On Interpolation for Triangulation-represented Digital Image

Tomáš Janák
(tjanak[at]students.zcu.cz)

Department of Computer Science and Engineering
University of West Bohemia
Pilsen / Czech Republic
Following images are products of interpolation methods implemented by Tomáš Janák, 2007. All the input triangulations are Delauney triangulations, provided by Josef Kohout, PhD.


Figure 1: Triangulation used for images on figures 2 - 5.


Figure 2: Result of piecewise linear interpolation on triangulation on Figure 1.


Figure 3: Zienkiewicz interpolation on triangulation on Figure 1.


Figure 4: Interpolation on Bezier patch on triangulation on Figure 1.


Figure 5: Interpolation on Coons patch on triangulation on Figure 1.


Figure 6: Triangulation used for images on figures 7 - 10.


Figure 7: Result of piecewise linear interpolation on triangulation on Figure 6.


Figure 8: Zienkiewicz interpolation on triangulation on Figure 6.


Figure 9: Interpolation on Bezier patch on triangulation on Figure 6.


Figure 10: Interpolation on Coons patch on triangulation on Figure 6.


Figure 11: Triangulation used for images on figures 12 - 15.


Figure 12: Result of piecewise linear interpolation on triangulation on Figure 11.


Figure 13: Zienkiewicz interpolation on triangulation on Figure 11.


Figure 14: Interpolation on Bezier patch on triangulation on Figure 11.


Figure 15: Interpolation on Coons patch on triangulation on Figure 11.


Figure 16: Triangulation used for images on figures 17 - 20.


Figure 17: High resolution (4096x4096) image, interpolated by piecewise linear interpolation.

Figure 18: High resolution (4096x4096) image, interpolated by Zienkiewicz interpolation.

Figure 19: High resolution (4096x4096) image, interpolated by interpolation on Bezier patch.

Figure 20: High resolution (4096x4096) image, interpolated by interpolation on Coons patch.