Optimal surface reconstruction from planar contours
Communications of the ACM
Interactive skeleton techniques for enhancing motion dynamics in key frame animation
Communications of the ACM
A color animation system: based on the multiplane technique
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
A new general triangulation method for planar contours
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Inbetweening for computer animation utilizing moving point constraints
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
Conversion of complex contour line definitions into polygonal element mosaics
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
A physically based approach to 2–D shape blending
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
2-D shape blending: an intrinsic solution to the vertex path problem
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
Modeling generalized cylinders via Fourier morphing
ACM Transactions on Graphics (TOG)
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Affective product shapes through image morphing
DPPI '03 Proceedings of the 2003 international conference on Designing pleasurable products and interfaces
Contour Model Guided Image Warping for Medical Image Interpolation
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Blending Multiple Polygonal Shapes
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Graphical Models - Special issue on SPM 05
b-morphs between b-compatible curves in the plane
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
An SL(2) Invariant Shape Median
Journal of Mathematical Imaging and Vision
Parallel shape transformation using slices
SEPADS'11 Proceedings of the 10th WSEAS international conference on Software engineering, parallel and distributed systems
Shape abstraction through multiple optimal solutions
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
The significance of form elements: a study of representational content of design sketches
Procedings of the Second Conference on Creativity and Innovation in Design
Relative accuracy measures for stroke gestures
Proceedings of the 15th ACM on International conference on multimodal interaction
Interactive surface decomposition for polyhedral morphing
The Visual Computer: International Journal of Computer Graphics
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A computer-assisted technique called shape averaging is presented. Shape averaging produces an abstraction of the typical representation from a set of shapes. Since the averaging is assumed to preserve the characteristics of the original shapes, the result is useful in predicting trends in form or extracting stereotypes from a group of related shapes. The technique can be used to create new forms by blending global features of existing unrelated shapes. The syntactic averaging of shapes consisting of 2-D planar polygons or of 3-D objects represented by planar contours is examined. An algorithm is presented to determine the correspondence between polygons defined by arbitrary numbers of vertices. Algorithms to extract the mean, the median, and the mode from the shapes are also introduced. Potential applications of shape averaging in design are illustrated.