Implicit Modelling Using Subdivision curves

Hornus Samuel, Angelidis Alexis, Cani Marie-Paule
Visual Comput., 19 (2-3), 94–104, 2003.
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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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author = {Samuel Hornus and Alexis Angelidis and Marie-Paule Cani},
title = {Implicit Modelling Using Subdivision curves},
journal = {Visual Comput.},
volume = 19,
number = {2-3},
pages = {94--104},
keywords = {convolution surfaces, level of detail, implicit surfaces},
month = mai,
year = 2003

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