Mesh Deformation Method Based on Mean Value Coordinates Interpolation

Sun, Shichao; Lv, Shuming; Yuan, Yuan; Yuan, Mingxuan

doi:10.1016/s0894-9166(16)60002-2

Cited by 7 publications

(6 citation statements)

References 27 publications

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“…If the mesh deformation task is required to be performed once, physical analogy based techniques might be considered as an option. For these reasons, the recent trend in handling the mesh deformation problem has been focusing more on using interpolation based techniques [59][60][61].…”

Section: Discussionmentioning

confidence: 99%

Mesh Deformation Approaches – A Survey

Mm¹,

Rp²

2016

J Phys Math

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This survey reviews the recent development of mesh deformation methods. During the past two decades a vast number of researches have been concerned with developing an efficient and robust mesh deformation technique. This has been achieved either by proposing a novel approach, improving an existing one, or by combining two existing approaches together resulting in a new hybrid approach. It is important to keep track of the most up to date developments in the field of mesh deformation, in order to allow the researchers to adopt the most efficient and application compatible scheme as well as to propose new methods of improvements. In this survey the mesh deformation techniques have been classified into two main categories, 1) physical analogy based techniques and 2) interpolation based techniques. The most significant techniques under these two classes are reviewed and the aspects of strength and weaknesses are highlighted.

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Section: Discussionmentioning

confidence: 99%

Mesh Deformation Approaches – A Survey

Mm¹,

Rp²

2016

J Phys Math

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“…The airfoil moves 6 units to the both down and right while it rotates 75 degrees counterclockwise around its aerodynamic center, which is a very typical case for mesh deformation. The deformed mesh obtained using the mesh deformation method proposed in Reference [33] is shown in Figure 7a, and the deformation is accomplished in a single step. Due to the large deformation, the deformed mesh has 459 inverted elements.…”

Section: Mesh Deformation Examplementioning

confidence: 99%

Simultaneous Smoothing and Untangling of 2D Meshes Based on Explicit Element Geometric Transformation and Element Stitching

2020

Self Cite

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Mesh quality can affect both the accuracy and efficiency of numerical solutions. This paper first proposes a geometry-based smoothing and untangling method for 2D meshes based on explicit element geometric transformation and element stitching. A new explicit element geometric transformation (EEGT) operation for polygonal elements is firstly presented. The transformation, if applied iteratively to an arbitrary polygon (even inverted), will improve its regularity and quality. Then a well-designed element stitching scheme is introduced, which is achieved by carefully choosing appropriate element weights to average the temporary nodes obtained by the above individual element transformation. Based on the explicit element geometric transformation and element stitching, a new mesh smoothing and untangling approach for 2D meshes is proposed. The proper choice of averaging weights for element stitching ensures that the elements can be transitioned smoothly and uniformly throughout the calculation domain. Numerical results show that the proposed method is able to produce high-quality meshes with no inverted elements for highly tangled meshes. Besides, the inherent regularity and fine-grained parallelism make it suitable for implementation on Graphic Processor Unit (GPU).

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“…To satisfy the positive nature of interpolation coordinates, Lipman et al [16] added a rough control mesh that contains a deformed shape, which could satisfy the positive qualitative requirement but is only linearly smooth. Sun et al [17] used MVC for mesh deformation in 2016; they need to find the visible boundary of each node before calculating the mean value coordinates.…”

Section: Fit Evaluationmentioning

confidence: 99%

“…, defined cyclically; see Figure 5. The mean value coordinates are described by (16) and (17), as follows:…”

Section: Maximum Entropy Coordinatesmentioning

confidence: 99%

Fit Evaluation during Repetition Interaction in Garment Pattern Design

Zhu

Peng

2019

Mathematical Problems in Engineering

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We present a novel virtual try-on solution for fitting evaluation and pattern modification to design various types of garment and speed up the garment design process. In the phase of fit evaluation, we propose a method for producing two-dimensional (2D) color maps by comparing a 2D triangle mesh panel garment and a 3D triangle mesh garment, which can display the fit evaluation outcome in real time. In the phase of pattern modification, a novel prior condition based on maximum entropy coordinates and a more comprehensive mean value coordinates interpolation algorithm are proposed. By a combination of the two deformation methods, the positions of the internal vertices are updated smoothly. Applying the proposed method to the repetition of the garment design procedure, the experimental results show that it can easily pinpoint the location where it needs to be modified and can achieve arbitrary pattern modification with a smooth mesh update.

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Mesh Deformation Method Based on Mean Value Coordinates Interpolation

Cited by 7 publications

References 27 publications

Mesh Deformation Approaches – A Survey

Mesh Deformation Approaches – A Survey

Simultaneous Smoothing and Untangling of 2D Meshes Based on Explicit Element Geometric Transformation and Element Stitching

Fit Evaluation during Repetition Interaction in Garment Pattern Design

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