Skeleton‐based Variational Mesh Deformations

Yoshizawa, Shin; Belyaev, Alexander; Seidel, Hans‐Peter

doi:10.1111/j.1467-8659.2007.01047.x

Cited by 51 publications

(45 citation statements)

References 58 publications

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“…we present qualitative comparison with three different approaches, namely the Hamilton-Jacobi algorithm of Siddiqi et al [18], the multiscale algorithm of Reniers et al [16] and the Voronoi-based approach of Yoshizawa et al [21]. Note that the first two methods work on a voxelized 3D shape, while the latter works directly on the mesh.…”

Section: Resultsmentioning

confidence: 99%

“…On the other hand Yoshizawa et al [21] take a Voronoibased approach, where the skeleton of a mesh is approximated by a skeletal mesh having the same connectivity as the original mesh. These approaches are fast and do not require an initial voxelization, but extract only an approximation of the skeleton and are extremely sensible to small perturbations of the boundary.…”

Section: Introductionmentioning

confidence: 99%

“…The skeleton has proven to be a valuable and widely used shape descriptor for a number of tasks such as 2-D and 3-D shape recognition [13,19], volumetric models deformation [21], segmentation [15] and protein structure identification [1]. When working in two dimensions, the skeleton, or medial axis transform, is defined as the locus of the centers of the maximal inscribed circles bitangent to the shape boundary.…”

Section: Introductionmentioning

confidence: 99%

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An Adaptive Hierarchical Approach to the Extraction of High Resolution Medial Surfaces

Rossi

Torsello

2012

2012 Second International Conference on 3D Imaging, Modeling, Processing, Visualization &Amp; Transmission

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We introduce a novel algorithm for medial surfaces extraction that is based on the density-corrected Hamiltonian analysis [20]. The approach extracts the skeleton directly from a triangulated mesh and adopts an adaptive octreebased approach in which only skeletal voxels are refined to a lower level of the hierarchy, resulting in robust and accurate skeletons at extremely high resolution. The quality of the extracted medial surfaces is confirmed by an extensive set of experiments.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Adaptive Hierarchical Approach to the Extraction of High Resolution Medial Surfaces

Rossi

Torsello

2012

2012 Second International Conference on 3D Imaging, Modeling, Processing, Visualization &Amp; Transmission

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“…Given that the acquisition of the control object should be done quickly and at low computational cost, the amount of interaction of the final user in the foot deformation should be none, with the process being completely automatic. For example, skeleton-based deformation techniques [54,55,56] have, as a main problem, the bone and articulation configuration time by the user.  Flexibility.…”

Section: Bio-deformable Foot Modelmentioning

confidence: 99%

Footwear bio-modelling: An industrial approach

Davia

Jimeno-Morenilla

Salas

2013

Computer-Aided Design

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There is a growing need within the footwear sector to customise the design of the last from which a specific footwear style is to be produced. This customisation is necessary for user comfort and health reasons, as the user needs to wear a suitable shoe. For this purpose, a relationship must be established between the user foot and the last with which the style will be made; up until now, no model has existed that integrates both elements. On the one hand, traditional customised footwear manufacturing techniques are based on purely artisanal procedures which make the process arduous and complex; on the other hand, geometric models proposed by different authors present the impossibility of implementing them in an industrial environment with limited resources for the acquisition of morphometric and structural data for the foot, apart from the fact that they do not prove to be sufficiently accurate given the non similarity of the foot and last. In this paper, two interrelated geometric models are defined, the first, a bio-deformable foot model and the second, a deformable last model. The experiments completed show the goodness of the model, with it obtaining satisfactory results in terms of comfort, efficiency and precision, which make it viable for use in the sector. Footwear Bio-modelling: An industrial approachAbstract. There is a growing need within the footwear sector to customise the design of the last from which a specific footwear style is to be produced. This customisation is necessary for user comfort and health reasons, as the user needs to wear a suitable shoe. For this purpose, a relationship must be established between the user foot and the last with which the style will be made; up until now, no model has existed that integrates both elements. On the one hand, traditional customised footwear manufacturing techniques are based on purely artisanal procedures which make the process arduous and complex; on the other hand, geometric models proposed by different authors present the impossibility of implementing them in an industrial environment with limited resources for the acquisition of morphometric and structural data for the foot, apart from the fact that they do not prove to be sufficiently accurate given the non similarity of the foot and last. In this paper, two interrelated geometric models are defined, the first, a bio-deformable foot model and the second, a deformable last model. The experiments completed show the goodness of the model, with it obtaining satisfactory results in terms of comfort, efficiency and precision, which make it viable for use in the sector. -There are many different possibilities to adapt the foot surface to the last pitch (heel height). Cage-based methods (exoskeletons) perform better than others when it comes to the deformation of the surface, in that the cage can be better controlled and adapted to the foot morphology, allowing bending areas to be more accurately defined according to the characteristic curves of the foot. The paper rules out Free Form Deforma...

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“…for efficient level-of-detail rendering [4], shape matching [5], and shape deformation [6]. Typically, the boundary of the object is first represented as a triangle mesh, and next the interior of the mesh is approximated using a union of spheres.…”

Section: Introductionmentioning

confidence: 99%

Medial Spheres for Shape Approximation

Stolpner¹,

Kry²,

Siddiqi³

2010

Advances in Intelligent and Soft Computing

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We study the problem of approximating a solid with a union of overlapping spheres. We introduce a method based on medial spheres which, when compared to a state-of-the-art approach, offers more than an order of magnitude speedup and achieves a tighter volumetric approximation of the original mesh, while using fewer spheres. The spheres generated by our method are internal to the object, which permits an exact error analysis and comparison with other sphere approximations. We demonstrate that a tight bounding volume hierarchy of our set of spheres may be constructed using rectangle-swept spheres as bounding volumes. Further, once our spheres are dilated, we show that this hierarchy generally offers superior performance in approximate separation distance tests.

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Skeleton‐based Variational Mesh Deformations

Cited by 51 publications

References 58 publications

An Adaptive Hierarchical Approach to the Extraction of High Resolution Medial Surfaces

An Adaptive Hierarchical Approach to the Extraction of High Resolution Medial Surfaces

Footwear bio-modelling: An industrial approach

Medial Spheres for Shape Approximation

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