Morphing Between Monotonic Spinner Planar Curves Through Radial-Sign Descriptors

Emna Ghorbel, Faouzi Ghorbel

Abstract: This paper introduces an innovative morphing method leveraging Radial-Sign descriptors for monotonic spinner shapes, offering a robust, efficient, and computationally refined solution to shape blending challenges. The method encodes two shapes using radial distances and angular sign variations relative to the centroids, respectively, producing complete, stable, and invertible descriptions. By applying weighted interpolation directly to these two descriptors and reconstructing in-between shapes through an inverse formula, the approach ensures smooth, morphologically coherent transitions while preserving essential geometric properties. Unlike conventional curvature or registration-based techniques, which often require intensive post-processing or face limitations with significantly different shapes, the proposed method adeptly blends both similar and dissimilar shapes, including those with differing turning number, by introducing additional turns in simpler shapes to ensure continuity

External IDs:dblp:conf/icpram/GhorbelG25