An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Generalized B-spline surfaces of arbitrary topology
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Sculpting: an interactive volumetric modeling technique
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIAM Journal on Scientific and Statistical Computing
Designing solid objects using interactive sketch interpretation
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
SKETCH: an interface for sketching 3D scenes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Theoretical Computer Science - Special issue on computing and combinatorics
Teddy: a sketching interface for 3D freeform design
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Kizamu: a system for sculpting digital characters
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A procedural approach to authoring solid models
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
SmoothSketch: 3D free-form shapes from complex sketches
ACM SIGGRAPH 2006 Papers
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One of the most exciting aspects of shape modeling is the development of new algorithms and methods to create unusual, interesting and aesthetically pleasing shapes. In this paper, we present an interactive modeling system for generating freeform surfaces using a 2D user interface. In this paper, we firstly interpret the given 2D curve to be the projection of the 3D curve that has the minimum curvature. Then we propose a topology-consistent strategy to trace the simple faces on the interconnecting 3D curves. By using the face tracing algorithm, our system can identify the 3D surfaces automatically. After obtaining the boundary curves for the faces, we apply Delaunay triangulation on these faces. Finally, the shape of the triangule surface mesh that follows the 3D boundary curves is computed by using harmonic interpolation. Solving Laplace's equations, we are able to construct simple and conceptual 3D models interactively. Although the incorporation of topological manipulation will introduce many new (and interesting) design problems that cannot be addressed in this paper, we show that automatically generated models are both beneficial and feasible.