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National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Point Interpolation in Projective Space
 Burešová, Klára ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
The aim of this work is to describe interpolation curves in the plane and space. Part of it is the definition of the projective space in which we will work and also other concepts such as vector space, derivation, curve, etc. The second part is a description of different types of approximation of curves. The main part is a program for the reconstruction of a kinematic curve, which describes the trajectory of a moving body. Sub-methods were programmed using the Matlab development tool.
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Point Interpolation in Projective Space
 Burešová, Klára ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
The aim of this work is to describe interpolation curves in the plane and space. Part of it is the definition of the projective space in which we will work and also other concepts such as vector space, derivation, curve, etc. The second part is a description of different types of approximation of curves. The main part is a program for the reconstruction of a kinematic curve, which describes the trajectory of a moving body. Sub-methods were programmed using the Matlab development tool.
Detailed record
A particular smooth interpolation that generates splines
 Segeth, Karel
There are two grounds the spline theory stems from -- the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We use the general variational approach called $it smooth interpolation$ introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known tension spline (called also spline with tension). We present the results of a 1D numerical example that characterize some properties of the tension spline.
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