Explaining Human Preferences via Metrics for Structured 3D Reconstruction

"What cannot be measured cannot be improved" while likely never uttered by Lord Kelvin, summarizes effectively the purpose of this work. This paper presents a detailed evaluation of automated metrics for evaluating structured 3D reconstructions. Pitfalls of each metric are discussed, and a thorough analyses through the lens of expert 3D modelers' preferences is presented. A set of systematic "unit tests" are proposed to empirically verify desirable properties, and context aware recommendations as to which metric to use depending on application are provided. Finally, a learned metric distilled from human expert judgments is proposed and analyzed.