Applications of Complete Orthogonal V-system with Multiresolution Property

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 describe the multiresolution property of the V-system, then point out that a graphics group can be reconstructed precisely by finite terms of the V-series, finally discuss the classification and recognition of graphics groups using the V-descriptor. It shows from the experiments that the V-system can be applied to the fields of reconstruction of graphics group and pattern recognition.