Recovery of Parametric Models from Range Images: The Case for Superquadrics with Global Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Closed-Form Solutions for Physically Based Shape Modeling and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
From Uncertainty to Visual Exploration
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
3-D Shape Recovery Using Distributed Aspect Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Recognizing geons from superquadratics fitted to range data
Image and Vision Computing - Special issue: range image understanding
Volumetric segmentation of range images of 3D objects using superquadric models
CVGIP: Image Understanding
Describing Complicated Objects by Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
Obtaining generic parts from range images using a multi-view representation
CVGIP: Image Understanding
Integrating qualitative and quantitative shape recovery
International Journal of Computer Vision
Generic Object Recognition: Building and Matching Coarse Descriptions from Line Drawings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Registering Multiview Range Data to Create 3D Computer Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Recovering Hyperquadrics from Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
3D part segmentation: a new physics-based approach
ISCV '95 Proceedings of the International Symposium on Computer Vision
3D object representation using parametric geons
3D object representation using parametric geons
Computing parametric geon descriptions of 3d multi-part objects
Computing parametric geon descriptions of 3d multi-part objects
Superquadrics and Angle-Preserving Transformations
IEEE Computer Graphics and Applications
Very fast simulated re-annealing
Mathematical and Computer Modelling: An International Journal
2D geon based generic object recognition
MM '11 Proceedings of the 19th ACM international conference on Multimedia
Data mining and knowledge discovery via statistical mechanics in nonlinear stochastic systems
Mathematical and Computer Modelling: An International Journal
Statistical mechanics of financial markets: Exponential modifications to Black-Scholes
Mathematical and Computer Modelling: An International Journal
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This paper presents a new approach to 3D shape representation - approximating the shapes of object parts by a set of prescribed volumetric models using single- and multi-view range data. We define a new set of volumetric part models, called parametric geons. These are seven qualitative shapes, each of which is formulated by a restricted globally-deformed superellipsoid. Model recovery is performed by fitting all parametric geons to a part and selecting the best model for the part based on the minimum fitting residual. A newly-defined objective function and a fast global optimisation technique are employed to obtain robust model fitting results. Parametric geons provide a global shape constraint that allows model recovery to explicitly verify the resultant part descriptions. Through systematic experiments, we examine the efficiency of the objective function, the discriminative ability of parametric geons, the effects of object shape imperfection to model recovery, and the importance of multiview data for shape approximation. The experimental results demonstrate that this approach can successfully recover qualitative shape models from object parts, especially when a part shape is not fully consistent with model shapes.