Boundary aligned smooth 3d cross-frame field
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 … 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 …
Boundary aligned smooth 3d cross-frame field
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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. WebBoundary Aligned Smooth 3D Cross-frame Field. ACM Trans. Graph. 30, 6, Article 143 (Dec. 2011), 8 pages. Tengfei Jiang, Jin Huang, Yuanzhen Wang, Yiying Tong, and Hujun Bao. 2014. Frame Field Singularity Correction for Automatic Hexahedralization. IEEE Trans. on Visualization & Computer Graphics 20, 8 (Aug. 2014), 1189--1199.
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 ... WebEfficient 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
WebFeb 21, 2024 · The most promising recent techniques have relied on the generation of a smooth, boundary-aligned frame field . A frame consists of three mutually perpendicular unit vectors suggesting the optimum orientation of a cubical element at that position. ... Huang, J., Tong, Y., Wei, H., Bao, H.: Boundary aligned smooth 3D cross-frame field. … 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 …
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 …
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 … smiley sternWebThe 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, … smileys taxi hunterhttp://www.cad.zju.edu.cn/home/bao/ smileys teamsWebAn $n$-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 … smileys telefonWebBoundary aligned smooth 3D cross-frame field. TOG 30, 6 (Dec. 2011), 143:1–143:8.Google ScholarDigital Library 15. 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.Google ScholarDigital Library smiley stempelWebDec 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 … smileys texteWebWe 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 ... smileys telephone