Application of the Complete Orthogonal V-system

Xiaochun Wang, Yanyan Liang, Meifang Ou, Ruixia Song · 2008

Using V-system, a new class of complete orthogonal system in L2[0,1], we can represent the information with both continuous and discontinuous signals. The reason we can realize it is that the V-system consists of both smooth functions and multi-level discontinuous functions. In this paper, two graphics groups (A graphics group is a graph which is composed of several separate graphs) are accurately reconstructed by finite terms of V-series. The reconstruction results are compared with that by Fourier series. Both the theory and experimental results show that the V-system has great advantage in geometric information reconstruction.

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