The NURBS book
3D Reconstruction of parametric curves: recovering the control points
Machine Graphics & Vision International Journal
Regularity selection for effective 3D object reconstruction from a single line drawing
Pattern Recognition Letters
A freehand sketching interface for progressive construction of 3D objects
Computers and Graphics
CrossShade: shading concept sketches using cross-section curves
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Fast and globally optimal single view reconstruction of curved objects
CVPR '12 Proceedings of the 2012 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
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In this paper, we present a method to recover solid objects from 2D drawings with both straight and curved edges. Straight edges are recovered by recovering their end points; curves are recovered by recovering their control points. An input curve is approximated first as two polylines, such that we have a drawing with only straight edges. An effective established method is used to recover the object in this drawing as a planar polyhedron. We then reconstruct the 3D curved edges by recovering their control points using the planar 3D geometry, and then fit curved surfaces over face loops with curved bounding edges. The results of our implementation show that the recovered objects correspond to the human perception of what they should be. However, work remains in producing a measure on the goodness of the result and providing handles to allow the control of the final outcome, as curved surfaces recovered are not unique.