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Laplacian-based Design: Sketching 3D Shapes
Bin Sheng; Enhua Wu
Source PublicationThe International Journal of Virtual Reality

The sketch-based shape modeling is one of the most challenging and active problems in computer graphics. In this paper, we present an interactive modeling system for generating free-form surfaces using a 2D sketch interface. Since inferring 3D shape from 2D sketches is an one to many function with no unique solution, we propose to interpret the given 2D curve to be the projection of the 3D curve that has minimum curvature among all the candidates in 3D. In this way, firstly, we present an algorithm to efficiently find a close approximation of this minimum curvature 3D space curve. In the second step, our system could identify the 3D surfaces automatically, and then we apply Delaunay triangulation on these surfaces. Finally, the shape of the triangular surface mesh that follows the 3D profile curves is computed using harmonic interpolation by solving Laplacian equations. We present experimental results on various kinds of drawings by the interactive modeler.

KeywordCurvature Interpolation Free-form Surfaces Sketch
Fulltext Access
Document TypeJournal article
Faculty of Science and Technology
Corresponding AuthorEnhua Wu
AffiliationFaculty of Science and Technology, University of Macau
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Bin Sheng,Enhua Wu. Laplacian-based Design: Sketching 3D Shapes[J]. The International Journal of Virtual Reality,2006,5(3):59-65.
APA Bin Sheng,&Enhua Wu.(2006).Laplacian-based Design: Sketching 3D Shapes.The International Journal of Virtual Reality,5(3),59-65.
MLA Bin Sheng,et al."Laplacian-based Design: Sketching 3D Shapes".The International Journal of Virtual Reality 5.3(2006):59-65.
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