Reconstruction of 3D objects form orthographic projections
Computer Graphics Forum
Automatic construction of curvilinear solids from wireframe views
Computer-Aided Design
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
The NURBS book
Two accelerating techniques for 3D reconstruction
Journal of Computer Science and Technology
Solid model input through orthographic views
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
IBM Journal of Research and Development
IBM Journal of Research and Development
Converting hybrid wire-frames to B-rep models
Proceedings of the 2007 ACM symposium on Solid and physical modeling
"3D reconstruction problem": an automated procedure
AMERICAN-MATH'11/CEA'11 Proceedings of the 2011 American conference on applied mathematics and the 5th WSEAS international conference on Computer engineering and applications
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The reconstruction of 3D objects from 2D orthographic views is very important for the maintenance and continued development of existing product designs. An efficient method for generating 3D curvilinear wire-frames from three orthographic views is presented, which is the pivotal stage of solid reconstruction by wire-frame-oriented approaches. By unifying the recovery of spatial conics without restrictions on their positions, our method can improve the efficiency and reliability of curvilinear wire-frame reconstruction. A projection matching algorithm is proposed to efficiently reveal all match projections according to the projective properties of spatial edges. Furthermore, a four-point method, which is based on the rational Bezier form of conics, is proposed to uniformly generate various types of conics in arbitrary positions. Several examples are provided.