Adaptive implicit modeling using subdivision curves and surfaces as skeletons
Proceedings of the seventh ACM symposium on Solid modeling and applications
Realtime visualization of implicit objects with contact control
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Mesh forging: editing of 3D-meshes using implicitly defined occluders
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Technical Section: Interactive function-based shape modelling
Computers and Graphics
Technical Section: Locally restricted blending of Blobtrees
Computers and Graphics
Convolution surfaces based on polygonal curve skeletons
Journal of Symbolic Computation
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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 C1 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.