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A Grassmann manifold handbook: basic geometry and computational aspects
The Grassmann manifold of linear subspaces is important for the mathematical modelling of a multitude of applications, ranging from problems in...
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The Concept of Modeling Packing and Covering Problems Using Modern Computational Geometry Software
A class of geometric packing and covering problems is considered. A new concept of their mathematical modeling using a special class of functions is...
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A numerical-and-computational study on the impact of using quaternions in the branch-and-prune algorithm for exact discretizable distance geometry problems
Distance geometry is a branch of Mathematics which studies geometric relations having distances as primitive elements. Its fundamental problem, the...
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Recent Development of Medical Shape Analysis via Computational Quasi-conformal Geometry
Medical analysis is closely related to mathematics in many aspects. Over the past decades, mathematicians have designed numerous mathematical models...
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From Unrolled Geometry to Complex Shapes in Equilibrium
Developable Surfaces can be manufactured starting from the unrolled geometry without tearing or stretching. You can use different materials, but you...
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Computational Conformal Geometric Methods for Vision
Conformal geometry studies the geometric properties of objects invariant under conformal transformation group. It is a powerful theoretic tool to...
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Geometry to Fabrication in Architecture
This letter from the guest editors introduces Vol. 25(4) of the Nexus Network Journal: Architecture and Mathematics . In this special issue, 11...
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Geometry and applied statistics
We take a very high level overview of the relationship between Geometry and Applied Statistics 50 years from the birth of Information Geometry. From...
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Algebra, Geometry and Topology of ERK Kinetics
The MEK/ERK signalling pathway is involved in cell division, cell specialisation, survival and cell death (Shaul and Seger in Biochim Biophys Acta...
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25 Years Computational Electromagnetics @ SCEE
From the beginning, Computational Electromagnetics (CEM) was among the core themes of the conference series on Scientific Computing in Electrical...
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Properties of Hyperbolic Geometry
The previous chapter dealt almost exclusively with the problem of constructing various models of the hyperbolic plane and hyperbolic 3-space and...
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Recent Developments of Surface Parameterization Methods Using Quasi-conformal Geometry
Surface parameterization is of fundamental importance for many tasks in computer vision and imaging. In recent years, computational quasi-conformal...
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The Geometry of the Gauss Map
In this chapter we deal with the extrinsic geometry of the surface, by defining quantities (curvatures) that express how the surface is embedded in...
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Affine convex geometry – Part 2
The main objective of this chapter is to study some important (starlike or convex) bodies associated to a given convex body. These are the so-called...
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Affine convex geometry – Part 1
This chapter is dedicated to the affine geometry of convex bodies (in view of their affine positions). Roughly speaking, we want to discuss how...
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A Survey on Computational Aspects of Polynomial Amoebas
This article is a survey on the topic of polynomial amoebas. We review results of papers written on the topic with an emphasis on its computational...
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Construction of Hyperbolic Geometry
We have carefully studied the properties of linear fractional transformations on the Euclidean plane; it is now time to look elsewhere. There are...
