SmoothSketch: 3D free-form shapes from complex sketches. We introduce SmoothSketch---a system for inferring plausible 3D free-form shapes from visible-contour sketches. In our system, a user’s sketch need not be a simple closed curve as in Igarashi’s Teddy [1999], but may have cusps and T-junctions, i.e., endpoints of hidden parts of the contour. We follow a process suggested by Williams [1994] for inferring a smooth solid shape from its visible contours: completion of hidden contours, topological shape reconstruction, and smoothly embedding the shape via relaxation. Our main contribution is a practical method to go from a contour drawing to a fairly smooth surface with that drawing as its visible contour. In doing so, we make several technical contributions: • extending Williams’ and Mumford’s work [Mumford 1994] on figural completion of hidden contours containing T-junctions to contours containing cusps as well, • characterizing a class of visible-contour drawings for which inflation can be proved possible, • finding a topological embedding of the combinatorial surface that Williams creates from the figural completion, and • creating a fairly smooth solid shape by smoothing the topological embedding using a mass-spring system.We handle many kinds of drawings (including objects with holes), and the generated shapes are plausible interpretations of the sketches. The method can be incorporated into any sketch-based free-form modeling interface like Teddy.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 4 articles )

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  1. Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio: An explicit formula for a Bennequin-type invariant of apparent contours (2009)
  2. Hu, Jian-Wei; Liu, Li-Gang; Wang, Guo-Zhao: Easy cross parameterization for articulated shapes (2009)
  3. Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio: Topological and variational properties of a model for the Reconstruction of Three-dimensional transparent images with Self-occlusions (2008) ioport
  4. Karpenko, Olga A.; Hughes, John F.: Smoothsketch: 3D free-form shapes from complex sketches. (2006) ioport