2019 · 95 citations · 31 references
ComputingVisualization3D ModelingComputational GeometryComputer Vision3D ReconstructionGeometry ProcessingMesh GenerationMesh ModelingSolid ModelingSurface Reconstruction3D Shape ReconstructionGenerative GeometryGraph Neural NetworksMesh ReconstructionMesh RepresentationMesh Synthesis
We introduce Scan2Mesh, a novel data-driven generative approach which transforms an unstructured and potentially incomplete range scan into a structured 3D mesh representation. The main contribution of this work is a generative neural network architecture whose input is a range scan of a 3D object and whose output is an indexed face set conditioned on the input scan. In order to generate a 3D mesh as a set of vertices and face indices, the generative model builds on a series of proxy losses for vertices, edges, and faces. At each stage, we realize a one-to-one discrete mapping between the predicted and ground truth data points with a combination of convolutional- and graph neural network architectures. This enables our algorithm to predict a compact mesh representation similar to those created through manual artist effort using 3D modeling software. Our generated mesh results thus produce sharper, cleaner meshes with a fundamentally different structure from those generated through implicit functions, a first step in bridging the gap towards artist-created CAD models.
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Adam: A Method for Stochastic Optimization
Diederik P. Kingma, Jimmy Ba · UvA-DARE (University of Amsterdam) · 2014 · 84.8K citations · Full text
The Hungarian method for the assignment problem
Harold W. Kuhn · Naval Research Logistics Quarterly · 1955 · 12.6K citations
Marching cubes: A high resolution 3D surface construction algorithm
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Computing, Radiology, Visualization +17
PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation
Raffaelli Charles, Hao Su, Kaichun Mo et al. · 2017 · 9.8K citations
The Graph Neural Network Model
Franco Scarselli, M. Gori, Ah Chung Tsoi et al. · IEEE Transactions on Neural Networks · 2008 · 9.3K citations · Full text