MESH: measuring errors between surfaces using the Hausdorff distance

By Nicolas Aspert, D. S. Cruz, Touradj Ebrahimi. 2002

869 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Lifting Object Detection Datasets into 3D (2015, methodology): “between all instances (using the symmetric mesh distance from [63]), then clustered each class into 5 clusters using the K-medoids algorithm.”
Category-specific object reconstruction from a single image (2014, methodology): “- 1) the Hausdorff distance normalized by the 3D bounding box size of the ground truth model [3] and 2) a depth map error to evaluate the quality of the reconstructed visible object surface, measured as the mean absolute distance between reconstructed and ground truth depth:”
Techniques and Applications of Digital Watermarking and Content Protection (2003, background): “The invention of spread-spectrum communication is commonly attributed to Kiesler7 and Antheil, who devised a mechanism for sending guidance information to torpedoes believed to be resistant to jamming by means of sending the information distributed across a wide frequency band in a predetermined pat”
Learning Category-Specific Deformable 3D Models for Object Reconstruction (2017, background): “tance between the ground truth and predicted mesh after translating both to the origin and normalizing by the diagonal of the tighest 3D bounding box of the ground truth mesh [66] and 2) a depth map error to evaluate the quality of the reconstructed visible object surface, measured as the mean absol”
3D reconstruction of histological sections: Application to mammary gland tissue (2010, methodology): “We used the software toolbox MESH (Aspert et al., 2002) to compute the minimum, maximum, mean, and root-mean-square errors, between the surfaces and to visualize the differences between them.”
Variational shape approximation (2004, background): “The extension of the L∞ metric, called the Hausdorff distance, is naturally expressed as: H(X, Y ) = maxx∈X d(x, Y ), but can be quite delicate to compute [Aspert et al. 2002].”
Reconstructing PASCAL VOC (2014, methodology): “We measure the distortion between a reconstruction and a ground truth 3D mesh using the root mean squared error between the two meshes [2].”
CHANGE DETECTION ON POINTS CLOUD DATA ACQUIRED W ITH A GROUND LASER SCANNER (2005, methodology): “Point-to-mesh and mesh-to-mesh distances have been very well studied and demonstrated by academic software such as Metro (P. Cignoni et al. 1998) or Mesh (N. Aspert et al. 2002).”