Real‐Time Subspace Integration for Example‐Based Elastic Material

Zhang, Wenjing; Zheng, Jianmin; Thalmann, Nadia Magnenat

doi:10.1111/cgf.12569

Cited by 8 publications

(4 citation statements)

References 29 publications

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“…An efficient physical solver is proposed [Bouaziz et al 2014] for real-time simulation with local/global optimization. Zhang et al [2015] propose a Green strain tensor-based potential energy for example-based elastic material with real-time efficiency. Compared with these works, our approach does not require tetrahedral meshes as input and is able to cope with a large number of example models as well as situations where physical properties are complex or unknown.…”

Section: Related Workmentioning

confidence: 99%

Efficient and Flexible Deformation Representation for Data-Driven Surface Modeling

et al. 2016

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Effectively characterizing the behavior of deformable objects has wide applicability but remains challenging. We present a new rotation-invariant deformation representation and a novel reconstruction algorithm to accurately reconstruct the positions and local rotations simultaneously. Meshes can be very efficiently reconstructed from our representation by matrix predecomposition, while, at the same time, hard or soft constraints can be flexibly specified with only positions of handles needed. Our approach is thus particularly suitable for constrained deformations guided by examples, providing significant benefits over state-of-the-art methods. Based on this, we further propose novel data-driven approaches to mesh deformation and non-rigid registration of deformable objects. Both problems are formulated consistently as finding an optimized model in the shape space that satisfies boundary constraints, either specified by the user, or according to the scan. By effectively exploiting the knowledge in the shape space, our method produces realistic deformation results in real-time and produces high quality registrations from a template model to a single noisy scan captured using a low-quality depth camera, outperforming state-of-the-art methods.

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Section: Related Workmentioning

confidence: 99%

Efficient and Flexible Deformation Representation for Data-Driven Surface Modeling

et al. 2016

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“…The low computational cost in the online stage, makes subspace methods attractive for interactive graphics applications. Reduced systems have been proposed for the simulation of fluids [TLP06, LMH∗15, CSK18], elastic solids and shells [BJ05, AKJ08, YLX∗15, BEH18], fluid‐solid interaction [LJF16, BSEH19], example‐based elastic material [ZZM15], motion planning [BdSP09, HSvTP12, PM18], clothing [HTC∗14], and hair [CZZ14]. In the context of mesh processing, subspace methods have been introduced for surface modeling [HSL∗06, HSvTP11, JBK∗12, WJBK15], shape interpolation [vTSSH15, vRESH16], injective mappings [HCW19], motion processing [BvTH16], and spectral mesh processing [NBH18].…”

Section: Related Workmentioning

confidence: 99%

Locally supported tangential vector,n‐vector, and tensor fields

Nasikun

Brandt

Hildebrandt

2020

Computer Graphics Forum

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We introduce a construction of subspaces of the spaces of tangential vector, n‐vector, and tensor fields on surfaces. The resulting subspaces can be used as the basis of fast approximation algorithms for design and processing problems that involve tangential fields. Important features of our construction are that it is based on a general principle, from which constructions for different types of tangential fields can be derived, and that it is scalable, making it possible to efficiently compute and store large subspace bases for large meshes. Moreover, the construction is adaptive, which allows for controlling the distribution of the degrees of freedom of the subspaces over the surface. We evaluate our construction in several experiments addressing approximation quality, scalability, adaptivity, computation times and memory requirements. Our design choices are justified by comparing our construction to possible alternatives. Finally, we discuss examples of how subspace methods can be used to build interactive tools for tangential field design and processing tasks.

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“…12,13,[18][19][20][21] Besides, there are also some nonlinear constitutive models that can solve the rotationally invariant problem. One is the Saint Venant-Kirchhoff (StVK) model, [22][23][24] which is perhaps the simplest constitutive model for large deformations. However, it is computationally complex and not suitable for anisotropic deformation simulation.…”

Section: Related Workmentioning

confidence: 99%

An improved solution for deformation simulation of nonorthotropic geometric models

Cao

Yang

Ren

et al. 2019

Computer Animation & Virtual

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Physically based deformation simulation has been studied for many years in computer graphics. In order to simulate more complex geometric models and better meet the designer's requirements, many anisotropic approaches have been proposed in recent years. However, most of the approaches focus on simulating orthotropic models. In comparison with orthotropic models, nonorthotropic ones allow the objects to have anisotropic behaviors along nonorthogonal directions. In this paper, we introduce an improved approach to simulate nonorthotropic geometric models under large deformation. The improvements are mainly twofold. First, a frame field is specified on a given undeformed object, that is, each point of the object is equipped with a frame. In each local frame, we construct three independent vectors and form a nonorthogonal coordinate. Second, we design the deformation properties along each axis in the local nonorthogonal coordinate to get a local constitutive model. The final nonorthotropic model is generated by transforming the designed model from local nonorthogonal coordinates to the global standard Cartesian coordinate. To improve the stability, we introduce a time‐varying method to simultaneously track the local coordinates reorientation by pushing forward the original frame field to the deformed frame field. Experiments show that the deformation simulation using the designed nonorthotropic models exhibits anisotropic behaviors along different directions and are more stable than previous methods.

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Real‐Time Subspace Integration for Example‐Based Elastic Material

Cited by 8 publications

References 29 publications

Efficient and Flexible Deformation Representation for Data-Driven Surface Modeling

Efficient and Flexible Deformation Representation for Data-Driven Surface Modeling

Locally supported tangential vector,n‐vector, and tensor fields

An improved solution for deformation simulation of nonorthotropic geometric models

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