|
|
Spline interpolation in CNC milling
Soukupová, Veronika ; Píška, Miroslav (referee) ; Ohnišťová, Petra (advisor)
Tato práce se zaměřuje na využití různých typů splinové interpolace pro obrábění na číslicově řízených strojích. Cílem této práce je teoreticky popsat využití splinových interpolací při CNC frézování a následně stanovit a zhodnotit limity využití různých typů splinových interpolací na základně daného objemu vstupních dat. Součástí práce je vytvoření programu pro generaci různého počtu uzlových bodů na analyticky známé křivce. Následuje vložení uzlových bodů do vytvořeného CNC programu pětiosého obráběcího centra a poté jeho verifikace. Pro stejné uzlové body jsou aplikovány různé druhy interpolace pro následné porovnání metod a stanovení minimálního počtu bodů na délku křivky pro dosažené vyhovující přesnosti při použití dané interpolační metody.
|
|
|
Interpolating and approximating spline curves
Jelínek, Daniel ; Štarha, Pavel (referee) ; Procházková, Jana (advisor)
This bachelor’s thesis deals with properties and algorithms of smooth curves calculation, specifically the calculation of B-spline curves. These curves can be applied in computer graphics. Since their calculation is defined recurrently, it is almost a necessity to use computers with programmed algorithms to obtain these curves. As for the practical part of this work, three programs for the calculation of approximating B-spline curves, interpolating B-spline curves and NURBS curves were created.
|
|
|
FFD methods
Novák, Jiří ; Martišek, Karel (referee) ; Procházková, Jana (advisor)
The diploma thesis deals with the topic of free-form deformations. The main goal of this work were elaboration of theoretical knowledge about this issue and the programming of selected methods od free-form deformations. The first part describes the required spline theory, matrix calculus and free-form deformations. The resulting version shows three programs. The first program compares the selected free-form deformation methods to the example of the 4x4 control point grid. The second program serves as a generalization for the general case of grid of control points. The last program is based on direct manipulation of arbitrary surface point and following recomputation of the control points to obtain demanded shape.
|
|
|
Movement correction in thoracic dynamic contrast CT data
Jakubíček, Roman ; Malínský, Miloš (referee) ; Walek, Petr (advisor)
This thesis deals with a nonrigid image registration for movement correction in thoracic dynamic contrast CT data. The deformation field is initialized by the analysis of disparities based on nonlinear matched filter, which defines local movement deformation. The values of control points are optimized by the Nelder-Mead method. The transformation model is based on a 4D (3D + time) free-form B-spline deformation for feature of movement distortion. The first part of the thesis briefly discusses the theory of image registration. Knowledge of this theory is necessary for understanding the remaining chapters, which describe the proposed method and its realization. The large part of this thesis is devoted to the geometrical image transformations, that is very important for the image registration. The thesis also describes a simplex method for function minimization. Three publicated methods of registration of medical 4D CT data are given. In the following chapter are individual parts of the purposed nonrigid registration including possible problems and their solution described.
|
|
|
Curves in Computer Graphics
Míchal, Luboš ; Zuzaňák, Jiří (referee) ; Venera, Jiří (advisor)
This work deal with proposal and implementation demonstrational application, that will be instrumental towards demonstration curves used in computer graphic. Application is created in language C++ in environment Visual Studio 2005. By the help of those application can be individual steps of calculation watch and set control point. After it is possible watch differences among single used algorithms. Aim work is put near individual curves potential interested person about this theme.
|
|
|
NURBS surfaces of revolution
Sekáč, Ondřej ; Martišek, Dalibor (referee) ; Procházková, Jana (advisor)
The goal of this bachelor’s thesis is to give an overview of NURBS surfaces of revolution. NURBS surfaces are rational B-spline surfaces, which allows for construction of conics, hence anuloid, sphere and other surfaces of revolution. The thesis also contains an application that can create NURBS surfaces of revolution and description of algorithms used.
|
|
|
Interpolation with NURBS curves
Škvarenina, Ľubomír ; Rajmic, Pavel (referee) ; Zátyik, Ján (advisor)
Diploma thesis deals with image interpolation. The aim of this work is to study theoretically and then describe the nature of the various methods of image interpolation and some of them implemented in the program MATLAB. The introductory part of this work theoretically closer to important terms that are closely related to this topic of digital image processing sufficient to understand the principle. In the following of the thesis will be discussed all of today's commonly used method of image interpolation. Will hear all about the method of image interpolation using nearest neightbor interpolation and image help of polynimals such as (bi)linear, (bi)quadratic and (bi)kubic method. Then work theoretically analyzes the theory of individual species curves and splines. More specifically, coming to their most frequently used variants of B-spline curves and ther generalizations called NURBS, with addressing the problem of interpolating these curves. The final chapter consists of the results achieved in the program MATLAB.
|
|
|
Teaching aids for 2D computer graphics
Malina, Jakub ; Průša, Zdeněk (referee) ; Rajmic, Pavel (advisor)
In this master’s thesis we focus on the basic properties of computer curves and their practical applicability. We explain how the curve can be understood in general, what are polynomial curves and their composing possibilities. Then we focus on the description of Bezier curves, especially the Bezier cubic. We discuss in more detail some of fundamental algorithms that are used for modelling these curves on computers and then we will show their practical interpretation. Then we explain non uniform rational B-spline curves and De Boor algorithm. In the end we discuss topic rasterization of segment, thick line, circle and ellipse. The aim of master’s thesis is the creation of the set of interactive applets, simulating some of the methods and algorithm we discussed in theoretical part. This applets will help facilitate understanding and will make the teaching more effective.
|
|
|
Dynamic model for estimation of radon concentration in buildings
Vaňková, Barbora ; Brabec, Marek (advisor) ; Komárek, Arnošt (referee)
Title: Dynamic model for estimation of radon concentration in buildings Author: Barbora Vaňková Department: Department of probability and mathematical statistics Supervisor: Ing. Marek Brabec, Ph.D. Supervisor's e-mail address: mbrabec@cs.cas.cz Abstract: In the present work there is described the method for estimation of functi- onal data from discrete values and basic methods of functional data analysis. 1
|
|
|
Interpolating and approximating spline curves
Jelínek, Daniel ; Štarha, Pavel (referee) ; Procházková, Jana (advisor)
This bachelor’s thesis deals with properties and algorithms of smooth curves calculation, specifically the calculation of B-spline curves. These curves can be applied in computer graphics. Since their calculation is defined recurrently, it is almost a necessity to use computers with programmed algorithms to obtain these curves. As for the practical part of this work, three programs for the calculation of approximating B-spline curves, interpolating B-spline curves and NURBS curves were created.
|
guest ::
