Abstract
Subdivision surface and data fitting have been applied in data compression and data fusion a lot recently. Moreover, subdivision schemes have been successfully combined into multi-resolution analysis and wavelet analysis. This makes subdivision surfaces attract more and more attentions in the field of geometry compression. Progressive interpolation subdivision surfaces generated by approximating schemes were presented recently. When the number of original vertices becomes huge, the convergence speed becomes slow and computation complexity becomes huge. In order to solve these problems, an adaptive progressive interpolation subdivision scheme is presented in this article. The vertices of control mesh are classified into two classes: active vertices and fixed ones. When precision is given, the two classes of vertices are changed dynamically according to the result of each iteration. Only the active vertices are adjusted, thus the class of active vertices keeps running down while the fixed ones keep rising, which saves computation greatly. Furthermore, weights are assigned to these vertices to accelerate convergence speed. Theoretical analysis and numerical examples are also given to illustrate the correctness and effectiveness of the method.
Highlights
Wireless multimedia sensor network (WMSN)[1] is a network of wirelessly interconnected sensor nodes equipped with multimedia devices, such as cameras, microphones, and other sensors
Sensor nodes of WMSNs have low computation capability, small memory, and limited energy performances. This makes WMSNs suffer from many constraints, including susceptibility to physical capture, tremendous transmission of multimedia data, and the use of insecure wireless communication channels
Subdivision surface and data fitting have been applied in data processing techniques a lot recently
Summary
Wireless multimedia sensor network (WMSN)[1] is a network of wirelessly interconnected sensor nodes equipped with multimedia devices, such as cameras, microphones, and other sensors. Subdivision surface and data fitting have been applied in data processing techniques (data aggregation, data compression, and data fusion) a lot recently The application of these technologies on sensors will alleviate the shortcomings of sensors and reduce the limitations of WSNs. with the development of the secondgeneration wavelet analysis and multi-resolution transmission framework theory, subdivision schemes have been successfully combined into multi-resolution analysis and wavelet analysis. Without solving linear system of equations, these methods calculate the approximating subdivision surfaces that interpolate the initial meshes by adjusting the vertices of control meshes iteratively. It can handle control meshes of any size and any topology while generating smooth subdivision surfaces that faithfully resemble shapes of initial meshes.
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