Neuware -Computer vision needs suitable methods of shape representation and contour reconstruction. One of them, invented by the author and called method of Hurwitz-Radon Matrices (MHR), can be used in representation and reconstruction of shapes of the objects in the plane. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. 2D shape is represented by the set of successive nodes. It is shown how to create the orthogonal and discrete OHR operator and how to use it in a process of shape representation and reconstruction. Then MHR method is generalized to Probabilistic Nodes Combination (PNC) method. This work clarifies the significance and novelty of the proposed method compared to existing methods. Previous published papers of the author were dealing with the method of Hurwitz-Radon Matrices (MHR method). Novelty of this monograph and proposed method consists in the fact that calculations are free from the family of Hurwitz-Radon Matrices. Problem statement of this paper is: how to reconstruct (interpolate) missing points of the curve and how to apply new method in computer calculations.Books on Demand GmbH, �berseering 33, 22297 Hamburg 88 pp. Englisch.

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T�tulo: 2D Curve Modeling via the Method of Probabilistic Nodes Combination
Editor: LAP LAMBERT Academic Publishing Sep 2014
Fecha de publicaci�n: 2014
Idioma: Ingl�s
ISBN 10: 3659587303
ISBN 13: 9783659587306
Encuadernaci�n: Taschenbuch
Estado: Neu

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Sinopsis

Computer vision needs suitable methods of shape representation and contour reconstruction. One of them, invented by the author and called method of Hurwitz-Radon Matrices (MHR), can be used in representation and reconstruction of shapes of the objects in the plane. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. 2D shape is represented by the set of successive nodes. It is shown how to create the orthogonal and discrete OHR operator and how to use it in a process of shape representation and reconstruction. Then MHR method is generalized to Probabilistic Nodes Combination (PNC) method. This work clarifies the significance and novelty of the proposed method compared to existing methods. Previous published papers of the author were dealing with the method of Hurwitz-Radon Matrices (MHR method). Novelty of this monograph and proposed method consists in the fact that calculations are free from the family of Hurwitz-Radon Matrices. Problem statement of this paper is: how to reconstruct (interpolate) missing points of the curve and how to apply new method in computer calculations.

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Dariusz Jacek Jak�bczak was born in Koszalin, Poland, on December 30, 1965. He graduated in mathematics (numerical methods and programming) from the University of Gdansk, Poland in 1990. He received the Ph.D. degree in 2007 in computer science from the Polish – Japanese Institute of Information Technology, Warsaw, Poland.

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