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Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface
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| Zeitschriftentitel: | International Journal of Distributed Sensor Networks |
|---|---|
| Personen und Körperschaften: | , , , |
| In: | International Journal of Distributed Sensor Networks, 14, 2018, 11, S. 155014771881235 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
SAGE Publications
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| Schlagwörter: |
| author_facet |
Zhang, Li She, Xiangrong Ge, Xianyu Tan, Jieqing Zhang, Li She, Xiangrong Ge, Xianyu Tan, Jieqing |
|---|---|
| author |
Zhang, Li She, Xiangrong Ge, Xianyu Tan, Jieqing |
| spellingShingle |
Zhang, Li She, Xiangrong Ge, Xianyu Tan, Jieqing International Journal of Distributed Sensor Networks Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface Computer Networks and Communications General Engineering |
| author_sort |
zhang, li |
| spelling |
Zhang, Li She, Xiangrong Ge, Xianyu Tan, Jieqing 1550-1477 1550-1477 SAGE Publications Computer Networks and Communications General Engineering http://dx.doi.org/10.1177/1550147718812355 <jats:p> 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. </jats:p> Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface International Journal of Distributed Sensor Networks |
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International Journal of Distributed Sensor Networks |
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| title |
Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_unstemmed |
Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_full |
Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_fullStr |
Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_full_unstemmed |
Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_short |
Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_sort |
adaptive fitting algorithm of progressive interpolation for loop subdivision surface |
| topic |
Computer Networks and Communications General Engineering |
| url |
http://dx.doi.org/10.1177/1550147718812355 |
| publishDate |
2018 |
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155014771881235 |
| description |
<jats:p> 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. </jats:p> |
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| author | Zhang, Li, She, Xiangrong, Ge, Xianyu, Tan, Jieqing |
| author_facet | Zhang, Li, She, Xiangrong, Ge, Xianyu, Tan, Jieqing, Zhang, Li, She, Xiangrong, Ge, Xianyu, Tan, Jieqing |
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| description | <jats:p> 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. </jats:p> |
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| spelling | Zhang, Li She, Xiangrong Ge, Xianyu Tan, Jieqing 1550-1477 1550-1477 SAGE Publications Computer Networks and Communications General Engineering http://dx.doi.org/10.1177/1550147718812355 <jats:p> 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. </jats:p> Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface International Journal of Distributed Sensor Networks |
| spellingShingle | Zhang, Li, She, Xiangrong, Ge, Xianyu, Tan, Jieqing, International Journal of Distributed Sensor Networks, Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface, Computer Networks and Communications, General Engineering |
| title | Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_full | Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_fullStr | Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_full_unstemmed | Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_short | Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| title_sort | adaptive fitting algorithm of progressive interpolation for loop subdivision surface |
| title_unstemmed | Adaptive fitting algorithm of progressive interpolation for Loop subdivision surface |
| topic | Computer Networks and Communications, General Engineering |
| url | http://dx.doi.org/10.1177/1550147718812355 |