An interface for sketching 3D curves
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization
Free-Form Sketching of Self-Occluding Objects
IEEE Computer Graphics and Applications
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
International Journal of Bioinformatics Research and Applications
Curvature and torsion estimators based on parametric curve fitting
Computers and Graphics
Sketching of Mirror-Symmetric Shapes
IEEE Transactions on Visualization and Computer Graphics
Inferring mirror symmetric 3D shapes from sketches
Computer-Aided Design
Floating tangents for approximating spatial curves with G1 piecewise helices
Computer Aided Geometric Design
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We describe a method for a reconstructing piecewise helix curve from its 2D sketch. The system takes as input a hand-drawn polygonal curve and generates a piecewise helix curve such that its orthogonal projection matches the input curve. The first step is an algorithm to generate a set of helices such that their orthogonal projection approximates the input curve. This step is followed by a global optimization to minimize the tangent discontinuity of the junctions of the helices while keeping the fitting error small.