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Extending Superquadrics with Exponent Functions: Modeling and Reconstruction (2000)  (Make Corrections)  (4 citations)
Lin Zhou, Chandra Kambhamettu
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Abstract: this paper, we present a novel approach, which is called extended superquadric, to extend superquadric's representation power with exponent functions. An extended superquadric model can be deformed in any direction because it extends the exponents of superquadrics from constants to functions of the latitude and longitude angles in the spherical coordinate system. Thus, extended superquadrics can model more complex shapes than superquadrics. It also maintains many desired properties of... (Update)

Context of citations to this paper:   More

...for recovering 3D models. However, their intrinsical symmetry fails in modeling many real world objects including human faces. Zhou et al. [13] extended superquadrics with exponent functions, thus improving their ability to model more complex objects including the face....

...recognition. In this paper, a new approach called extended superquadric, is proposed to extend superquadrics with exponent functions [32]. Extended superquadrics can model nonsymmetrical objects because they extend the exponents of superquadrics to functions of latitude...

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Representing and Recognizing Complete Set of Geons Using.. - Superquadrics Lin Zhou   (Correct)
Extending Superquadrics with Exponent Functions: Modeling.. - Zhou, Kambhamettu (2000)   (Correct)
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BibTeX entry:   (Update)

L. Zhou and C. Kambhamettu. Extending superquadrics with exponent functions: Modeling and reconstruction. In http://citeseer.ist.psu.edu/zhou00extending.html   More

@article{ zhou01extending,
    author = "Lin Zhou and Chandra Kambhamettu",
    title = "Extending Superquadrics with Exponent Functions: Modeling and Reconstruction",
    journal = "Graphical models",
    volume = "63",
    number = "1",
    pages = "1--20",
    year = "2001",
    url = "citeseer.ist.psu.edu/zhou00extending.html" }
Citations (may not include all citations):
227   Recognition-by-components: A theory of human image understan.. (context) - Biederman - 1987
160   Global and local deformations of solid primitives (context) - Barr - 1984
149   models with local and global deformations: Deformable superq.. (context) - Terzopoulos, Metaxas - 1991
124   Recovery of parametric models from range images: The case fo.. - Solina, Bajcsy - 1990
113   Shape and nonrigid motion estimation through physics-based s.. (context) - Metaxas, Terzopoulos
96   Visual perception by computer (context) - Binford - 1971
85   Perceptual organization and the representation of natural fo.. (context) - Pentland - 1986
63   Recognition by parts (context) - Pentland - 1987
45   Describing complicated objects by implicit polynomials (context) - Keren, Cooper et al. - 1994
45   Generic object recognition: Building and matching coarse des.. (context) - Bergevin, Levine - 1993
43   Superquadrics and angle preserving transformations (context) - Barr - 1981
42   Recognizing geons from superquadrics fitted to range data (context) - Raja, Jain - 1992
36   Physics-Based Deformable Models: Application to Computer Vis.. (context) - Metaxas - 1997
24   Constrained deformable superquadrics and nonrigid motion tra.. (context) - Metaxas, Terzopoulos - 1991
23   Integrating qualitative and quantitative shape recovery - Dickinson, Metaxas - 1994
23   Deformable models with parameter functions: Application to h.. (context) - Park, Metaxas et al. - 1994
18   On recovering hyperquadrics from range data (context) - Kumar, Han et al. - 1995
15   Using hyperquadrics for shape recovery from range data (context) - Han, Goldgof et al. - 1993
13   Hyperquadrics: Smoothly deformable shapes with convex polyhe.. (context) - Hanson - 1988
9   Superquadrics for segmenting and modeling range data - Leonardis, Jaklic et al. - 1997
7   Recovery of superquadrics from 3-D information (context) - Boult, Gross - 1987
5   and superquadrics (context) - Ferrie, Lagarde et al. - 1993
5   Blended deformable models (context) - DeCarlo, Metaxas - 1996
4   Extending superquadrics with exponent functions: Modeling an.. - Zhou, Kambhamettu - 1999
4   head tracking under partial occlusion (context) - Zhang, Kambhamettu - 2000
3   The superellipse: A curve between the ellipse and the rectan.. (context) - Gardiner - 1965
3   Hierarchical structure and nonrigid motion recovery from 2D .. - Zhou, Kambhamettu - 2000
2   Surface and Volumetric Segmentation of Complex 3D Objects Us.. (context) - Gupta - 1991
2   Superquadric-based scene description (context) - Zhang, Yuan - 1993
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2   Generic part modeling for computer vision (context) - Zhang, Yuan - 1993
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