Curve fitting approach for tangent angle and curvature measurements
type: Item
instance of: scholarly article
title: Curve fitting approach for tangent angle and curvature measurements
zbMATH Open document ID: 0807.65004
DOI: 10.1016/0031-3203(94)90048-5
author: Du-Ming Tsai
author: Ming-Fong Chen
published in: Pattern Recognition
publication date: 1995-02-28T00:00:00Z
review text: A least squares method is employed to fit known digital points of a curve to two cubic polynomial functions, one with \(y= f(x)\) and one with \(x= g(y)\). The tangent angle and curvature are then computable. Hybrid procedures are also proposed to select the better curve from \(f\), \(g\). Extensive results are given on both analytic curves and real-world images.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 609794
zbMATH Keywords: curve fitting
zbMATH Keywords: numerical examples
zbMATH Keywords: least squares method
zbMATH Keywords: cubic polynomial functions
zbMATH Keywords: tangent angle
zbMATH Keywords: curvature
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: 0031-3203(94)90048-5
OpenAlex ID: W1978741857
cites work: Fourier Descriptors for Plane Closed Curves
cites work: On the Measurement of Curvature in a Quantized Environment
cites work: Generalizing the Hough transform to detect arbitrary shapes
description: scientific article; zbMATH DE number 609794