V-system with multiresolution property and its application in classification

V-system, a new class of complete orthogonal system in L₂[0,1], is the generalization of the well-known Haar system and consists of not only smooth functions but also discontinuous functions at multi-levels. Therefore, the V-system can be applied to represent the information with both continuous and discontinuous signals, which is fundamentally different from that of Fourier orthogonal system. In this paper, we first explore the multiresolution property of the V-system then discuss the classification of graphics groups using the V-descriptor. The experimental results demonstrate that the V-system can be effectively used in classification of graphics group.