A Projection-Based Method for Shape Measurement

Abstract

This work addresses two main contributions for shape measurement. First, a new circularity measure for planar shapes is introduced based on their geometrical properties in the projection space of Radon transform. Second, a general-purpose evaluation criterion, Power Of Discrimination (POD), for assessing the efficiency of a shape measure is proposed. The new measure ranges over the interval [0,1], and produces the value 1 if and only if the measured shape is a perfect circle. The proposed measure is invariant with respect to translation, rotation and scaling transformations. Moreover, it is also robust against border distortion of shapes. It is theoretically well founded and can be extended to other problems of shape measurement. Our approach can deal with complex shapes composed of connected components that cannot be handled by classical contour-based methods. Several experiments show its good behavior and demonstrate the efficiency and applicability of our proposed measure. Finally, we also consider our proposed evaluation criterion for assessing different circularity measures.

Texture, Nonogram, and Convexity Priors in Binary Tomography

“…Turning to the question of which parameter setting could ensure the highest classification accuracy, we introduce a strategy to determine the appropriate window size and quantization level to calculate LQH in the case of classification issues. We present an approach that relies on the technique published in [65], and modify it according to our needs. Let us consider p different image classes and let r denote the number of patches (sample images) of each image class.…”