Efficient feature extraction for 2D/3D objects in mesh representation

By Cha Zhang, Tsuhan Chen. Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), 2001

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Quantifying coral morphology (2019, positive): “approximated using the signed volume principal (Zhang and Chen 2001).”
Visual closed-loop control for pouring liquids (2016, methodology): “To compute the height of the surface of the liquid ht, we use binary search in combination with the signed tetrahedron volume method [21].”
Shape google: Geometric words and expressions for invariant shape retrieval (2011, methodology): “In rigid shape retrieval, global descriptors based on volume and area [Zhang and Chen 2001], wavelets [Paquet et al.”
MeshNet: Mesh Neural Network for 3D Shape Representation (2018, background): “Lien and Kajiya calculate moments of each tetrahedron in mesh (Lien and Kajiya 1984), and Zhang and Chen develop more functions applied to each triangle and add all the resulting values as features (Zhang and Chen 2001).”
Three-dimensional shape searching: state-of-the-art review and future trends (2005, neutral): “[53].”
Scale-invariant heat kernel signatures for non-rigid shape recognition (2010, background): “Rotation and translation invariance can be achieved using volume and area descriptors [45], spherical harmonics [16], geometric moments et al. [38], and distribution of pair-wise Euclidean distances [29].”