Super-helices for predicting the dynamics of natural hair

Bertails, Florence; Audoly, Basile; Cani, Marie-Paule; Querleux, Bernard; Leroy, Frédéric; Lévêque, Jean-Luc

doi:10.1145/1141911.1142012

Cited by 234 publications

(245 citation statements)

References 27 publications

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“…We also discuss the advantages and limitations of this approach, with particular reference to variational descriptions of the rod elasticity. For the special case of a Kirchhoff rod, this discretization scheme reduces to the one used by Bertails, Audoly, Cani, Querleux, Leroy and Lévêque [11]. We moreover discuss the connection between our approach and the interpolation of affine transformations introduced very recently by Kaji and Ochiai [47] in the context of computer graphics applications.…”

Section: Discretizing the Rod Shape In Se(3)mentioning

confidence: 98%

Importance and Effectiveness of Representing the Shapes of Cosserat Rods and Framed Curves as Paths in the Special Euclidean Algebra

Giusteri

Fried

2017

J Elast

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We discuss how the shape of a special Cosserat rod can be represented as a path in the special Euclidean algebra. By shape we mean all those geometric features that are invariant under isometries of the three-dimensional ambient space. The representation of the shape as a path in the special Euclidean algebra is intrinsic to the description of the mechanical properties of a rod, since it is given directly in terms of the strain fields that stimulate the elastic response of special Cosserat rods. Moreover, such a representation leads naturally to discretization schemes that avoid the need for the expensive reconstruction of the strains from the discretized placement and for interpolation procedures which introduce some arbitrariness in popular numerical schemes. Given the shape of a rod and the positioning of one of its cross sections, the full placement in the ambient space can be uniquely reconstructed and described by means of a base curve endowed with a material frame. By viewing a geometric curve as a rod with degenerate point-like cross sections, we highlight the essential difference between rods and framed curves, and clarify why the family of relatively parallel adapted frames is not suitable for describing the mechanics of rods but is the appropriate tool for dealing with the geometry of curves.

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Section: Discretizing the Rod Shape In Se(3)mentioning

confidence: 98%

Importance and Effectiveness of Representing the Shapes of Cosserat Rods and Framed Curves as Paths in the Special Euclidean Algebra

Giusteri

Fried

2017

J Elast

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“…In 2005,Wei et al [77] proposed an image-based approach to capture the hair geometry.In 2006,Bertails et al [78] proposed to use Kirchhoff's equations for elastic rods to describe the motion of hair strands.The equations are solved representing a hair strand as a piecewise helical rod.In the same year,Moon and Marshner [79] proposed an efficient physically based technique to simulate the multiple scattering of hair based on volumetric photon mapping. In 2008,Moon et al [80] improved their previous technique [81] and developed a much faster volumetric rendering method to compute multiple scattering solutions.…”

Section: Hairmentioning

confidence: 99%

Techniques of Facial Synthesis: A Comprehensive Literature Review

Chandra¹,

Karmakar²,

Hegadi³

2013

IJCA

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As an important area of computer graphics, realistic image synthesis provides principles and techniques for creating realistic imagery through computations based upon models of real-world objects and behaviors. Facial expression is one of the primary communication means of the human. The ultimate goal of realistic image synthesis is to achieve perfect realism -the synthesized images are visually indistinguishable from their real-world counterparts. This area has widespread applications in industry and scientific research including 3D design, omputer animation, scientific visualization and virtual reality Facial expression synthesis has many useful applications in practice. How to synthesize facial expression images robustly and simply is still a challenging problem. This paper surveys the state of the art in this area.

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“…In computer animation, hair modelling has attracted a great deal of attention [13,14], which can be used in character rigging. In applications of virtual surgery training, some researchers reported the development on modelling intestine with the mass spring system [3,15].…”

Section: Related Workmentioning

confidence: 99%

Modelling Rod-Like Flexible Biological Tissues for Medical Training

Chang

Zhang

2009

Modelling the Physiological Human

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Abstract. This paper outlines a framework for the modelling of slender rod-like biological tissue structures in both global and local scales. Volumetric discretization of a rod-like structure is expensive in computation and therefore is not ideal for applications where real-time performance is essential. In our approach, the Cosserat rod model is introduced to capture the global shape changes, which models the structure as a one-dimensional entity, while the local deformation is handled separately. In this way a good balance in accuracy and efficiency is achieved. These advantages make our method appropriate for the modelling of soft tissues for medical training applications.Keywords: Medical training, surgery simulation, deformation, Cosserat rod, computer animation IntroductionVirtual simulation can replicate the teledisplay and instrumentation of laparoscopic surgery and is attracting increasing attention from both the research community and the medical practitioners. As a training methodology it can reduce the costs and risks and has been adopted widely by the surgical community. A training system based on virtual simulation provides the trainees with flexible access to training sessions, whereas traditionally the training sessions are limited by the availability of patients and training posts. The most essential element of such a system is to model the behaviour of the tissues in a proper manner in order to produce convincing visual and haptic feedback to the user. Slender shapes represent a group of organs and tissues in the human body. Efficient simulation of such structures provides a useful framework which lays the foundation for virtual surgery applications involving such objects. Our work discussed in this paper focuses on modelling slender biological tissues which can be presented with a simple rod model. In the human body, many tissues are of long, thin, rod-like shapes, and we can take the advantage of modelling them as one-dimensional entities to efficiently simulate their behaviours. Examples of such tissues include blood vessels, muscle fibres, small intestines, rectum, ligaments, tendons, and hair. Though the one

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Super-helices for predicting the dynamics of natural hair

Abstract: Middle and right, dynamic simulation of natural hair of various types: wavy, curly, straight. These hairstyles were animated using N = 5 helical elements per guide strand.

Cited by 234 publications

References 27 publications

Importance and Effectiveness of Representing the Shapes of Cosserat Rods and Framed Curves as Paths in the Special Euclidean Algebra

Importance and Effectiveness of Representing the Shapes of Cosserat Rods and Framed Curves as Paths in the Special Euclidean Algebra

Techniques of Facial Synthesis: A Comprehensive Literature Review

Modelling Rod-Like Flexible Biological Tissues for Medical Training

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