Arbitrary-Degree Subdivision with Creases and Attributes

Stewart, Ian; Foisy, A.

doi:10.1080/10867651.2004.10504898

Cited by 4 publications

(2 citation statements)

References 7 publications

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“…Prautzsch [Pra98] and Warren and Weimer [WW01] describe the natural generalization where each smoothing stage replaces a face with its barycenter, and Zorin and Schröder [ZS01] show that the resulting subdivision surfaces are C 1 at singularities for degrees ≤ 9. Stam [Sta01] and Stewart and Foisy [SF04] address some practical considerations by describing variants where the topology of the mesh is invariant under smoothing, while Prautzsch and Chen [PC11] prove C 1 continuity at all degrees ≥ 2. In regular regions, all of these schemes generate tensor‐product B‐splines of any specified degree d , and are therefore C d −1 .…”

Section: New Subdivision Surface Schemesmentioning

confidence: 99%

Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods

Cashman¹

2011

Computer Graphics Forum

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Subdivision surfaces allow smooth free-form surface modelling without topological constraints. They have become a fundamental representation for smooth geometry, particularly in the animation and entertainment industries. This survey summarizes research on subdivision surfaces over the last 15 years in three major strands: analysis, integration into existing systems and the development of new schemes. We also examine the reason for the low adoption of new schemes with theoretical advantages, explain why Catmull-Clark surfaces have become a de facto standard in geometric modelling, and conclude by identifying directions for future research.

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Section: New Subdivision Surface Schemesmentioning

confidence: 99%

Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods

Cashman¹

2011

Computer Graphics Forum

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“…In other cases, particularly for the motion picture industry, there are needs to model sharp changes in differentiability [49]. Some promising techniques have been presented that allow flexibility in moving gracefully between these needs [165]. Is there an appropriate topological abstraction that can be mapped easily to abstract data types that will permit appropriate representations of smoothness for differing applications?…”

Section: ?mentioning

confidence: 99%