Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/336154.336193acmconferencesArticle/Chapter ViewAbstractPublication PagessocgConference Proceedingsconference-collections
Article
Free access

Accurate and efficient unions of balls

Published: 01 May 2000 Publication History
First page of PDF

References

[1]
N. Amenta and M. Bern. Surface reconstruction by Voronoi filtering. Discrete and Computational Geometry 22, pp. 481-504, (1999).
[2]
D. Attali and A. Montanvert. Computing and Simplifying 2D and 3D Continuous Skeletons, Computer Vision and Image Understanding, 67(3) (1997), pp. 261-273.
[3]
S-W. Cheng, H. Edelsbrunner, P. Fu, and K-P. Lam. Design and analysis of planar shape deformation Proceedings of the l~th Annual A CM Symposium on Computational Geometry pp. 29- 38, (1998).
[4]
H.I. Choi, S.W. Choi and H.P. Moon. Mathematical theory of medial axis transform, Pacific Journal of Mathematics 181(1), pp. 57-88, (1997).
[5]
T. Culver, J. Keyser, and D. Manocha. Accurate computation of the medial axis of a polyhedron, UNC Technical Report TR98-038. Appeared in Proc. A CM Solid Modeling, 1999.
[6]
H. Edelsbrunner. The union of balls and its dual shape, Proceedings of the 9th Annual A CM Symposium on Computational Geometry, pp, 218- 231, (1993).
[7]
J. Goldak, X. Yu, A. Knight, and L. Dong. Constructing discrete medial axis of 3-D objects. Int. J. Computational Geometry and its Applications 1 (1991) 327-339.
[8]
P. Hubbard. Approximating polyhedra with spheres for time-critical collision detection, A CM Transactions on Graphics, 15(3), pp. 179-210, (1996).
[9]
V. Ranjan and A. Fournier. Matching and Interpolation of Shapes using Unions of Circles, Computer Graphics Forum, 15(3), pp. 129-142, (1996).
[10]
D. Sheehy, C. Armstrong and D. Robinson. Shape description by medial axis construction, IEEE Transactions on Visualzation and Computer Graphics, 2(1), pp. 62-72, (1996).
[11]
M. Teichman and S. Teller. Assisted Articulation of Closed Polygonal Models, Proc. 9th Eurographics Workshop on Animation and Simulation, (1998).

Cited By

View all
  • (2022)A Voronoi diagram based framework for fast and accurate evaluation of 2D free-form profile errorsProceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture10.1177/09544054221138173237:13(2160-2175)Online publication date: 25-Nov-2022
  • (2022)A 3D Voronoi diagram based form error estimation method for fast and accurate inspection of free-form surfacesMeasurement10.1016/j.measurement.2021.110476189(110476)Online publication date: Feb-2022
  • (2019)($$\delta ,{\varepsilon }$$?,?)-Ball Approximation of a ShapeDiscrete & Computational Geometry10.1007/s00454-018-0019-861:3(595-625)Online publication date: 1-Apr-2019
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences
SCG '00: Proceedings of the sixteenth annual symposium on Computational geometry
May 2000
379 pages
ISBN:1581132247
DOI:10.1145/336154
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 May 2000

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Article

Conference

SoCG00
SoCG00: The 16th Annual ACM Symposium on Computational Geometry
June 12 - 14, 2000
Kowloon, Clear Water Bay, Hong Kong

Acceptance Rates

SCG '00 Paper Acceptance Rate 41 of 123 submissions, 33%;
Overall Acceptance Rate 625 of 1,685 submissions, 37%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)31
  • Downloads (Last 6 weeks)8
Reflects downloads up to 22 Sep 2024

Other Metrics

Citations

Cited By

View all
  • (2022)A Voronoi diagram based framework for fast and accurate evaluation of 2D free-form profile errorsProceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture10.1177/09544054221138173237:13(2160-2175)Online publication date: 25-Nov-2022
  • (2022)A 3D Voronoi diagram based form error estimation method for fast and accurate inspection of free-form surfacesMeasurement10.1016/j.measurement.2021.110476189(110476)Online publication date: Feb-2022
  • (2019)($$\delta ,{\varepsilon }$$?,?)-Ball Approximation of a ShapeDiscrete & Computational Geometry10.1007/s00454-018-0019-861:3(595-625)Online publication date: 1-Apr-2019
  • (2014)Greedy Geometric Algorithms for Collection of Balls, with Applications to Geometric Approximation and Molecular Coarse-GrainingComputer Graphics Forum10.1111/cgf.1227033:6(1-17)Online publication date: 1-Sep-2014
  • (2013)Shape spaces via medial axis transforms for segmentation of complex geometry in 3D voxel dataInverse Problems and Imaging10.3934/ipi.2013.7.17:1(1-25)Online publication date: Feb-2013
  • (2013)Surface reconstruction using 3D morphological operators for objects acquired with a multi-Kinect systemProceedings of the 6th International Conference on Computer Vision / Computer Graphics Collaboration Techniques and Applications10.1145/2466715.2466719(1-8)Online publication date: 6-Jun-2013
  • (2012)From A Medial Surface To A MeshComputer Graphics Forum10.1111/j.1467-8659.2012.03169.x31:5(1637-1646)Online publication date: 1-Aug-2012
  • (2010)Discrete scale axis representations for 3D geometryACM SIGGRAPH 2010 papers10.1145/1833349.1778838(1-10)Online publication date: 26-Jul-2010
  • (2010)Discrete scale axis representations for 3D geometryACM Transactions on Graphics10.1145/1778765.177883829:4(1-10)Online publication date: 26-Jul-2010
  • (2009)Recovering structure from r-sampled objectsProceedings of the Symposium on Geometry Processing10.5555/1735603.1735617(1349-1360)Online publication date: 15-Jul-2009
  • Show More Cited By

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Get Access

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media