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Grow & fold: compressing the connectivity of tetrahedral meshes

A. Szymczak, J. Rossignac
2000 Computer-Aided Design  
sequences of 'folding' operations, so that they produce the connectivity graph of the original mesh.  ...  Our 'Grow & Fold' format reduces the connectivity storage down to 7 bits per tetrahedron: three of these are used to encode the presence of children in a tetrahedron spanning tree; the other four constrain  ...  Acknowledgements This work was supported by the Swiss NF grant 81EZ-54524 and US NSF grant 9721358.  ... 
doi:10.1016/s0010-4485(00)00040-3 fatcat:jwpjm4ydqjh4hcxthgorx3urqe

The role of glottal surface adhesion on vocal folds biomechanics

Pinaki Bhattacharya, Thomas Siegmund
2014 Biomechanics and Modeling in Mechanobiology  
The airway surface liquid (ASL) is a very thin mucus layer and covers the vocal fold (VF) surface. Adhesion mediated by the ASL occurs during phonation as the VFs separate after collision.  ...  It is found that for the ASL considered here, the characteristics of the VF separation process are of debond type.  ...  In the compression phase (figure 5a), which starts when at least one location on AB comes into contact, a single CILS grows until it reaches a maximum length.  ... 
doi:10.1007/s10237-014-0603-7 pmid:25034504 pmcid:PMC4297746 fatcat:q4vg4hxezfblbax5lqx2w56qzu

Elastic instability during branchial ectoderm development causes folding of the Chlamydosaurus erectile frill

Sophie A Montandon, Anamarija Fofonjka, Michel C Milinkovitch
2019 eLife  
We suggest that this robust folding pattern is not due to localised increased growth at the positions of the ridges, but emerges from an elastic instability during homogeneous growth of the frill skin  ...  Our comparative developmental analyses of multiple species suggest that the ancestor of Episquamata reptiles developed a neck fold from the hyoid branchial arch by preventing it to fully fuse with posterior  ...  The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.  ... 
doi:10.7554/elife.44455 fatcat:idlxa4n4c5hi3l7eoxtcoaqv3u

Compressing hexahedral volume meshes

Martin Isenburg, Pierre Alliez
2003 Graphical Models  
On our test meshes the average connectivity compression ratio is 1 : 162.7.  ...  For connectivity compression, we extend the idea of coding with degrees as pioneered by Touma and Gotsman [30] to volume meshes. Hexahedral connectivity is coded as a sequence of edge degrees.  ...  This work was done while both authors were at INRIA, Sophia-Antipolis and was supported in part by the ARC TeleGeo grant from INRIA.  ... 
doi:10.1016/s1524-0703(03)00044-4 fatcat:ogeq7kdk6jbbzdvoqwytdtztrq

Phylogenomics and its Growing Impact on Algal Phylogeny and Evolution

Reyes-Prieto Adrian, Hwan-Su Yoon, Debashish Bhattacharya
2006 ALGAE  
Phylogenomics is the convergence of genomics science (the study of the function and structure of genes and genomes) and molecular phylogenetics (the study of the hierarchical evolutionary relationships  ...  The new higher level classification of eukaryotes with emphasis on the taxonomy of protists.  ...  ACKNOWLEDGEMENTS The authors are grateful to Ministry of Environment and Forest, Govt. of India for financial support through an All India Coordinated Project on Taxonomy (AICOP- The aim of the present  ... 
doi:10.4490/algae.2006.21.1.001 fatcat:cgwj6zss7za3ximr4bp7tai2l4

Applications of Forman's discrete Morse theory to topology visualization and mesh compression

T. Lewiner, H. Lopes, G. Tavares
2004 IEEE Transactions on Visualization and Computer Graphics  
This construction is then used to topologically analyze mesh compression schemes, such as Edgebreaker and Grow&Fold.  ...  In particular, this paper proves that the complexity class of the strategy optimization of Grow&Fold is MAX-SNP hard.  ...  In the next section, we will extend this result to topologically analyze the Grow&Fold tetrahedral mesh compression algorithm. (b) Grow and Fold The Grow&Fold algorithm of A. Szymczak and J.  ... 
doi:10.1109/tvcg.2004.18 pmid:15794132 fatcat:xlhpq5jekjhilgsrqkz3zfrcla

Active zones in CSG for accelerating boundary evaluation, redundancy elimination, interference detection, and shading algorithms

Jaroslaw R. Rossignac, Herbert B. Voelcker
1988 ACM Transactions on Graphics  
Although I have initiated these projects and invented or co-invented the underlying technologies, much of this work would not have been possible without the involvement of my collaborators (colleagues,  ...  Constructive Solid Geometry (CSG) formulations and algorithms The objective of this research area was to improve the efficiency, reliability, and power of CSG (a core technology for solid modeling).  ...  (Top conference in the area, 30% acceptance rate.) "Grow&Fold: Compressing the connectivity of tetrahedral meshes", A. Szymczak and J. Rossignac.  ... 
doi:10.1145/49155.51123 fatcat:psnn6mwnrbhjlndd2bu6vatavi

HexaShrink, an exact scalable framework for hexahedral meshes with attributes and discontinuities: multiresolution rendering and storage of geoscience models

Jean-Luc Peyrot, Laurent Duval, Frédéric Payan, Lauriane Bouard, Lénaïc Chizat, Sébastien Schneider, Marc Antonini
2019 Computational Geosciences  
Starting with an overview of volume meshes compression techniques, our contribution blends coherently different multiresolution wavelet schemes in different dimensions.  ...  They emphasize the consistency of the proposed representation, in terms of visualization, attribute downsampling and distribution at different resolutions.  ...  Wheeler for their help, as well as the reviewers whose comments helped improve the compression performance assessment and comparison.  ... 
doi:10.1007/s10596-019-9816-2 fatcat:gltpzzoyvfe3bbez5snwtcjayq


Topraj Gurung, Jarek Rossignac
2009 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling on - SPM '09  
We use a set of powerful wedge-based operators for querying and traversing the mesh.  ...  The Compact Half Face (CHF) proposed by Lage et al. extends CT to tetrahedral meshes, storing 8 references per tetrahedron (4 in the V table and 4 in the O table).  ...  Since there are 2+2k external faces, but 6+2k locations in the opposites propose the Grow&Fold compression algorithm for tetrahedral meshes.  ... 
doi:10.1145/1629255.1629266 dblp:conf/sma/GurungR09 fatcat:if2upiodozgr5g2xmbmn663i2q

GEncode: Geometry-driven compression for General Meshes

Thomas Lewiner, Marcos Craizer, Hélio Lopes, Sinésio Pesco, Luiz Velho, Esdras Medeiros
2006 Computer graphics forum (Print)  
Performances of actual mesh compression algorithms vary significantly depending on the type of model it encodes.  ...  GEncode is a new single-rate, geometry-driven compression scheme where prior knowledge of the mesh is plugged into the coder in an explicit manner.  ...  ratio (in bits per vertex) for tetrahedral meshes compared with Grow & Fold [32] and streaming compression [16] .  ... 
doi:10.1111/j.1467-8659.2006.00990.x fatcat:amxwdceesrge5ct5qkdv7ermo4

An Integrated Pipeline of Decompression, Simplification and Rendering for Irregular Volume Data [article]

Chuan-Kai Yang, Tzi-Cker Chiueh
2005 International Workshop on Volume Graphics, Proceedings of the  
Since simplification is a form of lossy compression, the on-the-fly volume simplification algorithm provides a powerful mechanism to dynamically create versions of a tetrahedral mesh at multiple resolution  ...  The proposed tetrahedral mesh simplification algorithm and its integration with volume decompression and rendering has been successfully implemented in the Gatun system.  ...  The output of the tetrahedral mesh compression algorithm also consists of two parts: a representation of the boundary surface and a representation of the geometry and connectivity of the tetrahedral mesh  ... 
doi:10.2312/vg/vg05/147-155 fatcat:wyytkwfkdfgmpf4da2l6gmed6q

An Architecture For Interactive Tetrahedral Volume Rendering [chapter]

Davis King, Craig M. Wittenbrink, Hans J. Wolters
2001 Eurographics  
These primitives allow performance improvements in rendering tetrahedral meshes similar to the improvements triangle strips and fans allow in rendering triangle meshes.  ...  We provide new techniques for generating tetrahedral strips that achieve, on the average, strip lengths of 17 on representative datasets.  ...  , Jeffrey Berkley, University of Washington HIT Laboratory; and for the head and torso datasets, the Center for Scientific Computing and Imaging, University of Utah.  ... 
doi:10.1007/978-3-7091-6756-4_11 fatcat:y2vouw2kzrhdvgbrsan3xeopje

Woodification: User-Controlled Cambial Growth Modeling

J. Kratt, M. Spicker, A. Guayaquil, M. Fiser, S. Pirk, O. Deussen, J. C. Hart, B. Benes
2015 Computer graphics forum (Print)  
mesh with adaptive subdivision, collision detection and topological control.  ...  Abstract We present a botanical simulation of secondary (cambial) tree growth coupled to a physical cracking simulation of its bark.  ...  The DSC also overcomes the common roadblocks of Lagrangian surface mesh deformation caused by selfintersections (e.g., fold-overs) by maintaining interior and exterior tetrahedral meshes that conform to  ... 
doi:10.1111/cgf.12566 fatcat:r5ppepi4sfdanlvjroxyunhhlu

Robust interactive cutting based on an adaptive octree simulation mesh

Martin Seiler, Denis Steinemann, Jonas Spillmann, Matthias Harders
2011 The Visual Computer  
Acknowledgement This work has been supported by the Swiss CTI project 10534.1 PFLS-LS.  ...  Computing one time step takes only 5 ms Cutting folded objects Our method allows for robust cutting even in challenging scenarios that include folded and heavily compressed objects.  ...  Further, instead of using tetrahedral or hexahedral background meshes, there exist a couple of approaches that do not require any mesh structure to compute the dynamics. Pauly et al.  ... 
doi:10.1007/s00371-011-0561-3 fatcat:nf6qzmwajnhl5pvivvxdrdocyy

Global Perturbation of Initial Geometry in a Biomechanical Model of Cortical Morphogenesis [article]

Amine Bohi, Xiaoyu Wang, Mariam Al Harrach, Mickael Dinomais, François Rousseau, Julien Lefèvre
2019 arXiv   pre-print
Our approach allows us to study and explore one of the most potential sources of reproducible cortical folding pattern: the specification of initial geometry of the brain.  ...  Cortical folding pattern is a main characteristic of the geometry of the human brain which is formed by gyri (ridges) and sulci (grooves).  ...  The simulation of cortical folding is based on a finite element model of the human brain with a 3D tetrahedral mesh extracted from a T2-weighted motion corrected MRI of a fetal brain at 22 GW.  ... 
arXiv:1902.05883v2 fatcat:lqrszi4airb2pijtkabrjh767e
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