Reliable feature-line driven quad-remeshing

Pietroni, Nico; Nuvoli, Stefano; Alderighi, Thomas; Cignoni, Paolo; Tarini, Marco

doi:10.1145/3450626.3459941

Cited by 35 publications

(11 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When compared with Pietroni et al. [PNA*21] (see Figure 17), the overall quality is also very similar, except that our method produces simpler configurations because it does not produce singularities that are not present in the input frame field. Our algorithm works well on models with thin features Figure 18 that are known to be difficult to quantize.…”

Section: Resultssupporting

confidence: 54%

See 1 more Smart Citation

Quad Mesh Quantization Without a T‐Mesh

Coudert‐Osmont,

Desobry,

Heistermann

et al. 2023

Computer Graphics Forum

View full text Add to dashboard Cite

Grid preserving maps of triangulated surfaces were introduced for quad meshing because the 2D unit grid in such maps corresponds to a sub‐division of the surface into quad‐shaped charts. These maps can be obtained by solving a mixed integer optimization problem: Real variables define the geometry of the charts and integer variables define the combinatorial structure of the decomposition. To make this optimization problem tractable, a common strategy is to ignore integer constraints at first, then to enforce them in a so‐called quantization step. Actual quantization algorithms exploit the geometric interpretation of integer variables to solve an equivalent problem: They consider that the final quad mesh is a sub‐division of a T‐mesh embedded in the surface, and optimize the number of sub‐divisions for each edge of this T‐mesh. We propose to operate on a decimated version of the original surface instead of the T‐mesh. It is easier to implement and to adapt to constraints such as free boundaries, complex feature curves network etc.

show abstract

Section: Resultssupporting

confidence: 54%

“…A quad mesh (blue) extracted from a grid preserving map has the singularities of the input frame field. Introducing extra singularities [PNA*21] (green) increases the robustness, at the expense of producing more complex structures.…”

Section: Resultsmentioning

confidence: 99%

Quad Mesh Quantization Without a T‐Mesh

Coudert‐Osmont,

Desobry,

Heistermann

et al. 2023

Computer Graphics Forum

View full text Add to dashboard Cite

show abstract

“…When HexBox is used as a remeshing tool, projection is used to displace the vertices of the hexmesh so as to match the input target geometry. Our projection algorithm takes inspiration from the quad reprojection method of QuadWild [PNA*21], in the sense that it uses an inverse projection operator to approximate the target geometry well. In short, rather than projecting the hexmesh vertices directly to the target geometry, we do the opposite, projecting the target geometry to the modelled shape and using the so generated vectors to devise per‐vertex displacements for the hexmesh surface points.…”

Section: Anatomy Of Hexboxmentioning

confidence: 99%

HexBox: Interactive Box Modeling of Hexahedral Meshes

Zoccheddu,

Gobbetti,

Livesu

et al. 2023

Computer Graphics Forum

View full text Add to dashboard Cite

We introduce HexBox, an intuitive modeling method and interactive tool for creating and editing hexahedral meshes. Hexbox brings the major and widely validated surface modeling paradigm of surface box modeling into the world of hex meshing. The main idea is to allow the user to box‐model a volumetric mesh by primarily modifying its surface through a set of topological and geometric operations. We support, in particular, local and global subdivision, various instantiations of extrusion, removal, and cloning of elements, the creation of non‐conformal or conformal grids, as well as shape modifications through vertex positioning, including manual editing, automatic smoothing, or, eventually, projection on an externally‐provided target surface. At the core of the efficient implementation of the method is the coherent maintenance, at all steps, of two parallel data structures: a hexahedral mesh representing the topology and geometry of the currently modeled shape, and a directed acyclic graph that connects operation nodes to the affected mesh hexahedra. Operations are realized by exploiting recent advancements in grid‐based meshing, such as mixing of 3‐refinement, 2‐refinement, and face‐refinement, and using templated topological bridges to enforce on‐the‐fly mesh conformity across pairs of adjacent elements. A direct manipulation user interface lets users control all operations. The effectiveness of our tool, released as open source to the community, is demonstrated by modeling several complex shapes hard to realize with competing tools and techniques.

show abstract

“…They are efficient but contain ill-posed cases with results depending on the implementation. Instead, the general idea of global remeshing [2,14,36,48] is to define a directional field as constraint boundary conditions on a Poisson equation, and then minimize an artificial energy function. After minimization, a new target mesh can be reconstructed from scratch using the solved solution.…”

Section: Polygon Reduction In Geometry Processingmentioning

confidence: 99%

The Human in the Infinite Loop: A Case Study on Revealing and Explaining Human-AI Interaction Loop Failures

Ou,

Buschek,

Mayer

et al. 2022

Preprint

View full text Add to dashboard Cite

A server generates differently processed variations of a complex 3D model and dispatches them to a user interface, which presents those variants to a 3D artist, who in turn rates them. Based on these ratings, new parameter settings are generated and a new set of variations is computed and evaluated again. The process repeats until a satisfactory 3D model is found, that minimizes the number of faces while maintaining as much as possible of its overall appearance.

show abstract

Reliable feature-line driven quad-remeshing

Cited by 35 publications

References 41 publications

Quad Mesh Quantization Without a T‐Mesh

Quad Mesh Quantization Without a T‐Mesh

HexBox: Interactive Box Modeling of Hexahedral Meshes

The Human in the Infinite Loop: A Case Study on Revealing and Explaining Human-AI Interaction Loop Failures

Contact Info

Product

Resources

About