
Human Hand Geometric Parameters Measurement Using Numerical Methods of Image Processing
Vanžurová, Anna ; Procházková, Jana (referee) ; Štarha, Pavel (advisor)
This thesis deals with a matematic model used for estimation of the surface of a human hand. By using the theory for digital image processing, analytic geometry and numerical methods a model for proccesing a photografy of a hand was created. This model further calculates the surface in the software Matlab. The model uses tools such as median filter, adaptive tresholding or conditional erosion. Interesting is the usage of the curvature of a curve, which can be used to find the peaks and bases on the border of the hand. Dependencies between the calculated results and the measured real surfaces can be found. Therefore a regression function could be found, which gives us a point estimation of the human hand surface.

 
 

Mathematical Methods of Image Segmentation for Remote Sensing Applications
Novotný, Jan ; Klimánek, Martin (referee) ; Štarha, Pavel (referee) ; Martišek, Dalibor (advisor)
Segmentation of an image into individual tree crowns is a key step in the processing of remotely sensed data for forestry practice. The doctoral thesis gives a broad overview of this topic. It comprehends theoretical context from mathematical point of view and defines basic terms from airborne imaging and laser scanning. Mathematical methods of tree detection are focused on a robust adaptation to the actual conditions in a region of interest. A novel approach of crown area delineation is introduced, it combines a seeded region growing technique with an active contour as a crown boundary representation. The parametrisation of all algorithms is analysed in a practical half of the thesis and more applicationoriented issues are mentioned. Executable computer programs are attached.

 

Point cloud clustering
Mrkvička, Daniel ; Štarha, Pavel (referee) ; Procházková, Jana (advisor)
This bachelor's thesis deals with the point cloud clustering. It focuses on surface detection in threedimensional space. It describes in particular the methods that are used for plane detection. It also describes the concrete implementation of one of these method, the RANSAC, and examines its practical application for roof detection.


Road detection for mobile robot using image processing
Coufal, Jan ; Štarha, Pavel (referee) ; Krejsa, Jiří (advisor)
Diploma thesis deals with image processing for outdoor environment mobile robot. In first part, the problem is analyzed, general solution is proposed and suitable image processing methods are presented. In second part presented methods are tested and methods with best results are proposed. In third part is particular solution tested on real data.


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 Bspline 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 Bspline curves, interpolating Bspline curves and NURBS curves were created.


Extremes of Single and MultiVariable Functions
Floderová, Hana ; Hoderová, Jana (referee) ; Štarha, Pavel (advisor)
Extremes of single and multivariable functions are problems in which we try to solve maximum or minimum of function. Maximum and minimum of function can be local, global and by the functions of multivariable bounded. For calculation help us derivative of function, which we put equal to zero and we get out a stationary point. The stationary point is a point, in which we suppose existence of maximum or minimum of function.


Mathematical algorithm of telescope control by using dobsonian mount
Malec, Jan ; Martišek, Dalibor (referee) ; Štarha, Pavel (advisor)
This thesis is an analysis of the relationship between the position of the azimuthal telescope assembly and the position of the object in the sky, assuming that the position of the object in the sky is described right ascension and declination. There is also an analysis of the telescope resolution. For this purpose has created a simple program (attached to this thesis) to compute the diffraction patterns in the focal plane from point star. From motion of telescope tracing observed object are also expressed the necessary torque and power generated by controlled drives on mount.
