Recent Progress in Subdivision: a Survey

Sabin, Malcolm

doi:10.1007/3-540-26808-1_11

Cited by 23 publications

(14 citation statements)

References 84 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sabin shows an analogue of the four-point scheme, in which the computation of the new vertices is not expressed in terms of linear combinations, but as a non-linear geometric construction. The non-stationarity is present in the non-linearity, but is hidden under an apparently constant construction (Sabin, 2005).…”

Section: Background Review Of Subdivision Methods In Geometric Designmentioning

confidence: 99%

See 1 more Smart Citation

Subdivision-based integration of geometric design and finite element mesh generation for sheet metal structures

Wang

2008

IJCAT

View full text Add to dashboard Cite

Subdivision methods have been mainly used in computer graphics. This paper extends their applications to the integration of geometric design and Finite Element Analysis (FEA) for sheet metal structures, and fulfils the seamless integration of geometric design and FEA in the model and representation. A common model or a unified representation for geometric design and FEA was created with subdivision surfaces for sheet metal structures. Automatic mesh generation for geometric design and FEA was fulfilled through subdivision methods. The seamless integration can improve the accuracy in numerical analysis and shorten the cycle for the geometric design and the FEA of sheet metal structures. 'Subdivision-based integration of geometric design and finite element mesh generation for sheet metal structures', Int. J.

show abstract

Section: Background Review Of Subdivision Methods In Geometric Designmentioning

confidence: 99%

“…Dyne and Lyche designed a specific bivariate Hermite subdivision scheme generating the Powell-Sabin twelve-split quadratic Spline. Han et al defined the notion of non-interpolatory Hermite subdivision schemes and designed a family of such schemes for surface generation (Sabin, 2005).…”

Section: Background Review Of Subdivision Methods In Geometric Designmentioning

confidence: 99%

Subdivision-based integration of geometric design and finite element mesh generation for sheet metal structures

Wang

2008

IJCAT

View full text Add to dashboard Cite

show abstract

“…These are iterative algorithms that consist of dividing the faces of a mesh and applying a relaxation function to the vertices. We have found applying a single iteration of Loop Subdivision [15] improves visual quality significantly (see [22] for a recent survey on the topic).…”

Section: Meshing Point-cloudsmentioning

confidence: 99%

Automated avatar creation for 3D games

Hogue

Gill

Jenkin

2007

Proceedings of the 2007 Conference on Future Play - Future Play '07

View full text Add to dashboard Cite

Immersion is a key factor in video games and virtual reality simulation environments. Users' presence in a virtual environment is highly dependent on the user's identification with their avatar. Creating more realistic looking avatars thus enables a higher level of presence. Current video games allow character customizability via techniques such as hue adjustment for stock models, or the ability to select from a variety of physical features, clothing and accessories in existing player models. Occasionally user uploadable facial texture is available for avatar customization. We propose a dramatic leap forward in avatar customization through the use of an inexpensive, non-invasive, portable stereo video camera to extract model geometry of real objects, including people, and to then use these textured 3D models to drive avatar creation. The system described here generates the 3D textured and normal-mapped geometry of a personalized photorealistic user avatar suitable for animation and real-time gaming applications.

show abstract

“…to dealing with such extraordinary points is to use subdivision surfaces [73,74,75,76,77,78,79,80]. In practice, the most popular approaches generalize uniform B-spline knot insertion, also known as h-refinement.…”

Section: The Unstructured T-spline Basismentioning

confidence: 99%

Isogeometric boundary element analysis using unstructured T-splines

Scott

Simpson

Evans

et al. 2013

Computer Methods in Applied Mechanics and Engineering

348

254

View full text Add to dashboard Cite

We couple collocated isogeometric boundary element methods and unstructured analysissuitable T-spline surfaces for linear elastostatic problems. We extend the definition of analysis-suitable T-splines to encompass unstructured control grids (unstructured meshes) and develop basis functions which are smooth (rational) polynomials defined in terms of the Bézier extraction framework and which pass standard patch tests. We then develop a collocation procedure which correctly accounts for sharp edges and corners, extraordinary points, and T-junctions. This approach is applied to several three-dimensional problems, including a real-world T-spline model of a propeller. We believe this work clearly illustrates the power of combining new analysis-suitable computer aided design technologies with established analysis methodologies, in this case, the boundary element method.

show abstract

Recent Progress in Subdivision: a Survey

Cited by 23 publications

References 84 publications

Subdivision-based integration of geometric design and finite element mesh generation for sheet metal structures

Subdivision-based integration of geometric design and finite element mesh generation for sheet metal structures

Automated avatar creation for 3D games

Isogeometric boundary element analysis using unstructured T-splines

Contact Info

Product

Resources

About