Publications (5)
Complementarity-Preserving Fracture Morphology for Archaeological Fragments
Hanan ElNaghy, Leo Dorst
We propose to employ scale spaces of mathematical morphology to hierarchically simplify fracture surfaces of complementarity fitting archaeological fragments. This representation p…
Clean up your Mesh! Part 1: Plane and simplex
Steven De Keninck, Martin Roelfs, Leo Dorst +1
We revisit the geometric foundations of mesh representation through the lens of Plane-based Geometric Algebra (PGA), questioning its efficiency and expressiveness for discrete geom…
HaarNet: Large-scale Linear-Morphological Hybrid Network for RGB-D Semantic Segmentation
Rick Groenendijk, Leo Dorst, Theo Gevers
Signals from different modalities each have their own combination algebra which affects their sampling processing. RGB is mostly linear; depth is a geometric signal following the o…
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
Ales Navrat, Jaroslav Hrdina, Petr Vasik +1
We show that if PGA is understood as a subalgebra of CGA in mathematically correct sense, then the flat objects share the same representation in PGA and CGA. Particularly, we treat…
MorphPool: Efficient Non-linear Pooling & Unpooling in CNNs
Rick Groenendijk, Leo Dorst, Theo Gevers
Pooling is essentially an operation from the field of Mathematical Morphology, with max pooling as a limited special case. The more general setting of MorphPooling greatly extends…