Multilayer feedforward networks are universal approximators
Neural Networks
Fundamentals of three-dimensional computer graphics
Fundamentals of three-dimensional computer graphics
Neurocomputing
Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations
Solving ill-posed problems with artificial neural networks
Neural Networks
The NURBS book
Teddy: a sketching interface for 3D freeform design
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Estimating depth from line drawing
Proceedings of the seventh ACM symposium on Solid modeling and applications
Sketch- and constraint-based design of B-spline surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
IEEE Computer Graphics and Applications
Conceptual design and analysis by sketching
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
3D object reconstruction and representation using neural networks
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Interactive modelling from sketches using spherical implicit functions
AFRIGRAPH '04 Proceedings of the 3rd international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Designing creative artificial systems
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
Kolmogorov's theorem is relevant
Neural Computation
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A novel approach of constructing a freeform surface from 2D planar sketches is proposed. A multilayer perceptron (MLP) neural network was employed to infer 3D freeform surfaces from 2D freehand curves. Planar boundary strokes of a surface patch produced the training set. The neural network (ANN) output mapped 2D points of the sketch curves onto 3D control points of the surface boundary. Internal points were interpolated to create the final surface. Experimentation determined the optimal parameters and ANN architecture. The methodology was applied to synthetic and realistic data. The results demonstrate successful 3D surface inference from planar sketches.