M.E.S.H. : Measuring Error between Surfaces using the Hausdorff distance. This paper proposes an efficient method to estimate the distance between discrete 3D surfaces represented by triangular 3D meshes. The metric used is based on an approximation of the Hausdorff distance, which has been appropriately implemented in order to reduce unnecessary computation and memory usage. Results show that when compared to similar tools, a significant gain in both memory and speed can be achieved.

References in zbMATH (referenced in 25 articles )

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  1. García, G.: Approximating the Hausdorff distance by (\alpha)-dense curves (2021)
  2. James, Nick; Menzies, Max: A new measure between sets of probability distributions with applications to erratic financial behavior (2021)
  3. Son, Sang-Hyun; Kim, Myung-Soo; Elber, Gershon: Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches (2021)
  4. Zhong, De-Yun; Wang, Li-Guan; Bi, Lin: Implicit surface reconstruction based on generalized radial basis functions interpolant with distinct constraints (2019)
  5. Kang, Yunku; Kyung, Min-Ho; Yoon, Seung-Hyun; Kim, Myung-Soo: Fast and robust Hausdorff distance computation from triangle mesh to quad mesh in near-zero cases (2018)
  6. Alic, Vedad; Persson, Kent: Form finding with dynamic relaxation and isogeometric membrane elements (2016)
  7. Huang, Jin; Jiang, Tengfei; Shi, Zeyun; Tong, Yiying; Bao, Hujun; Desbrun, Mathieu: (\ell_1)-based construction of polycube maps from complex shapes (2014)
  8. Song, Ran; Liu, Yonghuai; Martin, Ralph R.; Rosin, Paul L.: Mesh saliency via spectral processing (2014)
  9. Song, Ran; Liu, Yonghuai; Martin, Ralph R.; Rosin, Paul L.: Scan integration as a labelling problem (2014) ioport
  10. Nada, Ayman A.: Use of B-spline surface to model large-deformation continuum plates: procedure and applications (2013)
  11. Coll, Narcís; Guerrieri, Marité; Rivara, Maria-Cecilia; Sellarès, J. Antoni: Adaptive simplification of huge sets of terrain grid data for geosciences applications (2011)
  12. Sharma, Ojaswa; Anton, François: Homotopic object reconstruction using natural neighbor barycentric coordinates (2011)
  13. Wang, Yu-Ping; Hu, Shi-Min: Optimization approach for 3D model watermarking by linear binary programming (2010)
  14. Bian, Zhe; Hu, Shi-Min; Martin, Ralph R.: Evaluation for small visual difference between conforming meshes on strain field (2009) ioport
  15. Nicosevici, Tudor; Gracias, Nuno; Negahdaripour, Shahriar; Garcia, Rafael: Efficient three-dimensional scene modeling and mosaicing (2009)
  16. Peyré, Gabriel; Péchaud, Mickael; Keriven, Renaud; Cohen, Laurent D.: Geodesic methods in computer vision and graphics (2009)
  17. Lu, Zhe-Ming; Li, Zhen: Dynamically restricted codebook-based vector quantisation scheme for mesh geometry compression (2008)
  18. Massarwi, Fady; Gotsman, Craig; Elber, Gershon: Paper-craft from 3D polygonal models using generalized cylinders (2008)
  19. Cheng, Yu-Ming; Wang, Chung-Ming: An adaptive steganographic algorithm for 3D polygonal meshes (2007) ioport
  20. Cheng, Yu-Ming; Wang, Chung-Ming: A high-capacity steganographic approach for 3D polygonal meshes (2006) ioport

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