Elastically deformable models

Terzopoulos, Demetri; Platt, John; Barr, Alan H.; Fleischer, Kurt

doi:10.1145/37401.37427

Cited by 1,053 publications

(652 citation statements)

References 21 publications

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“…3D physics-based simulation has had broad success in many modeling domains, and the work closest to ours involves chains (see, e.g., [Barzel and Barr(1988)]) and deformable objects (see, e.g., [Terzopoulos et al(1987)Terzopoulos, Platt, Barr, and Fleischer], [Terzopoulos and Witkin(1988)] Haptic interfaces have also been used to implement realistic 3D physics-based simulations (see [Baxter et al(2001)Baxter, Scheib, and Lin] and [Kim et al(2003)Kim, Sukhatme, and Desbrun]). …”

Section: Lifting In Four Dimensionsmentioning

confidence: 99%

Physically Interacting with Four Dimensions

Hanson

Zhang

2006

Advances in Visual Computing

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ALL RIGHTS RESERVED ivTo my wife, my daughter Jasmine and our loving parents. The research presented here creates physically realistic models for simple interactions with objects and materials in a virtual 4D world. We provide methods for the construction, multimodal exploration, and interactive manipulation of a wide variety of 4D objects. One basic achievement of this research is to exploit the free motion of a computer-based haptic probe to support a continuous motion that follows the local continuity of a 4D surface, allowing collision-free exploration in the 3D projection. In 3D, this interactive probe follows the full local continuity of the surface as though we were in fact physically touching the actual static 4D object.Our next contribution is to support dynamic 4D objects that can move, deform, and collide with other objects as well as with themselves. By combining graphics, haptics, and collision-sensing physical modeling, we can thus enhance our 4D visualization experience. Since we cannot actually vii viii place interaction devices in 4D, we develop fluid methods for interacting with a 4D object in its 3D shadow image using adapted reduced-dimension 3D tools for manipulating objects embedded in 4D. By physically modeling the correct properties of 4D surfaces, their bending forces, and their collisions in the 3D interactive or haptic controller interface, we can support full-featured physical exploration of 4D mathematical objects in a manner that is otherwise far beyond the real-world experience accessible to human beings.

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Section: Lifting In Four Dimensionsmentioning

confidence: 99%

Physically Interacting with Four Dimensions

Hanson

Zhang

2006

Advances in Visual Computing

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“…The earlier approaches such as penalty method [2,27] and reaction constraint method [21,26] implemented collision response by altering the force matrix in the mass-spring method. In our simulations, we observed that the stability of the system was reduced when we applied penalty and constraint methods.…”

Section: Collision Responsementioning

confidence: 99%

Real-Time Simulation of Self-collisions for Virtual Intestinal Surgery

Raghupathi

Cantin

Fauré

et al. 2003

Surgery Simulation and Soft Tissue Modeling

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Abstract. The context of this research is the development of a pedagogical surgery simulator for colon cancer removal. More precisely, we would like to simulate the gesture which consists of moving the small intestine folds away from the cancerous tissues of the colon. This paper presents a method for animating the small intestine and the mesentery (the tissue that connects it to the main vessels) in real-time, thus enabling user-interaction through virtual surgical tools during the simulation. The main issue that we solve here is the real-time processing of multiple collisions and self-collisions that occur between the intestine and mesentery folds.

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“…D EFORMABLE models have been used in computer graphics for over twenty years, dating back to the early work of [1]- [3]. While our work will focus on massspring models, the main ideas should be extendable to finite element methods (such as those in [4] and [5]), though we do not evaluate FEMs within the scope of this paper.…”

Section: Introductionmentioning

confidence: 99%

Energy Conservation for the Simulation of Deformable Bodies

Sheth

Fedkiw

2013

IEEE Trans. Visual. Comput. Graphics

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Abstract-We propose a novel technique that allows one to conserve energy using the time integration scheme of one's choice. Traditionally, the time integration methods that deal with energy conservation, such as symplectic, geometric, and variational integrators, have aimed to include damping in a manner independent of the size of the time step, stating that this gives more control over the look and feel of the simulation. Generally speaking, damping adds to the overall aesthetics and appeal of a numerical simulation, especially since it damps out the high frequency oscillations that occur on the level of the discretization mesh. We propose an alternative technique that allows one to use damping as a material parameter to obtain the desired look and feel of a numerical simulation, while still exactly conserving the total energy -in stark contrast to previous methods in which adding damping effects necessarily removes energy from the mesh. This allows, for example, a deformable bouncing ball with aesthetically pleasing damping (and even undergoing collision) to collide with the ground and return to its original height exactly conserving energy, as shown in Figure 2. Furthermore, since our method works with any time integration scheme, the user can choose their favorite time integration method with regards to aesthetics and simply apply our method as a post-process to conserve all or as much of the energy as desired.

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Elastically deformable models

Cited by 1,053 publications

References 21 publications

Physically Interacting with Four Dimensions

Physically Interacting with Four Dimensions

Real-Time Simulation of Self-collisions for Virtual Intestinal Surgery

Energy Conservation for the Simulation of Deformable Bodies

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