Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Scheduled Fourier volume morphing
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
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
Hausdorff distances and interpolations
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Sets, partitions and functions interpolations
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Digital Image Warping
Introduction to Computer Graphics
Introduction to Computer Graphics
A Level-Set Approach for the Metamorphosis of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Morphological Interpolation and Color Images
ICIAP '99 Proceedings of the 10th International Conference on Image Analysis and Processing
VIS '94 Proceedings of the conference on Visualization '94
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This paper presents a new method of metamorphosis of three-dimensional objects by means of an interpolation method based on mathematical morphology supported by an affine transform. The metamorphosis is a process of smooth transformation of one object into another, the result of which is stored in a sequence of 3D images. The proposed method is automatic - the only data necessary consists of: two input 3D binary objects (the initial one and the final one) and an additional parameter - either the number of frames in the final sequence or the highest value of the dissimilarity measure. The method consists in performing successive computations of morphological median objects. The proposed interpolation scheme is a new application of morphological interpolation to 3D image metamorphosis. Also, it combines 3D morphology with affine object matching. The proposed interpolation sequence algorithm is a new one and allows us to produce the interpolation sequence by considering dissimilarity measures between the consecutive frames. The method can be applied to animation in computer graphics and visualization of three-dimensional data.