The Quadratic-Chi Histogram Distance Family - Appendices

This document contains the appendices for the paper “The Quadratic-Chi Histogram Distance Family” [1], proofs and additional results. In section 2 we prove that all Quadratic-Chi histogram distances are continuous. In section 3 we prove that EMD, ÊMD and all Quadratic-Chi histogram distances are Similarity-Matrix-QuantizationInvariant. In section 4 we present additional shape classification results. In section 5 we compare experimentally color image distances with and without spatial pruning. In section 6 we compare experimentally distances which resembles QC distances, but are either not Similarity-Matrix-Quantization-Invariant or not Sparseness-Invariant. In section 7 we compare the results for all the pairs of descriptors (SIFT/CSIFT) and distance measures used in the image retrieval experiments.