3 papers
math.GM2026
4-D Visualization of Minkowski Quaternionic Point Set Operations
Jakub Åada, 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…
cs.CG2024
Geometric Illumination of Implicit Surfaces
Michal Zamboj, Jakub Åada
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…
math.GM2024
3-D Shadows of 4-D Algebraic Hypersurfaces in a 4-D Perspective
Jakub Åada, 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…