4 citations · 7 across the 5 of their papers we have counts for
5 papers
4-D Visualization of Minkowski Quaternionic Point Set Operations
Jakub Řada, Daniela Velichová, Michal Zamboj
The contribution emphasizes the geometric modeling point of view on Minkowski point set operations. In this paper, the Minkowski product is specified as the quaternionic product. S…
Geometric Illumination of Implicit Surfaces
Michal Zamboj, Jakub Řada
Illumination of scenes is usually generated in computer graphics using polygonal meshes. In this paper, we present a geometric method using projections. Starting from an implicit p…
3-D Shadows of 4-D Algebraic Hypersurfaces in a 4-D Perspective
Jakub Řada, Michal Zamboj
The paper is focused on the four-dimensional visualization of hypersurfaces represented by implicit equations without their parametrization. We describe a general method to find sh…
Interactive 4-D Visualization of Stereographic Images From the Double Orthogonal Projection
Michal Zamboj
The double orthogonal projection of the 4-space onto two mutually perpendicular 3-spaces is a method of visualization of four-dimensional objects in a three-dimensional space. We p…
Synthetic construction of the Hopf fibration in a double orthogonal projection of 4-space
Michal Zamboj
The Hopf fibration mapping circles on a 3-sphere to points on a 2-sphere is well known to topologists. While the 2-sphere is embedded in 3-space, four-dimensional Euclidean space i…