scholarly journals Affine Shape Comparison using Different Distances

Author(s):  
Khalid Aznag ◽  
Toufik Datsi ◽  
Ahmed El Oirrak ◽  
Essaid El Bachari

In this work, we propose to compare affine shape using Hausdorff distance (HD), Dynamic Time Warping (DTW), Frechet (DF), and Earth Mover distance (EMD). Where there is only a change in resolution shape distance are computed between shape coordinates because the distance is not invariant under rotation or affinity. In case of transformation, distances are calculated not between shape coordinates but between Arc length or Affine Arc length. Arc length is invariant under rotation while Affine Arc length is invariant under affinity. The main advantage is invariance under change of resolution, rotation, and affinity.

Other measures are employed to compute similarity between faces. Although some of them are very popular, such as edit distance or turning function distance, they may be more frequently used for object, vectors or shape comparison and less for faces. This paragraph collects all these measures and the works in which they are used for face recognition. Among them, Dynamic Time Warping (DTW), Hidden Markov Models (HMM), and Fréchet distance have been applied to 3D data.


2021 ◽  
Author(s):  
Xiaowei Zhao ◽  
Shangxu Wang ◽  
Sanyi Yuan ◽  
Liang Cheng ◽  
Youjun Cai

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