Subdivision Curve Primitives: a New Solution for Interactive Implicit Modeling

To remain an attractive model, skeleton-based implicit surfaces have to allow the design and display of shapes at interactive rates. This paper focuses on surfaces whose skeletons are graphs of interconnected curves. We present subdivision-curve primitives that rely on convolution for generating bulge-free and crease-free implicit surfaces. These surfaces are efficiently yet correctly displayed using local meshes around each curve that locally overlap in blending regions. Subdivision-curve primitives offer a practical solution to the unwanted-blending problem that ensures $C^1$ continuity everywhere. Moreover, they can be used to generate representations at different levels of detail, enabling the interactive display of at least a coarse version of the objects, whatever the performance of the workstation.

@InProceedings\{CH01,
  author       = "Cani, Marie-Paule and Hornus, Samuel",
  title        = "Subdivision Curve Primitives: a New Solution for Interactive Implicit Modeling",
  booktitle    = "Shape Modeling International",
  month        = "May",
  year         = "2001",
  publisher    = "IEEE Computer Society Press",
  organization = "IEEE",
  address      = "Italy",
  url          = "http://artis.imag.fr/Publications/2001/CH01"
}