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Organized by

EUROGRAPHICS THEEUROPEANASSOCIATION

FORCOMPUTERGRAPHICS

Conference Chairs

Marco Tarini – University of Milan “La Statale”

Alessandro Rizzi – University of Milan “La Statale”

Paolo Cignoni – Visual Computing Lab - ISTI - CNR

Technical Program Chairs David Bommes – University of Bern

Hui Huang – Shenzhen University

DOI: 10.1111/cgf.13800 https://www.eg.org https://diglib.eg.org

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International Programme Committee

Noam Aigerman Adobe Research (USA) Marc Alexa

TU Berlin (Germany) Nina Amenta UC Davis (USA) Marco Attene CNR-IMATI (Italy) Omri Azencot UCLA (USA)

Jakob Andreas Bærentzen DTU (Denmark)

Michael Barton BCAM (Spain) Alexander Belyaev Heriot-Watt University (UK) Mirela Ben-Chen

Technion (Israel) Bedrich Benes

Purdue University (USA) Amit Bermano

Tel-Aviv University (Israel) Bernd Bickel

IST (Austria) Mario Botsch

Bielefeld University (Germany) Sofien Bouaziz

Google Research (USA) Tamy Boubekeur Télécom ParisTech (France) Michael Bronstein USI (Switzerland) Marcel Campen NYU (USA) Frederic Cazals INRIA (France)

Siddhartha Chaudhuri IIT Bombay (India) Renjie Chen

MPI Informatik (Germany) Edward Chien

MIT (USA)

David Cohen-Steiner INRIA (France) Keenan Crane

Carnegie Mellon University (USA) Fernando de Goes

Pixar Animation Studios (USA) Mathieu Desbrun

Caltech (USA) Tamal Dey

Ohio State University (USA) Olga Diamanti

Stanford University (USA) Julie Digne

Univ Lyon 1 (France) Weiming Dong

Institute of Automation - CAS (China) John Evans

University of Colorado Boulder (USA) Xifeng Gao

NYU (USA) Yotam Gingold

George Mason University (USA) Daniela Giorgi

CNR-ISTI (Italy) Eitan Grinspun

Columbia University (USA) Gael Guennebaud INRIA (France) Paul Guerrero UC London (UK) Stefanie Hahmann INRIA (France) David Hahn IST (Austria) Su Hao UCSD (USA) Ying He

Nanyang Technological University (Singapore) Klaus Hildebrandt

TU Delft (Netherlands)

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Kai Hormann

University of Lugano (Switzerland) Jin Huang

Zhejiang University (China) Qixing Huang

UT Austin (USA) Alec Jacobson

University of Toronto (Canada) Tao Ju

Washington University in St. Louis (USA) Bert Jüttler

JKU Linz (Austria) Evangelos Kalogerakis

University of Massachusetts at Amherst (USA) Misha Kazhdan

Johns Hopkins University (USA) John Keyser

Texas A&M University (USA) Leif Kobbelt

RWTH Aachen (Germany) Jiri Kosinka

University of Groningen (Netherlands) Yu-Kun Lai

Cardiff University (UK) Manfred Lau

City University of Hong Kong (Hong Kong) Hao Li

University of Southern California (USA) Yaron Lipman

Weizmann Institute of Science (Israel) Ligang Liu

USTC (China) Yang Liu

Microsoft Research Lab - Asia (China) Luigi Malomo

CNR-ISTI (Italy) Pooran Memari

École Polytechnique (France) Quentin Merigot

Université Paris-Sud (France) Niloy Mitra

UCL (UK)

Przem Musialski TU Wien (Austria) Maks Ovsjanikov

École Polytechnique (France) Julian Panetta

EPFL (Switzerland) Daniele Panozzo NYU (USA) Giuseppe Patane CNR-IMATI (Italy) Jorg Peters

University of Florida (USA) Nico Pietroni

CNR-ISTI (Italy) Konrad Polthier

Freie Universität Berlin (Germany) Roi Poranne

University of Haifa (Israel) Helmut Pottmann TU Wien (Austria) Emanuele Rodola La Sapienza, Rome (Italy) Jarek Rossignac Georgia Tech (Tech) Martin Rumpf

Universität Bonn (Germany) Raif M. Rustamov AT&T Labs Research (USA) Manolis Savva

SFU (Canada) Scott Schaefer

Texas A&M University (USA) Nico Schertler

UBC (Canada) Ryan Schmidt Gradientspace (Canada) Peter Schröder Caltech (USA) Alla Sheffer UBC (Canada) Justin Solomon MIT (USA)

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International Programme Committee

Michela Spagnuolo CNR-IMATI (Italy) Andrea Tagliasacchi UVic (Canada)

Kenshi Takayama NII (China)

Chengcheng Tang Stanford University (USA) Jean-Marc Thiery Télécom ParisTech (France) Bernhard Thomaszewski UdeM (Canada)

Yiying Tong

Michigan State University (USA) Amir Vaxman

Utrecht University (Netherlands) Etienne Vouga

University of Texas at Austin (USA) Johannes Wallner

TU Graz (Austria) Michael Wand

Mainz University (Germany) Max Wardetzky

University of Goettingen (Germany) Ofir Weber

Bar Ilan University (Israel) Peter Wonka

KAUST (Saudi Arabia) Shihao Wu

ETH Zurich (Switzerland) Kevin Kai Xu

NUDT (China) Yongliang Yang University of Bath (UK) Eugene Zhang

Oregon State University (USA) Hao (Richard) Zhang

Simon Fraser University (Canada) Yongjie Jessica Zhang

Carnegie Mellon University (USA) Kun Zhou

Zhejiang University (China) Qingnan (James) Zhou Adobe Research (USA) Denis Zorin

NYU (USA)

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Shape Correspondences

Divergence-Free Shape Correspondence by Deformation Marvin Eisenberger, Zorah Lähner, and Daniel Cremers

1

Consistent Shape Matching via Coupled Optimization Omri Azencot, Anastasia Dubrovina, and Leonidas Guibas

13

Dense Point-to-Point Correspondences Between Genus-Zero Shapes Sing Chun Lee and Misha Kazhdan

27

Functional Maps

Structured Regularization of Functional Map Computations Jing Ren, Mikhail Panine, Peter Wonka, and Maks Ovsjanikov

39

Hierarchical Functional Maps between Subdivision Surfaces Meged Shoham, Amir Vaxman, and Mirela Ben-Chen

55

Modeling and Deformation

A Family of Barycentric Coordinates for Co-Dimension 1 Manifolds with Simplicial Facets Zhipei Yan and Scott Schaefer

75

Structural Design Using Laplacian Shells Erva Ulu, Jim McCann, and Levent Burak Kara

85

Synthesis and Learning

A Convolutional Decoder for Point Clouds using Adaptive Instance Normalization Isaak Lim, Moritz Ibing, and Leif Kobbelt

99

Point Pattern Synthesis via Irregular Convolution Peihan Tu, Dani Lischinski, and Hui Huang

109

Unsupervised Cycle-consistent Deformation for Shape Matching

Thibault Groueix, Matthew Fisher, Vladimir G. Kim, Bryan C. Russel, and Mathieu Aubry

123

Shape Representations

Feature Preserving Octree-Based Hexahedral Meshing Xifeng Gao, Hanxiao Shen, and Daniele Panozzo

135

High Quality Refinable G-splines for Locally Quad-dominant Meshes With T-gons Kestutis Karˇciauskas and Jorg Peters

151

2D and 3D Reconstruction

Parallel Globally Consistent Normal Orientation of Raw Unorganized Point Clouds Johannes Jakob, Christoph Buchenau, and Michael Guthe

163

On Evaluating Consensus in RANSAC Surface Registration Lukáš Hruda, Jan Dvoˇrák, and Libor Váša

175

Shape Collections and Analysis

Limit Shapes - A Tool for Understanding Shape Differences and Variability in 3D Model Collections

Ruqi Huang, Panos Achlioptas, Leonidas Guibas, and Maks Ovsjanikov

187

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Author Index

Achlioptas, Panos . . . 187

Aubry, Mathieu . . . 123

Azencot, Omri . . . 13

Ben-Chen, Mirela . . . 55

Buchenau, Christoph . . . 163

Cremers, Daniel . . . 1

Dubrovina, Anastasia . . . 13

Dvoˇrák, Jan . . . 175

Eisenberger, Marvin . . . 1

Fisher, Matthew . . . 123

Gao, Xifeng . . . 135

Groueix, Thibault . . . 123

Guibas, Leonidas . . . 13, 178 Guthe, Michael . . . 163

Hruda, Lukáš . . . 175

Huang, Hui . . . 109

Huang, Ruqi . . . 187

Ibing, Moritz . . . 99

Jakob, Johannes . . . 163

Kara, Levent Burak . . . 85

Karˇciauskas, Kestutis . . . 151

Kazhdan, Misha . . . 27

Kim, Vladimir G. . . 123

Kobbelt, Leif . . . 99

Lähner, Zorah . . . 1

Lee, Sing Chun . . . 27

Lim, Isaak . . . 99

Lischinski, Dani . . . 109

McCann, Jim . . . 85

Ovsjanikov, Maks . . . 39, 187 Panine, Mikhail . . . 39

Panozzo, Daniele . . . 135

Peters, Jorg . . . 151

Ren, Jing . . . 39

Russel, Bryan C. . . 123

Schaefer, Scott . . . 75

Shen, Hanxiao . . . 135

Shoham, Meged . . . 55

Tu, Peihan . . . 109

Ulu, Erva . . . 85

Váša, Libor . . . 175

Vaxman, Amir . . . 55

Wonka, Peter . . . 39

Yan, Zhipei . . . 75

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Novel Algorithms for Reconstructing and Analysing 3D Shapes Daniel Cremers

Technische Universität München

Abstract

The reconstruction and understanding of the 3D world from images is among the central challenges in computer vi- sion. In my presentation, I will describe recent developments in camera-based 3D reconstruction and visual SLAM.

I will emphasize the value of direct methods which do not require feature point estimation, which exploit all avail- able input data and recover dense or semi-dense reconstructions of the world. Moreover, I will introduce techniques for 3D shape analysis with a focus on elastic shape correspondence and interpolation.

Short Biography

Daniel Cremers received a Master’s degree in Theoretical Physics (1997) from the University of Heidelberg and a PhD in Computer Science from the University of Mannheim (2002). He worked a postdoc at the University of Cali- fornia at Los Angeles - UCLA (2002-2004), as a permanent researcher at Siemens Corporate Research in Princeton - NJ (2005), as an associate professor at the University of Bonn (2005-2009), and as chair for Computer Vision and Pattern Recognition at the Technical University - Munich (since 2009). His publications received several awards, including the ’Best Paper of the Year’ (Int. Pattern Recognition Society, 2003), the ’Olympus Award’ (German Soc.

for Pattern Recognition, 2004) and the ’UCLA Chancellor’s Award for Postdoctoral Research’ (2005). He received a ERC Starting Grant (2009), a ERC Proof of Concept Grant (2014) and a ERC Consolidator Grant (2015) by the European Research Council. He served as associate editor for several journals including the International Journal of Computer Vision, the IEEE Transactions on Pattern Analysis and Machine Intelligence and the SIAM Journal of Imaging Sciences, as area chair (associate editor) for ICCV, ECCV, CVPR, ACCV, IROS, etc, and as program chair for ACCV 2014. In 2018 he organized the largest ever European Conference on Computer Vision in Munich, with 3300 delegates. In 2010 he was listed among “Germany’s top 40 researchers below 40” by Capital. In 2016, he received the Gottfried Wilhelm Leibniz Award, the biggest award in German academia. He co-founded several companies, most recently the high-tech startup Artisense.

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Keynote Deep Learning Irregular Data

Yaron Lipman

Weizmann Institute of Science

Abstract

Large part of the recent success of applying neural networks to image data is attributed to the restriction of the networks to translation-invariant functions without compromising their expressive power.

In this talk we discuss how to adapt this basic paradigm of neural networks to irregular data including graphs and hyper-graphs. We characterize the symmetries of irregular data, construct linear layers that respect this symmetry, and discuss expressiveness of the resulting networks. We will conclude by introducing a simple model for learning graph data that has better expressive power than existing graph neural networks.

Short Biography

Yaron Lipman is an associate professor at the Department of Computer Science and Applied Mathematics at the Weizmann Institute of Science, Israel. He did his PhD at Tel Aviv University and spent his postdoc at Princeton University. His research interests are in geometric modeling and processing, shape comparison and analysis, discrete differential geometry, and geometric deep learning. Yaron has received multiple awards for his work, including the Eurographics Young Researcher Award (2009), the Blavatnik Award for Young Scientists from the New-York Academy of Sciences (2010) the ERC Starting Grant (2012), and the ERC Consolidator Grant (2018).

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Can Machines Learn to Generate 3D Shapes?

Hao (Richard) Zhang

Simon Fraser University

Abstract

Computer-aided geometric modeling is about synthesis and creation by computing machinery. Early success has been obtained on training deep neural networks for speech and image syntheses, while similar attempts on learning generative models for 3D shapes are met with difficult challenges. In this talk, I will highlight the representation, data, and output challenges we must tackle and how my research has shaped itself to address them. In particular, I argue that the ultimate goal of 3D shape generation is not for the shapes to look right; they need to serve their intended (e.g., functional) purpose with the right part connection, arrangements, and geometry. Hence, I advocate the use of structural representations of 3D shapes and show our latest work on training machines to learn one such representation and an ensuing generative model. At last, I will venture into creative modeling, perhaps a new territory in machine intelligence and ask: can machines learn to generate creative contents?

Short Biography

Hao (Richard) Zhang is a full professor in the School of Computing Science at Simon Fraser University (SFU), Canada, where he directs the graphics (GrUVi) lab. He has also been a visiting professor at Stanford University (2016-17). Richard obtained his Ph.D. from the University of Toronto, and MMath and BMath degrees from the University of Waterloo. His research is in computer graphics with special interests in geometric modeling, shape analysis, 3D content creation, machine learning, and computational design and fabrication, and he has published more than 120 papers on these topics. Richard served as editor-in-chief for Computer Graphics Forum (2014-18) and is an associate editor for IEEE TVCG and IEEE CG&A. He has served on the program committees of all major computer graphics conferences and is SIGGRAPH Asia 2014 course chair, a paper co-chair for SGP 2013, GI 2015, and CGI 2018, and a program chair for the International Geometry Summit 2019. Richard is an IEEE Senior Member and his awards include an NSERC DAS (Discovery accelerator Supplement) Award in 2014, Best Paper Awards from SGP 2008 and CAD/Graphics 2017, a Faculty of Applied Sciences (FAS) Research Excellence Award at SFU in 2014, and a National Science Foundation of China (NSFC) Overseas Outstanding Young Researcher Award in 2015.

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Keynote Graphs in Nature

David Eppstein

University of California

Abstract

Many natural processes produce planar structures that can be modeled mathematically as graphs. These include cracking of sheets of glass or mud, the growth of needle-like crystals, foams of soap bubbles, and the folding patterns of crumpled paper. We survey graph-theoretic models for these phenomena, the properties of the graphs arising from them, and algorithms for recognizing these graphs and reconstructing their geometry.

Short Biography

Professor David Eppstein is Chancellor’s Professor of Computer Science at the University of California, Irvine, where he has taught since 1990. He has degrees from Stanford University and Columbia University, and is a fellow of the ACM and the American Association for the Advancement of Science. His research interests include discrete and computational geometry, graph algorithms, data structures, and information visualization. He has published over 350 journal articles and refereed conference proceedings papers, two books, and six edited volumes.

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