Boundary aligned smooth 3d cross-frame field

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WebDec 12, 2011 · Abstract. In this paper, we present a method for constructing a 3D cross-frame field, a 3D extension of the 2D cross-frame field as applied to surfaces in … WebZhejiang University

A Variational Method for Generating $n$-Cross Fields Using …

WebWe apply this representation to compute 3D cross fields that are as smooth as possible everywhere but on a prescribed network of singular curves—since these fields are adapted to curve tangents, they can be directly used as input for field-guided mesh generation algorithms. ... Boundary Aligned Smooth 3D Cross-frame Field. ACM Trans. Graph ... WebThrough minimization of this measure under certain boundary conditions, we can construct a smooth 3D cross-frame field that is aligned with the surface normal at the … pick up chix

Boundary aligned smooth 3D cross-frame field ACM …

WebTetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in three-dimensional domains in which the boundary normal vector is included in the frame on the boundary. To do this, we identify an isomorphism between a given tetrahedral frame … Web1 day ago · The confocal fluorescence images of the composite of cell tracker-labeled cells and FITC-label fibrin hydrogel were reconstructed to 3D profiles in NIS Viewer software (Nikon), and their cross ... WebNov 1, 2012 · Given a volume represented by a tetrahedral mesh, we first compute a boundary-aligned 3D frame field inside it, then convert the frame field to be singularity-restricted by our effective topological operations. In our all-hex meshing framework, we apply the CubeCover method to achieve the volume parametrization. pick up chick fil a

Smoothness driven frame field generation for hexahedral meshing

Singularity-constrained octahedral fields for hexahedral meshing

WebDec 12, 2011 · Boundary Aligned Smooth 3D Cross-Frame Field Jin Huang Yiying Tong ¡ Hongyu Wei Hujun Bao ¡ State Key Lab of CAD&CG, Zhejiang University Michigan State University Figure 1: Snapshots of the optimization procedure to construct a boundary aligned 3D cross-frame eld. The top row shows the internal streamlines. The next row … WebDec 12, 2011 · With such a representation, we can formulate an efficient smoothness measure of the cross-frame field. Through minimization of this measure under certain … pickupcity.comhttp://www.cad.zju.edu.cn/home/bao/ top achat smartphone

"WebMar 1, 2016 · We propose a novel algorithm to generate block-structured hexahedral meshes for any CAD domain.The proposed approach does not require a pre-meshed boundary.The frame field is built so that singularities are better positioned.A skeleton is built using the frame field.Each part defined by the skeleton can be meshed with a … " - Boundary aligned smooth 3d cross-frame field

Boundary aligned smooth 3d cross-frame field

WebMay 1, 2015 · We propose to minimize the overall energy integrated over the whole mesh with a relaxation-enhanced solver and optimize the energy globally. This is different from the conventional approach of surface parameterization … WebOct 14, 2015 · Original paper: http://dl.acm.org/citation.cfm?id=2024177Slides: http://research.nii.ac.jp/~takayama/misc/3d-frame-field-mcg15-2nd.pdfCode: …

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WebMetric-Driven 3D Frame Field Generation Article Dec 2024 Xianzhong Fang Jin Huang Yiying Tong Hujun Bao Controlling the size and shear of elements is crucial in pure hex or hex-dominant... WebControlling the size and shear of elements is crucial in pure hex or hex-dominant meshing. To this end, non-orthonormal frame fields that are almost everywhere integrable (except for the singularities) can play a key role. However, it is often challenging ...

WebThe procedure for generating the quad mesh is to (i) find a complex-valued “representation” field that minimizes the Ginzburg--Landau energy subject to a boundary constraint, (ii) convert the representation field into a boundary-aligned, smooth cross field, (iii) use separatrices of the cross field to partition the domain into four-sided regions, … Weba smooth 3D cross-frame ﬁeld that is aligned with the surface nor-mal at the boundary. We visualize the resulting cross-frame ﬁeld through restrictions to the boundary …

WebJul 2, 2024 · The aim of our work is to build smooth cross fields in general 3D domains. For that, we will solve a boundary value problem for the nine ... H. Bao, Boundary aligned smooth 3D cross-frame field, in ACM Transactions on Graphics (TOG), vol. 30 (ACM, New York, 2011), p. 143. Google Scholar N. Ray, D. Sokolov, B. Lévy, Practical 3D … WebIn this paper,we present a method for constructing a 3D cross-frame field,a 3D extension of the 2D cross-frame field as applied to surfaces in applications such as quadrangulation and texture synthesis.In contrast to the surface cross-frame field (equivalent to a 4-way rotational-symmetry vector field),symmetry for 3D cross-frame fields cannot be …

WebWe introduce a fundamentally new representation of such 3D cross fields based on Cartan's method of moving frames. Our key observation is that cross fields and ordinary frame fields are locally characterized by identical conditions on their Darboux derivative. Hence, by using derivatives as the principal representation (and only later ...

WebAn $n$-cross field is a locally defined orthogonal coordinate system invariant with respect to the hyperoctahedral symmetry group (cubic for $n=3$). Cross fields are finding wide … topachat rtx 3070WebBoundary Aligned Smooth 3D Cross-Frame Field Jin Huang, Yiying Tong, Hongyu Wei, Hujun Bao SIGGRAPH Asia 2011 Kenshi Takayama Assistant Prof @ National Insitute … topachat soldeWebDec 12, 2011 · Abstract: In this paper, we present a method for constructing a 3D cross-frame field, a 3D extension of the 2D cross-frame field as applied to surfaces in … pick up cinese wallWebEfficient View Synthesis and 3D-based Multi-Frame Denoising with Multiplane Feature Representations Thomas Tanay · Ales Leonardis · Matteo Maggioni Diffusion-Based Signed Distance Fields for 3D Shape Generation Jaehyeok Shim · Changwoo Kang · Kyungdon Joo Persistent Nature: A Generative Model of Unbounded 3D Worlds topachat watercoolingWebBoundary aligned smooth 3D cross-frame field. TOG 30, 6 (Dec. 2011), 143:1--143:8. Tengfei Jiang, Jin Huang, Yuanzhen Wang, Yiying Tong, and Hujun Bao. 2014. Frame field singularity correction for automatic hexahedralization. TVCG 20, 8 (2014), 1189--1199. R. A. Kennedy and P. Sadeghi. 2013. Hilbert Space Methods in Signal Processing. top ac heating \u0026 air conditioningWebSupporting: 1, Mentioning: 43 - This paper presents a new technique for frame field generation. As generic frame fields (with arbitrary anisotropy, orientation, and sizing) can be regarded as cross fields in a specific Riemannian metric, we tackle frame field design by first computing a discrete metric on the input surface that is compatible with a sparse … pickup city auto partsWebBoundary Aligned Smooth 3D Cross-Frame Field. Jin Huang，Yiying Tong，Hongyu Wei，Hujun Bao. ACM Transactions on Graphics (TOG), 30(6):143，2011 Interactive Shape Interpolation through Controllable Dynamic Deformation. Jin Huang，Yiying Tong，Kun Zhou，Hujun Bao，Mathieu Desbrun. IEEE Trans. Vis. Comput. pick up clase a o b