2014
DOI: 10.1299/jamdsm.2014jamdsm0012
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Velocity calculation of 2D geometric objects by use of surface interpolation in 3D

Abstract: In some engineering applications, it is desirable to calculate the local velocity of geometric objects or boundaries of physical phenomena to understand the deformation speed of the objects or the mechanisms of the physical phenomena. Furthermore, knowledge of the velocity distribution will help designers create better mechanical systems. To determine the velocity of the boundary of a 2D object or 2D phenomenon, we first construct an implicit surface taking the time component into consideration by the radial b… Show more

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Cited by 2 publications
(2 citation statements)
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“…In future work, we will explore new models of HW/SW co-design and new acceleration methods on Multi-core SIMD CPUs (Ouyang, et al, 2016), (Zhou, et al, 2017). We will also try to extend the proposed idea and method to other areas, such as large-scale data visualization and rendering (Chen, et al, 2017), (Inui M, et al, 2016), (Kim, Kyung and Lee, 2012), (Mandachi, Usuki and Miura, 2014), (Umezu, 2013), (Zhang, et al, 2017), large-scale co-operation editing in text and geometry in Computer-Supproted Cooperation Work (Cheng, et al, 2016), (Lv, et al, 2016), (Nomaguchi,Tsutsumi and Fujita,212), large-scale 3D model interchange and retrieval in CAD (Wu, et al, 2016), (Zhang, et al, 2016), (Komoto, Kondoh and Masui, 2016), (Yeoun and Kim, 2016), (Qin, et al, 2016, (Qin, et al, 2016 , and real-time video and large HD image processing in computer vision (Li, He and Chen, 2016), (Ni, et al, 2016), (Li, He and Chen, 2017), (Li, et al, 2017), (Li, et al, 2017), (Sun, et al, 2016), (Liu, et al, 2016),…”
Section: Discussionmentioning
confidence: 99%
“…In future work, we will explore new models of HW/SW co-design and new acceleration methods on Multi-core SIMD CPUs (Ouyang, et al, 2016), (Zhou, et al, 2017). We will also try to extend the proposed idea and method to other areas, such as large-scale data visualization and rendering (Chen, et al, 2017), (Inui M, et al, 2016), (Kim, Kyung and Lee, 2012), (Mandachi, Usuki and Miura, 2014), (Umezu, 2013), (Zhang, et al, 2017), large-scale co-operation editing in text and geometry in Computer-Supproted Cooperation Work (Cheng, et al, 2016), (Lv, et al, 2016), (Nomaguchi,Tsutsumi and Fujita,212), large-scale 3D model interchange and retrieval in CAD (Wu, et al, 2016), (Zhang, et al, 2016), (Komoto, Kondoh and Masui, 2016), (Yeoun and Kim, 2016), (Qin, et al, 2016, (Qin, et al, 2016 , and real-time video and large HD image processing in computer vision (Li, He and Chen, 2016), (Ni, et al, 2016), (Li, He and Chen, 2017), (Li, et al, 2017), (Li, et al, 2017), (Sun, et al, 2016), (Liu, et al, 2016),…”
Section: Discussionmentioning
confidence: 99%
“…Though simple and accurate for translational motions, this condition fails to capture rotational motions. The papers [FMM13, MUM14] attempt to rectify this with another local condition based on more geometric information. Respectively, the authors propose that the curvature of the level sets should remain constant over time, and that rigid motions are solved for exactly by considering the motion of the center of mass and moment of inertia of the zero‐level set.…”
Section: Related Workmentioning
confidence: 99%