Probabilistic reasoning for assembly-based 3D modeling

Assembly-based modeling is a promising approach to broadening the accessibility of 3D modeling. In assembly-based modeling, new models are assembled from shape components extracted from a database. A key challenge in assembly-based modeling is the identification of relevant components to be presented to the user. In this paper, we introduce a probabilistic reasoning approach to this problem. Given a repository of shapes, our approach learns a probabilistic graphical model that encodes semantic and geometric relationships among shape components. The probabilistic model is used to present components that are semantically and stylistically compatible with the 3D model that is being assembled. Our experiments indicate that the probabilistic model increases the relevance of presented components.

[1]  Marc Alexa,et al.  A sketch-based interface for detail-preserving mesh editing , 2005, SIGGRAPH 2005.

[2]  Evangelos Kalogerakis,et al.  Folding meshes: hierarchical mesh segmentation based on planar symmetry , 2006, SGP '06.

[3]  Alla Sheffer,et al.  Model Composition from Interchangeable Components , 2007 .

[4]  Nir Friedman,et al.  Probabilistic Graphical Models - Principles and Techniques , 2009 .

[5]  Vladlen Koltun,et al.  Computer-generated residential building layouts , 2010, SIGGRAPH 2010.

[6]  Daniel Cohen-Or,et al.  SnapPaste: an interactive technique for easy mesh composition , 2006, The Visual Computer.

[7]  Kuo-Chu Chang,et al.  Weighing and Integrating Evidence for Stochastic Simulation in Bayesian Networks , 2013, UAI.

[8]  Antonio Torralba,et al.  Sharing Visual Features for Multiclass and Multiview Object Detection , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  T. Funkhouser,et al.  A planar-reflective symmetry transform for 3D shapes , 2006, SIGGRAPH '06.

[10]  Judea Pearl,et al.  Chapter 2 – BAYESIAN INFERENCE , 1988 .

[11]  Brendan J. Frey,et al.  A Revolution: Belief Propagation in Graphs with Cycles , 1997, NIPS.

[12]  Pat Hanrahan,et al.  Exploratory modeling with collaborative design spaces , 2009, SIGGRAPH 2009.

[13]  Szymon Rusinkiewicz,et al.  Modeling by example , 2004, SIGGRAPH 2004.

[14]  Jitendra Malik,et al.  Shape contexts enable efficient retrieval of similar shapes , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[15]  Thomas A. Funkhouser,et al.  Consistent segmentation of 3D models , 2009, Comput. Graph..

[16]  James F. O'Brien,et al.  Interpolating and approximating implicit surfaces from polygon soup , 2005, SIGGRAPH 2005.

[17]  Aaron Hertzmann,et al.  Learning 3D mesh segmentation and labeling , 2010, SIGGRAPH 2010.

[18]  Pat Hanrahan,et al.  Context-based search for 3D models , 2010, SIGGRAPH 2010.

[19]  Thomas A. Funkhouser,et al.  Sketch-based search and composition of 3D models , 2008, SBM'08.

[20]  Daniel Cohen-Or,et al.  Contextual Part Analogies in 3D Objects , 2010, International Journal of Computer Vision.

[21]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[22]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[23]  Takeo Igarashi,et al.  Magic canvas: interactive design of a 3-D scene prototype from freehand sketches , 2007, GI '07.