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

(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.