Study and application of physics-based deformable curves and surfaces

Guan, Zhidong; Jin, Lu; Tao, Ning; Xi, Pengcheng; Rongxi, Tang

doi:10.1016/s0097-8493(97)00007-1

Cited by 9 publications

(4 citation statements)

References 17 publications

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“…One important fact about ruled surfaces is that they can be generated by straight lines. A practical application of these type of surfaces is that they are used in civil engineering and physics (Guan et al, 1997).…”

Section: Introductionmentioning

confidence: 99%

Timelike-spacelike Mannheım partner curves in IR31

Şenyurt¹,

Bektaș²

2012

Int. J. Phys. Sci.

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Section: Introductionmentioning

confidence: 99%

Timelike-spacelike Mannheım partner curves in IR31

Şenyurt¹,

Bektaș²

2012

Int. J. Phys. Sci.

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“…One important fact about ruled surfaces is that they can be generated by straight lines. A practical application of this type surfaces is that they are used in civil engineering and physics (Guan et al, 1997).…”

Section: Introductionmentioning

confidence: 99%

On dual timelike - spacelike Mannheim partner curves in ID3 1

Bektas,

Senyurt

2011

Preprint

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The first aim of this paper is to define the dual timelike -spacelike Mannheim partner curves in Dual Lorentzian Space ID 3 1 , the second aim of this paper is to obtain the relationships between the curvatures and the torsions of the dual timelike -spacelike Mannheim partner curves with respect to each other and the final aim of this paper is to get the necessary and sufficient conditions for the dual timelike -spacelike Mannheim partner curves in ID 3 1 .

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“…Güdükbay and Özgüç described a system for the animation of deformable models [10]. Deriving the control equations of motion from Lagrangian mechanics, Guan et al introduced a deformable curve and surface modeling module and applied it in construction of Nsided patches, surface smooth joining, curve and surface fairing and so on [11]. Terzopoulos and Qin described an interactive modeling system called dynamic NURBS which incorporates mass distributions, internal deformation energies and other physical quantities into the popular NURBS geometric substrate and demonstrated the flexibility of their models in a variety of applications [12].…”

Section: Introductionmentioning

confidence: 99%

Deformation of Dynamic Surfaces

You

Zhang

2006

Computational Science – ICCS 2006

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Based on dynamic fourth order partial differential equations, we present an iterative finite difference algorithm. With C++ language and OpenGL graphics library, we implement the finite difference algorithm into a user interface and develop shape control parameters, density, damping coefficient, boundary tangents and external forces into user handles for dynamic manipulation of surface deformations. Using the developed user interface, we investigate how these user handles influence the deformation of dynamic surfaces.

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Study and application of physics-based deformable curves and surfaces

Cited by 9 publications

References 17 publications

Timelike-spacelike Mannheım partner curves in IR31

Timelike-spacelike Mannheım partner curves in IR31

On dual timelike - spacelike Mannheim partner curves in ID3 1

Deformation of Dynamic Surfaces

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