can be effectively translated to
streaming data-string transducers. The imperative pro- grams dynamically modify
a singly-linked heap by changing next- pointers of heap-nodes and by adding new
nodes. The main re- striction specifies how the next-pointers can be used for
traversal. We also identify an expressively equivalent fragment of functional
programs that traverse a list using syntactically restricted recursive calls.
Our results lead to algorithms for assertion checking and for checking functional
equivalence of two programs, written possibly in different programming styles,
for commonly used routines such as insert, delete, and reverse.
article_processing_charge: No
author:
- first_name: Rajeev
full_name: Alur, Rajeev
last_name: Alur
- first_name: Pavol
full_name: Cerny, Pavol
id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
last_name: Cerny
citation:
ama: 'Alur R, Cerny P. Streaming transducers for algorithmic verification of single
pass list processing programs. In: Vol 46. ACM; 2011:599-610. doi:10.1145/1926385.1926454'
apa: 'Alur, R., & Cerny, P. (2011). Streaming transducers for algorithmic verification
of single pass list processing programs (Vol. 46, pp. 599–610). Presented at the
POPL: Principles of Programming Languages, Texas, USA: ACM. https://doi.org/10.1145/1926385.1926454'
chicago: Alur, Rajeev, and Pavol Cerny. “Streaming Transducers for Algorithmic Verification
of Single Pass List Processing Programs,” 46:599–610. ACM, 2011. https://doi.org/10.1145/1926385.1926454.
ieee: 'R. Alur and P. Cerny, “Streaming transducers for algorithmic verification
of single pass list processing programs,” presented at the POPL: Principles of
Programming Languages, Texas, USA, 2011, vol. 46, no. 1, pp. 599–610.'
ista: 'Alur R, Cerny P. 2011. Streaming transducers for algorithmic verification
of single pass list processing programs. POPL: Principles of Programming Languages
vol. 46, 599–610.'
mla: Alur, Rajeev, and Pavol Cerny. Streaming Transducers for Algorithmic Verification
of Single Pass List Processing Programs. Vol. 46, no. 1, ACM, 2011, pp. 599–610,
doi:10.1145/1926385.1926454.
short: R. Alur, P. Cerny, in:, ACM, 2011, pp. 599–610.
conference:
end_date: 2011-01-28
location: Texas, USA
name: 'POPL: Principles of Programming Languages'
start_date: 2011-01-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-01-26T00:00:00Z
date_updated: 2022-03-21T08:12:51Z
day: '26'
department:
- _id: ToHe
doi: 10.1145/1926385.1926454
intvolume: ' 46'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 599 - 610
publication_status: published
publisher: ACM
publist_id: '3310'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Streaming transducers for algorithmic verification of single pass list processing
programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 46
year: '2011'
...
---
_id: '3324'
abstract:
- lang: eng
text: 'Automated termination provers often use the following schema to prove that
a program terminates: construct a relational abstraction of the program''s transition
relation and then show that the relational abstraction is well-founded. The focus
of current tools has been on developing sophisticated techniques for constructing
the abstractions while relying on known decidable logics (such as linear arithmetic)
to express them. We believe we can significantly increase the class of programs
that are amenable to automated termination proofs by identifying more expressive
decidable logics for reasoning about well-founded relations. We therefore present
a new decision procedure for reasoning about multiset orderings, which are among
the most powerful orderings used to prove termination. We show that, using our
decision procedure, one can automatically prove termination of natural abstractions
of programs.'
alternative_title:
- LNCS
author:
- first_name: Ruzica
full_name: Piskac, Ruzica
last_name: Piskac
- first_name: Thomas
full_name: Wies, Thomas
id: 447BFB88-F248-11E8-B48F-1D18A9856A87
last_name: Wies
citation:
ama: 'Piskac R, Wies T. Decision procedures for automating termination proofs. In:
Jhala R, Schmidt D, eds. Vol 6538. Springer; 2011:371-386. doi:10.1007/978-3-642-18275-4_26'
apa: 'Piskac, R., & Wies, T. (2011). Decision procedures for automating termination
proofs. In R. Jhala & D. Schmidt (Eds.) (Vol. 6538, pp. 371–386). Presented
at the VMCAI: Verification Model Checking and Abstract Interpretation, Texas,
USA: Springer. https://doi.org/10.1007/978-3-642-18275-4_26'
chicago: Piskac, Ruzica, and Thomas Wies. “Decision Procedures for Automating Termination
Proofs.” edited by Ranjit Jhala and David Schmidt, 6538:371–86. Springer, 2011.
https://doi.org/10.1007/978-3-642-18275-4_26.
ieee: 'R. Piskac and T. Wies, “Decision procedures for automating termination proofs,”
presented at the VMCAI: Verification Model Checking and Abstract Interpretation,
Texas, USA, 2011, vol. 6538, pp. 371–386.'
ista: 'Piskac R, Wies T. 2011. Decision procedures for automating termination proofs.
VMCAI: Verification Model Checking and Abstract Interpretation, LNCS, vol. 6538,
371–386.'
mla: Piskac, Ruzica, and Thomas Wies. Decision Procedures for Automating Termination
Proofs. Edited by Ranjit Jhala and David Schmidt, vol. 6538, Springer, 2011,
pp. 371–86, doi:10.1007/978-3-642-18275-4_26.
short: R. Piskac, T. Wies, in:, R. Jhala, D. Schmidt (Eds.), Springer, 2011, pp.
371–386.
conference:
end_date: 2011-01-25
location: Texas, USA
name: 'VMCAI: Verification Model Checking and Abstract Interpretation'
start_date: 2011-01-23
date_created: 2018-12-11T12:02:40Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:39Z
day: '01'
department:
- _id: ToHe
doi: 10.1007/978-3-642-18275-4_26
editor:
- first_name: Ranjit
full_name: Jhala, Ranjit
last_name: Jhala
- first_name: David
full_name: Schmidt, David
last_name: Schmidt
intvolume: ' 6538'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://infoscience.epfl.ch/record/170697/
month: '01'
oa: 1
oa_version: Submitted Version
page: 371 - 386
publication_status: published
publisher: Springer
publist_id: '3311'
quality_controlled: '1'
scopus_import: 1
status: public
title: Decision procedures for automating termination proofs
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6538
year: '2011'
...