Interactive shape modeling using a skeleton-mesh co-representation

Bærentzen, Jakob Andreas; Abdrashitov, Rinat; Singh, Karan

doi:10.1145/2601097.2601226

Cited by 30 publications

(24 citation statements)

References 44 publications

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“…The scaffold is in most applications an intermediate step [4,5,7,15,16,23,24,26]. Although we present theoretical results and practical algorithms we also want to showcase an example application.…”

Section: Application To Polygonizationmentioning

confidence: 99%

“…A scaffold can be used to generate a surface, either by subdivision as in [4], or as initial patchwork for a spline surface [7,16] (see Figure 1). It is used as an intermediate step in the extraction of a quad layout on a given triangular mesh [5,24], and for compatible quadrangulation [26]. An application we present here is the polygonization of skeleton-based implicit surfaces into quad-dominant meshes.…”

Section: Introductionmentioning

confidence: 99%

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Scaffolding skeletons using spherical Voronoi diagrams: Feasibility, regularity and symmetry

Suárez

Hubert

2018

Computer-Aided Design

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Given a skeleton made of line segments we describe how to obtain a coarse quad mesh of a surface that encloses tightly the skeleton and follows its structure -the scaffold. We formalize as an Integer Linear Program the problem of constructing an optimal scaffold that minimizes the total number of quads on the mesh. We prove the feasibility of the Integer Linear Program for any skeleton. In particular we can generate these scaffolds for skeletons with cycles. We additionally show how to obtain regular scaffolds, i.e. with the same number of quad patches around each line segment, and symmetric scaffolds that respect the symmetries of the skeleton. An application to polygonization of skeleton-based implicit surfaces is also presented.

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Section: Application To Polygonizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scaffolding skeletons using spherical Voronoi diagrams: Feasibility, regularity and symmetry

Suárez

Hubert

2018

Computer-Aided Design

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“…More recently, modeling methods for articulated, organic shapes based on polar and quad representations have been presented in Refs. [11,12].…”

Section: Previous Workmentioning

confidence: 99%

Anisotropic deformation for local shape control

et al. 2017

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We present a novel approach to mesh deformation that enables simple context sensitive manipulation of 3D geometry. The method is based on locally anisotropic transformations and is extended to global control directions. This allows intuitive directional modeling within an easy to implement framework.The proposed method complements current sculpting paradigms by providing further possibilities for intuitive surface-based editing without the need for additional host geometries. We show the anisotropic deformation to be seamlessly transferable to free boundary parameterization methods, which allows us to solve the hard problem of flattening compression garments in the domain of apparel design.

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“…With their ease of control, arising from a natural tie to curve skeletons, GCs are frequently adopted for shape modeling [Zheng et al 2011;Jacobson et al 2014;Baerentzen et al 2014] and interactive surface reconstruction [Li et al 2010;Chen et al 2013;Yin et al 2014].…”

Section: Introductionmentioning

confidence: 99%

Generalized cylinder decomposition

Zhou¹,

Yin²,

Huang³

et al. 2015

ACM Trans. Graph.

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Decomposing a complex shape into geometrically simple primitives is a fundamental problem in geometry processing. We are interested in a shape decomposition problem where the simple primitives sought are generalized cylinders, which are ubiquitous in both organic forms and man-made artifacts. We introduce a quantitative measure of cylindricity for a shape part and develop a cylindricitydriven optimization algorithm, with a global objective function, for generalized cylinder decomposition. As a measure of geometric simplicity and following the minimum description length principle, cylindricity is defined as the cost of representing a cylinder through skeletal and cross-section profile curves. Our decomposition algorithm progressively builds local to non-local cylinders, which form over-complete covers of the input shape. The over-completeness of the cylinder covers ensures a conservative buildup of the cylindrical parts, leaving the final decision on decomposition to global optimization. We solve the global optimization by finding an exact cover, which optimizes the global objective function. We demonstrate results of our optimal decomposition algorithm on numerous examples and compare with other alternatives.

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Interactive shape modeling using a skeleton-mesh co-representation

Cited by 30 publications

References 44 publications

Scaffolding skeletons using spherical Voronoi diagrams: Feasibility, regularity and symmetry

Scaffolding skeletons using spherical Voronoi diagrams: Feasibility, regularity and symmetry

Anisotropic deformation for local shape control

Generalized cylinder decomposition

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