K. Wu, & Levine, M.D., "Parametric Geons: A discrete set of shapes with parameterized attributes." SPIE International Symposium on Optical Engineering and Photonics in Aerospace Sensing: Visual Information Processing III, Vol. 2239. Orlando, FL, 1994, pp. 14-26, The International Society for Optical Engineering. Home/Search Document Details and Download
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Modelling Visual Complexity Using Geometric Primitives. - Patel, Holt (2000) (1 citation) (Correct)
.... 1985, significant computational efforts have been made to create quantifiable geon based descriptions of 3D objects [9, 25] Dickinson and Metaxas [10] used qualitative, followed by quantitative, methods to recover ten geon models from both intensity images [9] and range data [10] Wu Levine [26] defined seven parametric geons as explicit shape constraints, thereby enabling shape verification by directly comparing the goodness of fit between the seven geons and the part shape. These methods incorporated quantification of the object parts but omitted characteristics that precluded some ....
K. Wu, & Levine, M.D., "Parametric Geons: A discrete set of shapes with parameterized attributes." SPIE International Symposium on Optical Engineering and Photonics in Aerospace Sensing: Visual Information Processing III, Vol. 2239. Orlando, FL, 1994, pp. 14-26, The International Society for Optical Engineering.
Recovering Parametric Geons from Multiview Range Data - Wu, Levine (1994) (31 citations) Self-citation (Levine) (Correct)
....perfect geon like objects [3, 8] that is, the shape of their components was assumed to be exactly the same as the shape of the perfect geons. The problem of shape approximation was not addressed. We have proposed a new set of volumetric models, parametric geons, as a qualitative shape description [19]. Unlike generalized cones which parameterize attributes of volumes [6] parametric geons are a set of distinctive shapes defined by implicit equations. The major difference between parametric and conventional geons is that the former are characterized by global shape constraints which explicitly ....
....1 = 0:1 for a cylinder, based on computational robustness and the perceptual acceptance of its shape. The same reasoning applies to the cuboid. 2 transpose of the Jacobian matrix of the deformation function. The details of the parametric geon equations and those for the normals are described in [19]. 3 Model recovery 3.1 The Objective function In this paper, the procedure for parametric geon recovery is: i) fit models to 3D object data by minimizing an objective function and (ii) select the best model according to the minimum residual. The objective functions for fitting parametric ....
K. Wu and M. D. Levine. Parametric geons: A discrete set of shapes with parameterized attributes. In SPIE International Symposium on Optical Engineering and Photonics in Aerospace Sensing: Visual Information Processing III, Orlando, FL, April 1994. The International Society for Optical Engineering.
Segmenting 3D Objects into Geons - Wu, Levine Self-citation (Levine) (Correct)
....model [26, 32] and then classified its shape by comparing the object s superellipsoid parameters with a database of geon parameter models. However, these superellipsoid parameters are very sensitive to even minor shape variations. By comparison, we have defined only seven parametric geon models [35]. We characterize object shape by fitting all of the models to multiview range data and classifying the fitting residuals [36, 37] This method uses parametric geons as explicit shape constraints, thereby enabling shape verification by directly comparing the goodness of fit between the seven geons ....
....disconnected subgraphs, as shown in Fig. 5. Physically the object has been broken into parts. Each subgraph represents one part of the object which is ready for geon identification. 3 Geon Identification This section is an overview of our work on parametric geon recovery. Details can be found in [35, 36, 37]. Motivated by the art of sculpture, we have defined seven parametric geons (see Fig. 6) These shapes are commonly used by sculptors as basic volumetric shapes. They are regular, simple, symmetrical, distinctive and can be expressed by compact analytic functions. Defined by f(x; a i ) 0; i = ....
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K. Wu and M. D. Levine. Parametric geons: A discrete set of shapes with parameterized attributes. In SPIE International Symposium on Optical Engineering and Photonics in Aerospace Sensing: Visual Information Processing III, volume 2239, pages 14--26, Orlando, FL, April 1994. The International Society for Optical Engineering.
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