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Generació adaptativa de contorns de nivell.

Lluis Pérez Vidal, Pere Brunet Crosa (1987)

Qüestiió

La elaboración de mapas que incluyen contornos de nivel se hace a partir de un conjunto de puntos dados por sus coordenadas. Existen varias formulaciones analíticas para definir una función de interpolación. En este artículo se propone una variante de la formulación de Little que puede servir para mejorar localmente su funcionamiento. Con objeto de estudiar su rendimiento se describen las alternativas presentes con cuatro ejemplos.

Generation of fuzzy mathematical morphologies.

Pedro J. Burillo López, Noé Frago Paños, Ramón Fuentes González (2001)

Mathware and Soft Computing

Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a general method based upon fuzzy implication and inclusion grade operators, including as particular case, other ones existing in related literature. In the definition of fuzzy erosion and dilation we use several fuzzy implications (Annexe A, Table of fuzzy implications), the paper includes...

Generátory lineárních rovnic pro základní školu v prostředí Mathematica 10

Daniel Tyr (2016)

Učitel matematiky

The article focuses on the creation of general tools that will easily generate algebraic equations of several forms. These general tools (i.e., generators of linear equations) may be useful to mathematics teachers for preparing examinations, homework or lesson plans. The principle of generating tasks is based on operations with random integers. The article explains a procedure for creating a generator of linear equations which have integer coefficients and roots. We proceed with a given integer...

Goffin's algorithm for zonotopes

Michal Černý (2012)

Kybernetika

The Löwner-John ellipse of a full-dimensional bounded convex set is a circumscribed ellipse with the property that if we shrink it by the factor n (where n is dimension), we obtain an inscribed ellipse. Goffin’s algorithm constructs, in polynomial time, a tight approximation of the Löwner-John ellipse of a polyhedron given by facet description. In this text we adapt the algorithm for zonotopes given by generator descriptions. We show that the adapted version works in time polynomial in the size...

Gradient flow optimization for reducing blocking effects of transform coding

Feng Gao, Xiaokun Li, Xun Wang, William Wee (2004)

International Journal of Applied Mathematics and Computer Science

This paper addresses the problem of reducing blocking effects in transform coding. A novel optimization approach using the gradient flow is proposed. Using some properties of the gradient flow on a manifold, an optimized filter design method for reducing the blocking effects is presented. Based on this method, an image reconstruction algorithm is derived. The algorithm maintains the fidelity of images while reducing the blocking effects. Experimental tests demonstrate that the presented algorithm...

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