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Dey T.K., Giesen J., Goswami S., Zhao W.: Shape dimension and approximation from samples. In Proc. 13th ACMSIAM symposium on Discrete algorithms (2002), pp. 772--780. 2, 3

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Moving Least Squares Multiresolution Surface Approximation - Mederos, Velho, de.. (2003)   (1 citation)  (Correct)

....of lfs(x) local feature size of x) as the distance of x to the medial axis of the surface S and also define the concept of r sample: Definition 1 (Amenta et al. 4] The set F S is a r sample if for each p 9 in F then B(p, r #= #. We will use a different sampling criterium, see [14] Definition 2 (Dey et al. 14] The set F S is a #, r sample # 1 if the following two condition are valid: i) For all x S B(x, r lfs(x) #= #. ii) For all p F B(p, F = p . The Voronoi diagram of a set of samples F S induce a decomposition in the surface named the ....

....size of x) as the distance of x to the medial axis of the surface S and also define the concept of r sample: Definition 1 (Amenta et al. 4] The set F S is a r sample if for each p 9 in F then B(p, r #= #. We will use a different sampling criterium, see [14] Definition 2 (Dey et al. [14]. The set F S is a #, r sample # 1 if the following two condition are valid: i) For all x S B(x, r lfs(x) #= #. ii) For all p F B(p, F = p . The Voronoi diagram of a set of samples F S induce a decomposition in the surface named the restricted Voronoi diagram. Given ....

T. K. Dey, J. Giesen, S. Goswami, W. Zhao. Shape dimension and approximation from samples. Discrete and Computational Geometry 29(3):419-434, 2003.


Bounds on k-Neighborhood for Locally Uniformly Sampled .. - Andersson, Giesen.. (2004)   (1 citation)  Self-citation (Giesen)   (Correct)

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Dey T.K., Giesen J., Goswami S., Zhao W.: Shape dimension and approximation from samples. In Proc. 13th ACMSIAM symposium on Discrete algorithms (2002), pp. 772--780. 2, 3


Curve and Surface Reconstruction - Dey (2004)   (1 citation)  Self-citation (Dey)   (Correct)

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T. K. Dey, J. Giesen, S. Goswami and W. Zhao. Shape dimension and approximation from samples. In Proc. 13th Ann. ACM-SIAM Sympos. Discr. Algorithms, pages 772{ 780, 2002.


Smooth Surface Reconstruction from Noisy Clouds - Mederos, Velho, de Figueiredo   (Correct)

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Dey T. K., Giesen J., Goswami S., Zhao W.: Shape dimension and approximation from samples. Discrete and Computational Geometry 29(3):419--434, 2003. 5


On Sampling and Reconstructing Surfaces with Boundaries - Gopi (2002)   (Correct)

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Tamal K. Dey, J. Giesen, S. Goswami and W. Zhao. Shape dimension and approximation from samples. Proc. 13th ACMSIAM Sympos. Discrete Algorithms, 2002, 772--780.

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