CreativeAI 3D (Geometric) Domain Niloy Mitra Iasonas Kokkinos - PowerPoint PPT Presentation

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Data Representation .. Many Possibilities! points �8

Data Representation .. Many Possibilities! points voxels cells patches �8

Challenges �9

Challenges 1. Representation   �9

Challenges 1. Representation   2. Neighborhood information • who are the neighbouring elements • how are the elements ordered   �9

Challenges 1. Representation   2. Neighborhood information • who are the neighbouring elements • how are the elements ordered   3. Extrinsic versus intrinsic representation   �9

Challenges 1. Representation   2. Neighborhood information • who are the neighbouring elements • how are the elements ordered   3. Extrinsic versus intrinsic representation   4. Simplicity versus memory/runtime tradeoff �9

Representation for 3D • Image-based   • Volumetric   • Surface-based   • Point-based �10

Representation for 3D: Multi-view CNN [Kalogerakis et al. 2015] �12

Representation for 3D: Multi-view CNN regular image analysis networks [Kalogerakis et al. 2015] �12

3DMV: Joint 3D-Multi-View Prediction for 3D Semantic Scene Segmentation �13

Integrating View Information �14

Representation for 3D: Local Multi-view CNN [Huang et al. 2018] �15

Representation for 3D: Local Multi-view CNN Segmentation Correspondence Feature matching Predicting semantic functions [Huang et al. 2018] �15

Representation for 3D: Local Multi-view CNN Segmentation Correspondence Feature matching Predicting semantic functions [Huang et al. 2018] localized renderings for point-wise features �15

Tangent Convolutions loses information due to occlusion [Tatarchenko et al. 2018] �16

Tangent Convolutions loses information due to occlusion project to local patches   (contrast with PCPNet construction) [Tatarchenko et al. 2018] �16

Dealing with Sparse Points �17

Dealing with Sparse Points �18

Improved Performance �19

Representation for 3D • Image-based • PROS: directly use image networks, good performance • CONS: rendering is slow and memory-heavy, not very geometric • Volumetric   • Point-based   • Surface-based �20

3D CNNs : Direct Approach [Xiao et al. 2014] �22

VoxNet [Maturana et al. 15] ▸ Binary occupancy, density grid, etc. rotational invariance �23

Visualization of First Level Filters �24

Representation for 3D: Volumetric Deformation [Yumer and Mitra 2016] �25

Efficient Volumetric Datastructures [Wang et al. 2017] �26

Data Structure and CNN Operations shuffled keys labels downsampling example (encode position in space) (parent label → child indices) ( “where there is an octant, there is CNN computation” ) faster neighbor access �27

Efficient Volumetric Datastructures Encoder Decoder/generator Wang et al. 2017 only generate non-empty voxels [Hane et al. 2018] �28

Efficient Volumetric Datastructures [Hane et al. 2018] �29

Lower Memory Footprint �30

Adaptive O-CNN [Wang et al. 2018] image to planar patch-based shapes

First-order Patches OCNN Adaptive OCNN �32

Field Probing Neural Networks for 3D Data [Li et al. 2016] �33

Spatial Probes �34

Method Details �35

Representation for 3D • Image-based   • Volumetric • PROS: adaptations of image networks • CONS: special layers for hierarchical datastructures, still too coarse   • Surface-based   • Point-based �36

Local/Global Parameterizations �38

Local/Global Parameterizations Geometry Image [Sinha et al. 2016] �38

Local/Global Parameterizations Geometry Image Metric Alignment (GWCNN) [Sinha et al. 2016] [Ezuz et al. 2017] �38

Shape Surfaces using Geometry Images �39

Using Geodesic Patches: GCNN [Masci et al. 2015] �40

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GCNN Architecture �41

Handling Rotational Ambiguity �42

Parameterization for Surface Analysis map 3D surface to 2D domain [Maron et al. 2017] �43

Parameterization for Surface Analysis [Maron et al. 2017] �44

Parameterization for Surface Analysis • Map 3D surface to 2D domain   • One such mapping: flat torus (seamless => translation-invariant)   • Many mappings exists: sample a few and average result   • Which functions to map?   XYZ, normals, curvature, … [Maron et al. 2017] �45

Parameterization for Surface Analysis [Maron et al. 2017] �46

Texture Transfer (Parameterization + Alignment) [Wang et al. 2016] �47

AtlasNet for Surface Generation condition decoded points on 2D patches [Groueix et al. 2018] �48

AtlasNet for Surface Generation Latent representation can be inferred from images or point clouds [Groueix et al. 2018] �49

AtlasNet for Surface Generation Quad Mesh is generated by mapping a regular grid in 2D domain to 3D points Latent representation can be inferred from images or point clouds [Groueix et al. 2018] �50

AtlasNet for Surface Generation texture coordinates come for free!! Latent representation can be inferred from images or point clouds �51

Representation for 3D • Image-based   • Volumetric   • Surface-based • PROS: parameterize + image networks (instrinsic representation) • CONS: suffers from parameterisation artefacts (local versus global distortion),   requires good quality mesh   • Point-based �52

Representation for 3D: Point-based • Common representation: native representation   • Easy to obtain from meshes, depth scans, laser scans �54

In Original Representation • Common representation   • Easy to obtain from meshes, depth scans, laser scans   • Unstructured (e.g., any permutation of points gives same shape!) [Qi et al. 2017] �55

PointNet for Point Cloud Analysis permutation-invariant functions [Qi et al. 2017] �56

PointNet for Point Cloud Analysis Use MLPs (h) and max-pooling (g) as simple symmetric functions [Qi et al. 2017] �57

PointNet Architecture [Qi et al. 2017] �58

PointNet for Point Cloud Analysis �59

PointNet++ [Qi et al. 2018] �60

PCPNet for Local Point Cloud Analysis [Guerrero et al. 2018] �61

CreativeAI 3D (Geometric) Domain Niloy Mitra Iasonas Kokkinos - PowerPoint PPT Presentation

CreativeAI 3D (Geometric) Domain Niloy Mitra Iasonas Kokkinos Paul Guerrero Nils Thuerey Tobias Ritschel UCL UCL UCL TUM UCL Timetable Niloy Paul Nils Introduction 2:15 pm X X X 2:25 pm X Machine Learning Basics Theory

Chapter 8 Binomial and Geometric Distribu7ons 8.2 Geometric

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Yowzer! Theyre electrifying! I hate my job Geometric Algorithms 1 Basic Geometric Objects

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Subdivision Surfaces 1 Geometric Modeling Geometric Modeling Sometimes need more than

Subdivision Surfaces 1 Geometric Modeling Geometric Modeling Sometimes need more than

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Geometric Integration Integration Lotka-Volterra Poisson Integrator and the Parareal Algorithm

Batched Dynamic Geometric Problems Jeff Vitter Duke University Center for Geometric and

Domain-independent planning and Domain-dependent planning Le Meilleur est lennemi

Koszul Duality and Geometric Satake for SL 2 ( R ) Oliver Straser Annual conference of the DFG

Focusing the Core Domain Model A Domain-Driven Design Case Study, Eric Evans, Domain Language

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ET-805 ATS Domain Module - II Ramkumar.Rajendran@iitb.ac.in From Last Class Blackbox Domain

CreativeAI 3D (Geometric) Domain Niloy Mitra Iasonas Kokkinos - PowerPoint PPT Presentation

CreativeAI 3D (Geometric) Domain Niloy Mitra Iasonas Kokkinos Paul Guerrero Nils Thuerey Tobias Ritschel UCL UCL UCL TUM UCL Timetable Niloy Paul Nils Introduction 2:15 pm X X X 2:25 pm X Machine Learning Basics Theory

Chapter 8 Binomial and Geometric Distribu7ons 8.2 Geometric

Common Architecture Elements SIGGRAPH Asia Course CreativeAI: Deep Learning for Graphics 1

Geometric Optimization Piotr Indyk April 26, 2005 Lecture 19: Geometric Optimization Geometric

Geometric Representations 3D Graphics Motivation Geometric representation What do we want

2D Geometric Transformations Question : How do we represent a geometric object in the plane?

Geometric Modeling An Example 2 Geomertic Modeling I - Center for Graphics and Geometric

PDE-based Geometric Modeling and Interactive Sculpting for Graphics Hong Qin Center for Visual

y TtEnheints orientation note from Htt on 2T outward normals Def a geometric ideal

Geometric Algebra A powerful tool for solving geometric problems in visual computing Leandro A.

EXAMPLES OF FOUR-DIMENSIONAL GEOMETRIC TRANSITION Joint with S. Riolo Fribourg, 8th May 2019 W

Yowzer! Theyre electrifying! I hate my job Geometric Algorithms 1 Basic Geometric Objects

Geometric Graphs Sathish Govindarajan Indian Institute of Science, Bangalore Workshop on

Lecture 8 : The Geometric Distribution 0/ 24 The geometric distribution is a special case of

Subdivision Surfaces 1 Geometric Modeling Geometric Modeling Sometimes need more than

Subdivision Surfaces 1 Geometric Modeling Geometric Modeling Sometimes need more than

The Geometric Burnsides Problem Brandon Seward University of Michigan Geometric and

Matrices and Vectors: Geometric Insight Marco Chiarandini Department of Mathematics &amp;

Geometric Integration Integration Lotka-Volterra Poisson Integrator and the Parareal Algorithm

Batched Dynamic Geometric Problems Jeff Vitter Duke University Center for Geometric and

Domain-independent planning and Domain-dependent planning Le Meilleur est lennemi

Koszul Duality and Geometric Satake for SL 2 ( R ) Oliver Straser Annual conference of the DFG

Focusing the Core Domain Model A Domain-Driven Design Case Study, Eric Evans, Domain Language

Image Processing A case study for a domain decomposed MPI code Domain Decomposition 1

ET-805 ATS Domain Module - II Ramkumar.Rajendran@iitb.ac.in From Last Class Blackbox Domain

Matrices and Vectors: Geometric Insight Marco Chiarandini Department of Mathematics &