Data fitting independent of grid structure using a volumic version of MPU |
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| Authors: | Yuusuke Tsukamoto Shuhei Kawashima Seiji Inoue Shin Ito Shinji Kataoka Kazuyuki Kojima Kyoko Hasegawa Susumu Nakata Satoshi Tanaka |
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| Affiliation: | (1) Hitachi Systems and Services, Ltd, Tokyo, Japan;(2) Institute of Science and Engineering, Ritsumeikan University, Shiga, Japan;(3) Hitachi Software Engineering Co., Ltd, Tokyo, Japan;(4) Sony Corporation, Tokyo, Japan;(5) FUJITSU Kansai Systems Ltd, Osaka, Japan;(6) NEC Soft, Ltd, Tokyo, Japan;(7) Ritsumeikan University, Research Organization of Science and Engineering, Shiga, Japan;(8) College of Information Science and Engineering, Ritsumeikan University, Shiga, Japan; |
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| Abstract: | Abstract Volume graphics is a key technology in fields such as fluid dynamics and medical science. The visualization of volume data requires the creation of a continuous scalar field to exactly or approximately interpolate scalar values assigned to the discrete voxels. In the present paper, we propose a method that we refer to as the volumic version of the multi-level partition of unity (volumic MPU). The method approximately interpolates the scalar values with good precision to generate a scalar field that is continuous up to second-order differentiation. The volumic MPU, being independent of grid structures of input volume data, is applicable to both irregular-grid data and regular grid data. The volumic MPU can also be used as an effective data-compression technique. The speed to evaluate the created scalar field is almost as high as that of trilinear interpolation. |
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