Embedding 3D Adjacency Graph into 2D Space via Spectral Layout
Accelerate 3D Object Processing via Spectral Layout
We propose to embed the essential information in a 3d object into 2d space via spectral layout.Specifically, we construct a 3d adjacency graph to capture spatial structure of the 3d voxelgrid.Then we calculate the eigenvectors corresponding to the second and thirdsmallest eigenvalues of its graph laplacian and perform spectral layout to map each voxel into a pixel in 2d cartesian coordinate plane.The proposed method can achieve high quality 2d representations for 3d objects, which enables to use 2d-based methods to process 3d objects.The experimental results demonstrate the effectiveness and efficiency of our method.
