Joint Graph Layouts for Visualizing Collections of Segmented Meshes

Jing Ren (1) , Jens Schneider (1) , Maks Ovsjanikov (2) , Peter Wonka (1)

1 KAUST - King Abdullah University of Science and Technology [Saudi Arabia]
2 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

—We present a novel and efficient approach for computing joint graph layouts and then use it to visualize collections of segmented meshes. Our joint graph layout algorithm takes as input the adjacency matrices for a set of graphs along with partial, possibly soft, correspondences between nodes of different graphs. We then use a two stage procedure, where in the first step, we extend spectral graph drawing to include a consistency term so that a collection of graphs can be handled jointly. Our second step extends metric multi-dimensional scaling with stress majorization to the joint layout setting, while using the output of the spectral approach as initialization. Further, we discuss a user interface for exploring a collection of graphs. Finally, we show multiple example visualizations of graphs stemming from collections of segmented meshes and we present qualitative and quantitative comparisons with previous work.

Mots clés: Index Terms—Multi-graph layout; spectral graph layout; multi-dimensional scaling; topological exploration

Domaines: Vision par ordinateur et reconnaissance de formes [cs.CV]

Jing Ren, Jens Schneider, Maks Ovsjanikov, Peter Wonka. Joint Graph Layouts for Visualizing Collections of Segmented Meshes. IEEE Transactions on Visualization and Computer Graphics, 2017. ⟨hal-01741761⟩