Fast generation of 3-D deformable moving surfaces

Authors: You, L. and Zhang, J.J.

Journal: IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volume: 33

Issue: 4

Pages: 616-625

ISSN: 1083-4419

DOI: 10.1109/TSMCB.2003.814283

Abstract:

Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. In this paper, we propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.

http://eprints.bournemouth.ac.uk/1284/

Source: Scopus

Fast generation of 3-D deformable moving surfaces.

Authors: You, L. and Zhang, J.J.

Journal: IEEE Trans Syst Man Cybern B Cybern

Volume: 33

Issue: 4

Pages: 616-625

ISSN: 1083-4419

DOI: 10.1109/TSMCB.2003.814283

Abstract:

Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. We propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.

http://eprints.bournemouth.ac.uk/1284/

Source: PubMed

Fast generation of 3-D deformable moving surfaces

Authors: You, L.H. and Zhang, J.J.

Journal: IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS

Volume: 33

Issue: 4

Pages: 616-625

eISSN: 1941-0492

ISSN: 1083-4419

DOI: 10.1109/TSMCB.2003.814283

http://eprints.bournemouth.ac.uk/1284/

Source: Web of Science (Lite)

Fast generation of 3D deformable moving surfaces

Authors: You, L.H. and Zhang, J.J.

Journal: IEEE Transactions on Systems Man and Cybernetics - Part B: Cybernetics

Volume: 33

Pages: 616-625

ISSN: 1083-4419

DOI: 10.1109/TSMCB.2003.814283

Abstract:

Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. We propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.

http://eprints.bournemouth.ac.uk/1284/

http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=27282&arnumber=1213554&count=21&index=7

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

Fast generation of 3-D deformable moving surfaces.

Authors: You, L. and Zhang, J.J.

Journal: IEEE Trans. Syst. Man Cybern. Part B

Volume: 33

Pages: 616-625

DOI: 10.1109/TSMCB.2003.814283

http://eprints.bournemouth.ac.uk/1284/

Source: DBLP

Fast generation of 3-D deformable moving surfaces.

Authors: You, L. and Zhang, J.J.

Journal: IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society

Volume: 33

Issue: 4

Pages: 616-625

eISSN: 1941-0492

ISSN: 1083-4419

DOI: 10.1109/tsmcb.2003.814283

Abstract:

Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. We propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.

http://eprints.bournemouth.ac.uk/1284/

Source: Europe PubMed Central

Fast generation of 3D deformable moving surfaces

Authors: You, L.H. and Zhang, J.J.

Journal: IEEE Transactions on Systems Man and Cybernetics - Part B: Cybernetics

Volume: 33

Issue: 4

Pages: 616-625

ISSN: 1083-4419

Abstract:

Dynamic surface modeling is an important subject of geometric modeling due to their extensive applications in engineering design, entertainment and medical visualization. Many deformable objects in the real world are dynamic objects as their shapes change over time. Traditional geometric modeling methods are mainly concerned with static problems, therefore unsuitable for the representation of dynamic objects. Apart from the definition of a dynamic modeling problem, another key issue is how to solve the problem. Because of the complexity of the representations, currently the finite element method or finite difference method is usually used. Their major shortcoming is the excessive computational cost, hence not ideal for applications requiring real-time performance. We propose a representation of dynamic surface modeling with a set of fourth order dynamic partial differential equations (PDEs). To solve these dynamic PDEs accurately and efficiently, we also develop an effective resolution method. This method is further extended to achieve local deformation and produce n-sided patches. It is demonstrated that this new method is almost as fast and accurate as the analytical closed form resolution method and much more efficient and accurate than the numerical methods.

http://eprints.bournemouth.ac.uk/1284/

http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=27282&arnumber=1213554&count=21&index=7

Source: BURO EPrints