# GRAYTONE IMAGE METAMORPHOSIS USING 3D INTERPOLATION FUNCTION

### Marcin Iwanowski

#### Abstract

Image metamorphosis process produces deformation sequence which transforms one input image into another one. The method described in the paper applies morphological approach to achieve this goal. It is based on morphological interpolation which makes use of the interpolation functions produced from geodesic distance functions. The described method allows applying this approach to graytone images via its 3D umbra. It produces 3D interpolation function. Its thresholding at given level followed by inverse umbra transform allows obtaining frame of the interpolated sequence.

#### References

- Beucher, S. (1998). Interpolation of sets, of partitions and of functions. In Mathematical morphology and its application to image and signal processing. Kluwer.
- Iwanowski, M. (2000). Application of mathematical morphology to interpolation of digital images. Warsaw University of Technology, School of Mines of Paris.
- Iwanowski, M. and Serra, J. (1999). Morphological interpolation and color images. In Proc.of: 10-th International Conference on Image Analysis and Processing ICIAP99. IEEE.
- Iwanowski, M. and Serra, J. (2000). Morphological-affine object deformation. In Mathematical morphology and its application to image and signal processing. Kluwer.
- Meyer, F. (1996). Morphological interpolation method for mosaic images. In Mathematical morphology and its application to image and signal processing. Kluwer.
- Serra, J. (1996). Hausdorff distance and interpolations. In Mathematical morphology and its application to image and signal processing. Kluwer.
- Soille, P. (1991). Spatial distributions from contour lines: an efficient methodology based on distance transformations. J. of Visual Communication and Image Representation, 2.
- Vincent, L. (1991). Exact euclidean distance function by chain propagations. In Proc. IEEE Computer Vision and Pattern Recognition. IEEE.

#### Paper Citation

#### in Harvard Style

Iwanowski M. (2009). **GRAYTONE IMAGE METAMORPHOSIS USING 3D INTERPOLATION FUNCTION** . In *Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2009)* ISBN 978-989-8111-69-2, pages 5-9. DOI: 10.5220/0001754400050009

#### in Bibtex Style

@conference{visapp09,

author={Marcin Iwanowski},

title={GRAYTONE IMAGE METAMORPHOSIS USING 3D INTERPOLATION FUNCTION},

booktitle={Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2009)},

year={2009},

pages={5-9},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001754400050009},

isbn={978-989-8111-69-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2009)

TI - GRAYTONE IMAGE METAMORPHOSIS USING 3D INTERPOLATION FUNCTION

SN - 978-989-8111-69-2

AU - Iwanowski M.

PY - 2009

SP - 5

EP - 9

DO - 10.5220/0001754400050009