Polygonal Meshes. Thomas Funkhouser Princeton University COS 526, Fall 2016
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1 Polygonal Meshes Thomas Funkhouser Princeton University COS 526, Fall 2016
2 Digital Geometry Processing Processing of 3D surfaces Creation, acquisition Storage, transmission Editing, animation, simulation Manufacture Analysis Applications Movies, games Computer-aided design Medicine, biology Art, history All fields with 3D data Sweldens
3 Digital Geometry Processing Many possible surface representations Polygonal meshes Parametric surfaces Subdivision surfaces Implicit surfaces etc.
4 Digital Geometry Processing Let s focus on 3D polygonal meshes Simple, common representation Rendering with hardware support Output of many acquisition tools Input to many simulation/analysis tools Stanford Graphics Lab
5 3D Polygonal Meshes Set of polygonal faces representing a 2D surface embedded in 3D Zorin & Schroeder, SIGGRAPH 99, Course Notes
6 3D Polygonal Meshes Set of polygonal faces representing a 2D surface embedded in 3D Edge Face Vertex Zorin & Schroeder, SIGGRAPH 99, Course Notes
7 Outline Acquisition Processing Analysis
8 Outline Acquisition Processing Analysis
9 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes
10 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes Sketchup Blender
11 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Princeton Shape Benchmark Simulations Physical processes
12 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes Digital Michelangelo Project Stanford
13 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes Large Geometric Model Repository Georgia Tech
14 Polygonal Mesh Acquisition Interactive modeling Polygon editors Interchange formats Scanners Laser range scanners CAT, MRI, etc. (isosurfaces) Simulations Physical processes MIT
15 Outline Acquisition Processing Analysis
16 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion
17 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Lossy Compression (Simplification) Garland
18 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion
19 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Sheffer
20 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Sheffer
21 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Novatnek et al.
22 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Katz & Tal
23 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Smoothing Sharpening Desbrun
24 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Sheffer
25 Polygonal Mesh Processing Storage Compression Transmission Analysis Parameterization Differential geometry Feature detection Segmentation Editing Smoothing, sharpening, etc. Deformation Completion Podolak
26 Outline Acquisition Processing Analysis
27 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality
28 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Schelling Points How can we find significant geometric features robustly?
29 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Input Mesh Skeletal Graph How can we decompose a 3D model into its parts?
30 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Engine Fuselage Semantic Labels Images courtesy of Ayellet Tal, Technion & Princeton University Engine Wing Wing (Golovinskiy, Lee, et al.) How can we decompose a 3D model into its parts?
31 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Images courtesy of Emil Praun How can we align features of 3D models?
32 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality How can we compute a measure of geometric similarity?
33 Written Exercise 3
34 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Harmonic Shape Descriptors How can we find similar 3D shapes in a database?
35 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Images courtesy of Florida State Univ. How can we find a given 3D model in a large database?
36 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Query Images courtesy of Darpa E3D Project Classes How can we determine the class of a 3D model?
37 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Images courtesy of Viewpoint How can we learn classes of 3D models automatically?
38 Mesh Analysis Examples: Feature detection Segmentation Labeling Registration Matching Retrieval Recognition Classification Clustering Functionality Can we predict how an object might be used?
39 Programming Assignment 3
40 Upcoming Lectures Mesh representation Mesh processing Mesh analysis
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