Shape reconstruction from planar cross sections
Computer Vision, Graphics, and Image Processing
Arrangements of curves in the plane—topology, combinatorics, and algorithms
Theoretical Computer Science
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Rounding arrangements dynamically
Proceedings of the eleventh annual symposium on Computational geometry
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Optimal surface reconstruction from planar contours
Communications of the ACM
Recent Advances in Image Morphing
CGI '96 Proceedings of the 1996 Conference on Computer Graphics International
Computational Geometry: Theory and Applications
Area, perimeter and derivatives of a skin curve
Computational Geometry: Theory and Applications
Approximating polyhedral objects with deformable smooth surfaces
Computational Geometry: Theory and Applications
Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Partial Similarity of Objects, or How to Compare a Centaur to a Horse
International Journal of Computer Vision
Mesh deformation of dynamic smooth manifolds with surface correspondences
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Computational Geometry: Theory and Applications
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Shape deformation refers to the continuous change of one geometric object to another. We develop a software tool for planning, analyzing and visualizing deformations between two shapes in R^2. The deformation is generated automatically without any user intervention or specification of feature correspondences. A unique property of the tool is the explicit availability of a two-dimensional shape space, which can be used for designing the deformation either automatically by following constraints and objectives or manually by drawing deformation paths.