Feature-aligned T-meshes

Myles, Ashish; Pietroni, Nico; Kovacs, Denis; Zorin, Denis

doi:10.1145/1833349.1778854

Cited by 22 publications

(32 citation statements)

References 27 publications

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“…for either

λ (a) = u

λ (a) = v

, where this subscript extracts the u ‐ or v ‐component of the tuple. This can be incorporated into as linear constraint [MPKZ10]; we only need to determine the arc labelling λ, i.e. whether an iso‐ u or an iso‐ v constraint should be used for an arc.…”

Section: Aligned Parameterizationmentioning

confidence: 99%

“…We could make this decision by rating an arc's alignment to the u ‐ and v ‐directions in an unconstrained parameterization [MPKZ10] or based on local angle considerations [TACSD06]. While this can be sufficient locally for single arcs, we need to setup constraints for all arcs.…”

Section: Aligned Parameterizationmentioning

confidence: 99%

“…Section ), which rely on fixed (unit) patch extents or initial estimates, followed by an iterative adjustment procedure. In particular, we thus do not depend on the quality of the arcs' initial embedding; it is only the arcs' path homotopy classes (with respect to the surface punctured at the singularities) that matters [MPKZ10].…”

Section: Aligned Parameterizationmentioning

confidence: 99%

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Quad Layout Embedding via Aligned Parameterization

Campen

Kobbelt

2014

Computer Graphics Forum

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Quad layouting, i.e. the partitioning of a surface into a coarse network of quadrilateral patches, is a fundamental step in application scenarios ranging from animation and simulation to reverse engineering and meshing. This process involves determining the layout's combinatorial structure as well as its geometric embedding in the surface. We present a novel quad layout algorithm that focuses on the embedding optimization, thereby complementing recent methods focusing on the structure optimization aspect. It takes as input a description of the target layout structure and computes a complete embedding in form of a parameterization globally optimized for isometry and, in particular, principal direction alignment. Besides being suited for fully automatic workflows, our method can also incorporate user constraints and support the tedious but common procedure of manual layouting.

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“…for either

λ (a) = u

λ (a) = v

Section: Aligned Parameterizationmentioning

confidence: 99%

Section: Aligned Parameterizationmentioning

confidence: 99%

Section: Aligned Parameterizationmentioning

confidence: 99%

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Quad Layout Embedding via Aligned Parameterization

Campen

Kobbelt

2014

Computer Graphics Forum

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“…As a result ( Figure 12) we obtain quadrangular charts with T-junctions everywhere except when a degeneracy is prescribed by feature curves as in the fandisk model. Such T-meshes could be useful after optimization, as proposed in [MPKZ10].…”

Section: Applicationsmentioning

confidence: 99%

Robust Polylines Tracing for N-Symmetry Direction Field on Triangulated Surfaces

Ray

Sokolov

2014

ACM Trans. Graph.

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Figure 1: Our algorithm traces polylines on triangulated surfaces. Unlike streamline tracing algorithms, polylines produced by our technique cannot cross each others. It works even with highly perturbed surfaces (left) and supports any type of vector field singularities (right). This property is required to segment surfaces with chart boundaries aligned with a vector field (right). AbstractWe propose an algorithm for tracing polylines on a triangle mesh such that: they are aligned with a Nsymmetry direction field, and two such polylines cannot cross or merge. This property is fundamental for mesh segmentation and is very difficult to enforce with numerical integration of vector fields. We propose an alternative solution based on "stream-mesh", a new combinatorial data structure that defines, for each point of a triangle edge, where the corresponding polyline leaves the triangle. It makes it possible to trace polylines by iteratively crossing trian- * e-mail: ray@loria.fr † e-mail: sokolovd@loria.fr gles. Vector field singularities and polyline/vertex crossing are characterized and consistently handled. The polylines inherits the cross-free property of the stream-mesh, except inside triangles where avoiding local overlaps would require higher order polycurves.

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“…There has been much recent work in the generation of a quad mesh given an input triangular mesh, i.e., quadrangulation. Typical approaches include tracing evenly spaced hyperstreamlines [Alliez et al 2003;Marinov and Kobbelt 2004;Dong et al 2005], constructing a global parameterization [Ray et al 2006;Kälberer et al 2007;Bommes et al 2009;Zhang et al 2010], and generating a patch layout on the surface that facilitates quadrangular remeshing [Dong et al 2006;Tong et al 2006;Myles et al 2010]. For approaches depending on hyperstreamline tracing and global parameterizations, a guiding 4-way rotational symmetry (4-RoSy) field is needed.…”

Section: Related Workmentioning

confidence: 99%

Connectivity editing for quadrilateral meshes

et al. 2011

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Figure 1: We introduce connectivity editing operations to control irregular vertices in quadrilateral meshes. This can lead to improved results in the design of a glass structure: (a) top: the original mesh with irregular vertices as colored dots, (a) bottom: a stripe pattern applied to the mesh, (b) a rendering of the design as glass construction. In (c) and (d) we show the edited mesh. The glass panels on the roof are generated from the edges in the meshes. AbstractWe propose new connectivity editing operations for quadrilateral meshes with the unique ability to explicitly control the location, orientation, type, and number of the irregular vertices (valence not equal to four) in the mesh while preserving sharp edges. We provide theoretical analysis on what editing operations are possible and impossible and introduce three fundamental operations to move and re-orient a pair of irregular vertices. We argue that our editing operations are fundamental, because they only change the quad mesh in the smallest possible region and involve the fewest irregular vertices (i.e., two). The irregular vertex movement operations are supplemented by operations for the splitting, merging, canceling, and aligning of irregular vertices. We explain how the proposed highlevel operations are realized through graph-level editing operations such as quad collapses, edge flips, and edge splits. The utility of these mesh editing operations are demonstrated by improving the connectivity of quad meshes generated from state-of-art quadrangulation techniques.

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Feature-aligned T-meshes

Cited by 22 publications

References 27 publications

Quad Layout Embedding via Aligned Parameterization

Quad Layout Embedding via Aligned Parameterization

Robust Polylines Tracing for N-Symmetry Direction Field on Triangulated Surfaces

Connectivity editing for quadrilateral meshes

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