Lectures:
Affine and projective transformations and their matrix representation. Matrices for elementary transformations. Determining transformation matrices for various methods of projection.
Clipping the parts of objects lying otside the viewing cone. Computing illumination. Phong reflection model. Rasterisation. Gouraud and Phong shading. Hidden surface removal. Z-buffer. Texture mapping.
Graphical standard OpenGL:
Conception of the standard. Drawing graphical objects, setting atributes. Display list. Modelling and viewing transformation. Adding transformations.
Illumination. Definning material properties. Texturing. Drawing curves and surfaces. Object picking.
Ray tracing. Reducing time complexity of the method. Special effects in ray tracing.
Radiosity method. Determining form factors.
Theoretical foundations of solid modelling:
Topological spaces, topological mappings. n-manifold in Em. Orientability. Euler formula and its application. Regularised boolean operations.
Boundary model of solid and its implementation. Euler operators. Rendering objects represented by a boundary model. Realisation of boolean operations.
CSG model and its implementation. Rendering objects represented by a CSG model.
Another methods of modelling solids: Space enumeration, octant trees, BSP trees. Deformable models.
Uniform and non-uniform, rational and non-rational B-spline curves and surfaces.
Projects:
Implementation of the program that solves a problem chosen from the following areas: rendering pipeline, ray tracing, radiosity method, modelling solids, curves and surfaces. The theme is determined by the teacher. Possible proposals of the students should be consulted beforehand.
Computer labs:
Programming in OpenGL.
Examples of the systems for photorealistic rendering.
Boundary representaion of solids.
NURBS curves and surfaces.
Consulting the project.
Affine and projective transformations and their matrix representation. Matrices for elementary transformations. Determining transformation matrices for various methods of projection.
Clipping the parts of objects lying otside the viewing cone. Computing illumination. Phong reflection model. Rasterisation. Gouraud and Phong shading. Hidden surface removal. Z-buffer. Texture mapping.
Graphical standard OpenGL:
Conception of the standard. Drawing graphical objects, setting atributes. Display list. Modelling and viewing transformation. Adding transformations.
Illumination. Definning material properties. Texturing. Drawing curves and surfaces. Object picking.
Ray tracing. Reducing time complexity of the method. Special effects in ray tracing.
Radiosity method. Determining form factors.
Theoretical foundations of solid modelling:
Topological spaces, topological mappings. n-manifold in Em. Orientability. Euler formula and its application. Regularised boolean operations.
Boundary model of solid and its implementation. Euler operators. Rendering objects represented by a boundary model. Realisation of boolean operations.
CSG model and its implementation. Rendering objects represented by a CSG model.
Another methods of modelling solids: Space enumeration, octant trees, BSP trees. Deformable models.
Uniform and non-uniform, rational and non-rational B-spline curves and surfaces.
Projects:
Implementation of the program that solves a problem chosen from the following areas: rendering pipeline, ray tracing, radiosity method, modelling solids, curves and surfaces. The theme is determined by the teacher. Possible proposals of the students should be consulted beforehand.
Computer labs:
Programming in OpenGL.
Examples of the systems for photorealistic rendering.
Boundary representaion of solids.
NURBS curves and surfaces.
Consulting the project.