Visual Design and Engineering Laboratory

Carnegie Mellon University

Sketch-Based Modeling of Smooth Surfaces Using Adaptive Curve Networks


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We present a new 3D surface modeling method that enables a rapid creation and modification of globally smooth surfaces from curve networks. The key feature of the proposed method is that it assumes the sketched curve networks to be malleable rather than rigid, thus enabling a mediation between curve interpolation versus surface smoothness. In the first step, the user sketches a network topology in the form of cubic feature edges. The curve network serves as an initial control mesh, from which a subdivision surface is computed. The subdivision surface is then iteratively modified to make the limit surface interpolate the original curve network at an arbitrary number of points, while minimizing the curvature variation energy of the surface. For networks in which this forced interpolation causes undesirable distortions to the surface, the network is automatically adjusted to make it conform to a smoothed version of the surface. This approach enables a concurrent modeling of the curve network and the underlying surface, thus eliminating the need for a laborious, iterative adjustment of the curve network for smooth surface creation.


Gunay Orbay, Levent Burak Kara. (2011). Sketch-Based Modeling of Smooth Surfaces using Adaptive Curve Networks. Eurographics Symposium on Sketch-Based Interfaces and Modeling (SBIM). Vancouver, Canada.

 author = {Orbay, G\"{u}nay and Kara, Levent Burak},
 title = {Sketch-based modeling of smooth surfaces using adaptive curve networks},
 booktitle = {Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling},
 series = {SBIM '11},
 year = {2011},
 isbn = {978-1-4503-0906-6},
 location = {Vancouver, British Columbia, Canada},
 pages = {71--78},
 numpages = {8},
 url = {},
 doi = {10.1145/2021164.2021177},
 acmid = {2021177},
 publisher = {ACM},
 address = {New York, NY, USA},