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Implicit Modelling Using Subdivision-curves

Samuel Hornus 1 Alexis Angelidis 1 Marie-Paule Cani 1, * 
* Corresponding author
1 iMAGIS - Models, Algorithms and Geometry for Computer Generated Image Graphics
GRAVIR - IMAG - Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble, Inria Grenoble - Rhône-Alpes
Abstract : 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. We also present a practical solution to the unwanted blending problem, used to avoid blending between parts of the surface that do not correspond to neighbouring skeletal elements.
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Samuel Hornus, Alexis Angelidis, Marie-Paule Cani. Implicit Modelling Using Subdivision-curves. The Visual Computer, 2003, 19 (2-3), pp.94-104. ⟨inria-00510180⟩

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