Interpolation 3D

Description

Student project of Geometric Algebra, using OpenGL3 and C3ga.

The goal of the project is to make interpolation between two spheres.

Dependencies

OpenGL3
GLEW 
Eigen3
C3GA

Build

Needs dependencies to work. In the root project :

cd cmake-build-debug
cmake ..
make

How to run it

In cmake-build-debug

./interpolation

Notes

Currently, there is only a run as default.
purple sphere is the initial sphere
yellow sphere is the goal sphere
red sphere is the interpolation sphere
If you want change parameter, you could update Main.cpp at these lines :

/* Set the sphere 1 */
glm::vec<3, GLfloat> center1 = sphere.getCenter();
sphere.translator(center1.x - 0.8, center1.y - 0.7, center1.z);
sphere2.dilator(1.0);

/* Set the sphere 2 */
glm::vec<3, GLfloat> center2 = sphere2.getCenter();
sphere2.translator(center2.x + 0.5, center2.y + 0.6, center2.z + 0.5);
sphere2.dilator(1.5);

Author

• Jérémie LE BASTARD

Bibliography

• [1] H. Hadfield & J. Lasenby : Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra
  • https://link.springer.com/article/10.1007/s00006-019-1003-y
• [2] Doran, C.: Circle and sphere blending with conformal geometric algebra. (2003)
  • https://arxiv.org/pdf/cs/0310017.pdf
• [3] Jean-Sébastien Samson : Inteprolation 3D
  • http://www.enseignement.polytechnique.fr/profs/informatique/Francois.Sillion/Majeure/Projets/samson/index.html