Integral invariants for space motion trajectory matching and recognition
作者：
Highlights：
• A meaningful definition of integral invariants for space trajectories is proposed.
• We derive a novel estimation method of integral invariants for discrete trajectories.
• A non-linear distance is defined to measure the similarity between trajectories.
• Integral invariants show robustness to noise, occlusions, and transformations.
• Experiments are carried out to examine their effectiveness and robustness in applications.
摘要
•A meaningful definition of integral invariants for space trajectories is proposed.•We derive a novel estimation method of integral invariants for discrete trajectories.•A non-linear distance is defined to measure the similarity between trajectories.•Integral invariants show robustness to noise, occlusions, and transformations.•Experiments are carried out to examine their effectiveness and robustness in applications.
论文关键词：MBS,Maximal 3D Blurred Segment,DTW,Dynamic Time Warping,1-NN,1-nearest neighbors,FD,Fourier descriptor,II,integral invariants,DI,differential invariants,DII,distance integral invariants,Z,integer set,Z3,3-dimensional Euclidean space with only integer sets,I,non-empty interval of real numbers,Motion trajectory,Integral invariants,Maximal blurred segment,Similarity measure,Trajectory matching,Sign recognition
论文评审过程：Received 10 March 2014, Revised 16 February 2015, Accepted 27 February 2015, Available online 11 March 2015.
论文官网地址：https://doi.org/10.1016/j.patcog.2015.02.029
