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Computational topology for shape modeling

J.C. Hart
1999 Proceedings Shape Modeling International '99. International Conference on Shape Modeling and Applications  
The survey concludes by identifying several open problems remaining in shape modeling for computational topology to solve.  ...  This paper expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape modeling.  ...  This list of future work serves to conclude this survey of computational topology applications in shape modeling.  ... 
doi:10.1109/sma.1999.749320 dblp:conf/smi/Hart99 fatcat:mhpocs4hi5agtlszzaxv3scdvy

Construction of 3D Dynamic Statistical Deformable Models for Complex Topological Shapes [chapter]

Paramate Horkaew, Guang-Zhong Yang
2004 Lecture Notes in Computer Science  
This paper describes the construction of 3D dynamic statistical deformable models for complex topological shapes.  ...  It significantly extents the existing framework in that surfaces with higher genus can be effectively modeled.  ...  A total of thirty-four shapes of the LV and LA were used for building the dynamic statistical shape model.  ... 
doi:10.1007/978-3-540-30135-6_27 fatcat:yc22bncc7vbfvfoalnazdltg2u

Topological model for machining of parts with complex shapes

Laurent Tapie, Bernardin Mawussi, Alain Bernard
2012 Computers in industry (Print)  
In this paper, a model developed for the description of complex shape parts topology is presented.  ...  Five axes HSM is generally required for such complex shaped parts but 3 axes machining can be sufficient for dies.  ...  In this paper, a model developed for the description of the topology of complex shape parts is presented.  ... 
doi:10.1016/j.compind.2012.02.005 fatcat:t5s6o2qhqnh6la4jcxpka7xrnq

Evolutionary fronts for topology-independent shape modeling and recovery [chapter]

R. Malladi, J. A. Sethian, B. C. Vemuri
1994 Lecture Notes in Computer Science  
This paper presents a novel framework for shape modeling and shape recovery based on ideas developed by Osher & Sethian for interface motion.  ...  Our techniques can be applied to model arbitrarily complex shapes, which include shapes with significant protrusions, and to situations where no a priori assumption about the object's topology can be made  ...  We believe that this shape modeling algorithm will have numerous applications in the areas of computer vision and computer graphics.  ... 
doi:10.1007/3-540-57956-7_1 fatcat:stsdsl55x5hqna3kkgy2yj3j5a

3D open-surface shape correspondence for statistical shape modeling: Identifying topologically consistent landmarks

Pahal Dalal, Lili Ju, Michael McLaughlin, Xiangrong Zhou, Hiroshi Fujita, Song Wang
2009 2009 IEEE 12th International Conference on Computer Vision  
For our experiments, we test the proposed method by constructing a statistical shape model of the human diaphragm from 26 shape instances.  ...  In particular, we enforce explicit topology consistency on the identified landmarks to ensure that they form a simple, consistent triangle mesh to more accurately model the correspondence of the underlying  ...  Introduction The Point Distribution Model (PDM) [9] has become a very popular tool for statistical shape analysis and has been widely used in various computer-vision and medicalimaging applications such  ... 
doi:10.1109/iccv.2009.5459412 dblp:conf/iccv/DalalJMZFW09 fatcat:wcfmt5gmtfd6rlkkmxztpttlku

A novel modeling algorithm for shape recovery of unknown topology

Y. Duan, H. Qin
Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001  
Based on our experiments, the new modeling algorithm proves to be very powerful and extremely valuable for shape recovery in computer vision, reverse engineering in computer graphics, and iso-surface extraction  ...  This paper presents a novel modeling algorithm that is capable of simultaneously recovering correct shape geometry as well as its unknown topology from arbitrarily complicated datasets.  ...  Tim McInerney for the vertebral datasets and Dr. Hughes Hoppe for the knots datasets, respectively.  ... 
doi:10.1109/iccv.2001.937546 fatcat:jy5hxo74djdr3dabqgowyr3dxa

Computational topology for reconstruction of surfaces with boundary: integrating experiments and theory

K. Abe, J. Bisceglio, T.J. Peters, A.C. Russell, D.R. Ferguson, T. Sakkalis
International Conference on Shape Modeling and Applications 2005 (SMI' 05)  
This paper presents computational topology techniques for reconstruction of surfaces with boundary, where all manifolds considered are assumed to be embedded in R 3 .  ...  Partial funding for T.J. Peters was from NSF grants DMS-9985802, DMS-0138098, CCR 0226504 and CCF-0429477. Partial funding for T.  ...  Acknowledgments Partial funding for K. Abe and A. C. Russell was from NSF grants CCR 0226504 and CCF-0429477. Partial funding for J. Bisceglio and D. R. Ferguson was from NSF grant DMS-0138098.  ... 
doi:10.1109/smi.2005.8 dblp:conf/smi/AbeBPRS05 fatcat:nsob6i6wvfhv7fa454igs4njyy

Octree skeleton: An efficient tool for shape and topology analysis of digital models

Tao Ju
2008 2008 IEEE International Conference on Shape Modeling and Applications  
We present algorithms for representing, computing and utilizing skeletons of digital models on adaptive octree grids, allowing efficient topology and shape analysis on large inputs.  ...  A classical tool for describing the shape and topology of a solid model is the skeleton, a discrete approximation of the medial axis.  ...  We present algorithms for representing, computing and utilizing skeletons of digital models on adaptive octree grids, allowing efficient topology and shape analysis on large inputs.  ... 
doi:10.1109/smi.2008.4547933 dblp:conf/smi/Ju08 fatcat:iy2vsnxnqjhdfb5epiozovufjm

On-the-fly Curve-skeleton Computation for 3D Shapes

Andrei Sharf, Thomas Lewiner, Ariel Shamir, Leif Kobbelt
2007 Computer graphics forum (Print)  
The algorithm is based on a deformable model evolution that captures the object's volumetric shape.  ...  It creates a natural segmentation of the object and computes a center curve for each segment while maintaining a full correspondence between the skeleton and the boundary of the object.  ...  Figure 1 : 1 On-the-fly curve-skeleton computation for a real scan of a woman model.  ... 
doi:10.1111/j.1467-8659.2007.01054.x fatcat:2oex7ul3jvdlbd5jvhltr23lqy

Topologically Robust 3D Shape Matching via Gradual Deflation and Inflation [article]

Asli Genctav, Yusuf Sahillioglu, Sibel Tari
2017 arXiv   pre-print
One approach for matching 3D shapes under topological noise is to replace the topology-sensitive geodesic distance with distances that are less sensitive to topological changes.  ...  for correspondences.  ...  For each model, we use the isometric shape and five shapes with topology noise. We also use the null shape from the models 0002 and 0007.  ... 
arXiv:1705.00274v2 fatcat:laebun5un5f6ponwsadd4quitm

Medial Models Incorporating Object Variability for 3D Shape Analysis [chapter]

Martin Styner, Guido Gerig
2001 Lecture Notes in Computer Science  
The medial model is computed automatically from a predefined shape space using pruned 3D Voronoi skeletons to determine the stable medial branching topology.  ...  Knowledge about the biological variability of anatomical objects is essential for statistical shape analysis and discrimination between healthy and pathological structures.  ...  We are thankful to Christian Brechbühler for providing the software for surface parameterization and SPHARM shape description.  ... 
doi:10.1007/3-540-45729-1_53 fatcat:phskwxd4mfgofgebbowvztplnq

SHREC'08 entry: Shape retrieval of noisy watertight models using aMRG

Tony Tung, Francis Schmitt
2008 2008 IEEE International Conference on Shape Modeling and Applications  
This paper presents an evaluation of the stability of the augmented multiresolution Reeb graph (aMRG) [2] for shape retrieval of 3D watertight models.  ...  The method is based on a Reeb graph construction which is a well-known topology based shape descriptor.  ...  As every class contains models with similar shape topology, we believe the augmented multiresolution Reeb graph (aMRG) [2] should return interesting performance for shape retrieval.  ... 
doi:10.1109/smi.2008.4547981 dblp:conf/smi/TungS08 fatcat:bkvdurzvzbgzpfv3dddqa52gtq

Progressive shape models

A. Letouzey, E. Boyer
2012 2012 IEEE Conference on Computer Vision and Pattern Recognition  
While several approaches allow recovery of shape models from static scenes, few consider dynamic scenes with evolving topology and without prior knowledge.  ...  learn the topology and to enable temporally consistent modelling.  ...  The proposed estimation approach alternates between model evolution for the topology and model tracking for the geometry.  ... 
doi:10.1109/cvpr.2012.6247675 dblp:conf/cvpr/LetouzeyB12 fatcat:hcqxcizkqjhnvf2op7ypw6ysgm

Topology preserving surface extraction using adaptive subdivision

Gokul Varadhan, Shankar Krishnan, TVN Sriram, Dinesh Manocha
2004 Symposium on geometry processing : [proceedings]. Symposium on Geometry Processing  
We address the problem of computing a topology preserving isosurface from a volumetric grid using Marching Cubes for geometry processing applications.  ...  The running time of our algorithm varies between a few seconds for simple models composed of a few thousand triangles to tens of seconds for complex polyhedral models represented using hundreds of thousands  ...  Acknowledgments We would like to thank David Applegate for providing us the QSOPT software and a modified dual LP formulation.  ... 
doi:10.1145/1057432.1057464 fatcat:7eh435u5tba6fliphbphvsng5e

Page 823 of American Society of Civil Engineers. Collected Journals Vol. 128, Issue 6 [page]

2002 American Society of Civil Engineers. Collected Journals  
“A homogenization method for shape and topology optimization.”” Comput. Methods Appl. Mech. Eng., 93, 291-318. Tenek, L. H., and Hagiwara, I. (1993).  ...  “Computer graphics for nonlinear strut-tie model approach.” J. Comput. Civ. Eng., 14(2), 127-133. JOURNAL OF STRUCTURAL ENGINEERING / JUNE 2002 / 823  ... 
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