|
|
|
| The Explicit Piecewise Polynomials of Locally Supported Box Spline |
|
|
|
|
Abstract In reconstructing volumetric data, we had to evaluate the convolution of two box splines, the computational complexity of which could be very high. To promote efficiency of reconstructing volumetric data in S2 4 (R3;Δ3), firstly, we induce the explicit piecewise polynomials of locally supported box spline in S2 4 (R3;Δ3). Secondly, we get the bases of S2 4 (R3;Δ3) and show its partition of unity. Then, the feasibility and accuracy of the proposed mathematic model and algorithm is demonstrated through the computational experiment.
|
|
|
| DOI:10.12733/jics20150765 |
|
|
|
| [1] |
Ge Lin, Yihong Li, Xue Wang, Tian Luo. Improved Adaptive Variable Step-Size LMS Filtering Algorithm for Home Virtual Sound Barrier System[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 69-76. |
| [2] |
Linlin Chen, Jiayi Niu, Jing Chen. A Nine-point Algorithm Using K-modes Clustering for Two-dimensional Poisson Equations[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 97-104. |
| [3] |
. Table of Contents - JICS Vol 13 No 2[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 1000-1000. |
| [4] |
. JICS Vol 13 No 2 Cover[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 1001-1001. |
| [5] |
Binhui Wang, Shangwei Qu. Rotation Effects of Alpha Factor in Chinese Stock Market Based on Investment Clock[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 77-87. |
| [6] |
Rong Wang, Liang Chang, Tianlong Gu, Xiaonan Luo, Zhoubo Xu. Multivariate B-form Hypersurfaces Representation and Application[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 89-96. |
| [7] |
Xingjiao Wu, Sheng Wu, Haihe Zhou, Dandan Cao. The Improved Algorithm Base on Boundary Matching and Residuals Recovery[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(2): 105-113. |
| [8] |
Demin Wei;Shuo Yao;Zhuangning Xie. Directional wind Pressure of Cladding Structure[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 29-41. |
| [9] |
. Table of Contents - JICS Vol 13 No 1[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 1000-1000. |
| [10] |
Zhaolei Wei;Chunliang Chen;Ying Shen;Jiulin Luo. Research on Quality Evaluation of the Requirement Scheme for Equipment System[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 59-67. |
| [11] |
Hui Zhi;Yanjun Hu;Jun Zhu;Quan Yuan;Mengmeng He. Cross-Layer Power Allocation Scheme for Two-Way Relaying System[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 51-58. |
| [12] |
. JICS Vol 13 No 1 Cover[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 1001-1001. |
| [13] |
Xinghua Huo;Yafeng Yao;Zhao Chen. Implementation of a Direct Rotation CORDIC Algorithm with High Speed and Low Resource Consumption[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 43-50. |
| [14] |
Anuwat Dechvijankit;Hiroshi Nagahashi;Kota Aoki. An Enhanced Way to Create Disk Topology Patch For Bounded-Parameterization[J]. JOURNAL OF INFORMATION &COMPUTATIONAL SCIENCE, 2016, 13(1): 1-11. |
| [15] |
Lulu Liu;Dong Sun;Wei E. I. Sha. Plate Number Positioning Based on the SIFT Algorithm and Its Parallel Implementation[J]. , 2015, 12(9): 3405-3413. |
|
|
|
|
