Spatial image polynomial decomposition with application to video classification

Abstract

International audienceThis paper addresses the use of orthogonal polynomial basis transform in video classification due to its multiple advantages, especially for multiscale and multiresolution analysis similar to the wavelet transform. In our approach, we benefit from these advantages to reduce the resolution of the video by using a multiscale/multiresolution decomposition to define a new algorithm that decomposes a color image into geometry and texture component by projecting the image on a bivariate polynomial basis and considering the geometry component as the partial reconstruction and the texture component as the remaining part, and finally to model the features (like motion and texture) extracted from reduced image sequences by projecting them into a bivariate polynomial basis in order to construct a hybrid polynomial motion texture video descriptor. To evaluate our approach, we consider two visual recognition tasks, namely the classification of dynamic textures and recognition of human actions. The experimental section shows that the proposed approach achieves a perfect recognition rate in the Weizmann database and highest accuracy in the Dyntex++ database compared to existing methods

Spatial Location in Integrated Circuits through Infrared Microscopy

“…Introduced in [ 31 ], polynomial image decomposition was used for its ability to extract textural features from images [ 32 , 33 , 34 , 35 , 36 , 37 ]. This decomposition is highly customizable by the choice of the basis type, its degree, and the discrete domain on which the projection is calculated.…”