Digital Curve Length Calculation by Using B-spline

Authors:
Alojz Suhadolnik;Jože Petrišič;Franc Kosel
Affiliations:
Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia;Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia;Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia
Venue:
Journal of Mathematical Imaging and Vision
Year:
2010

Citing 6
Cited 0

Length estimators for digitized contours

Computer Vision, Graphics, and Image Processing
Image algebra: an overview

Computer Vision, Graphics, and Image Processing
Euclidean paths: a new representation of boundary of discrete regions

Graphical Models and Image Processing
Curves and surfaces for CAGD: a practical guide

Curves and surfaces for CAGD: a practical guide
Numerical calculation of digital curve length by using anchored discrete convolution

Image and Vision Computing
Cubic spline interpolation to develop contours of large reservoirs and evaluate area and volume

Advances in Engineering Software

Quantified Score

Hi-index	0.00

Visualization

Abstract

A new method for digital curve length calculation based on the approximation with a B-spline has been introduced where the control points of a B-spline curve are the pixel center points. An approximate length of the digital curve is determined by calculating the length of the continuous B-spline curve. In the paper several examples are presented and the calculated lengths are compared to other methods found in the literature. The advantage of the proposed method is in the approximation of the digital curve with the continuous curve rather than with piecewise linear sections used by most other methods.