Shape Parametrization and Contour Curvature Using Method of Hurwitz-Radon Matrices
نویسندگان
چکیده
A method of Hurwitz-Radon Matrices (MHR) is proposed to be used in parametrization and interpolation of contours in the plane. Suitable parametrization leads to curvature calculations. Points with local maximum curvature are treated as feature points in object recognition and image analysis. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of HurwitzRadon (OHR), built from these matrices, is described. It is shown how to create the orthogonal OHR and how to use it in a process of contour parametrization and curvature calculation.
منابع مشابه
Application of Hurwitz – Radon Matrices in Shape Representation
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 o...
متن کاملShape Representation and Shape Coefficients via Method of Hurwitz-Radon Matrices
Computer vision needs suitable methods of shape representation and contour reconstruction. One of them called method of Hurwitz-Radon Matrices (MHR) can be used in representation and reconstruction of shapes of the objects in the plane. Another problem is connected with shape coefficients. This paper contains the way of length estimation and area estimation via MHR method. Proposed method is ba...
متن کاملApplication of the Method of Hurwitz-Radon Matrices in Data Reconstruction
Applied science and mechanics need mathematical methods for 2D processes modeling using the set of data points. A novel method of Hurwitz-Radon Matrices (MHR) is used in 2D curve modeling. Proposed method is based on the family of Hurwitz-Radon matrices which possess columns composed of orthogonal vectors. Two-dimensional process is modeled via different functions: sine, cosine, tangent, logari...
متن کاملApplication of Curve Interpolation in Data Modeling and Restoration
Applied science and mechanics need mathematical methods for 2D processes modeling using the set of data points. A novel method of Hurwitz-Radon Matrices (MHR) is used in 2D curve modeling. Proposed method is based on the family of Hurwitz-Radon matrices which possess columns composed of orthogonal vectors. Two-dimensional process is modeled via different functions: sine, cosine, tangent, logari...
متن کامل2D Data Modeling by Probability Distribution
Applied science and mechanics need mathematical methods for 2D processes modeling using the set of data points. A novel method of Hurwitz-Radon Matrices (MHR) is used in 2D curve modeling. Proposed method is based on the family of Hurwitz-Radon matrices which possess columns composed of orthogonal vectors. Two-dimensional process is modeled via different functions: sine, cosine, tangent, logari...
متن کامل