An anchored discrete convolution algorithm for measuring length in digital images

A new algorithm called an anchored discrete convolution has been developed. The method enables the determination of the length of objects in digital images from their detected contour. The algorithm is based on discrete convolution by using different convolution masks and points anchored within the pixels. The anchoring prevents the point shifting in the pixel during the calculation and contributes to smoothing capabilities of the algorithm on the measured data. In this paper a Gaussian convolution mask is used on the experimental curves to evaluate the presented algorithm as a measuring tool.