A physically based approach to 2–D shape blending
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Feature-based image metamorphosis
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Image warping by radial basis functions: applications to facial expressions
CVGIP: Graphical Models and Image Processing
Skeleton-based three-dimensional geometric morphing
Computational Geometry: Theory and Applications - special issue on virtual reality
Image Morphing of Facial Images Transformation based on Navier Elastic Body Splines
CA '98 Proceedings of the Computer Animation
2D and 3D visibility in discrete geometry: an application to discrete geodesic paths
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Two-Dimensional discrete morphing
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Fuzzy skeleton by influence zones---Application to interpolation between fuzzy sets
Fuzzy Sets and Systems
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In this article we present an algorithm for computing discrete average of n two-dimensional shapes. Our previous work was limited to two shapes, we generalize it to an arbitrary number of objects with consideration of increasing inter-individual variability. The first step of our approach performs a rigid transformation that aligns the shapes as best as possible. The next step consists in searching the progressive metamorphosis of one object toward the other one, that iteratively adds or suppresses pixels. This process is then iterated between the last average shape obtained and the new object from the set according to weighting consideration. It considers the rank in which each shape is added and gives criteria of optimization in variability and global topology preservation. The basic operations are based on geodesic distance transformations and lead to an optimal (linear) algorithm.