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A new method for measuring \ngr cross sections aiming at enhancedsignal-to-background ratio is presented. This new approach is based on thecombination of the pulse-height weighting technique with a total energydetection system that features $\gamma$-ray imaging capability (i-TED). Thelatter allows one to exploit Compton imaging techniques to discriminate betweentrue capture $\gamma$-rays arising from the sample under study and background$\gamma$-rays coming from contaminant neutron (prompt or delayed) captures inthe surrounding environment. A general proof-of-concept detection system forthis application is presented in this article together with a description ofthe imaging method and a conceptual demonstration based on Monte Carlosimulations.

i-TED: A novel concept for high-sensitivity (n,$\gamma$) cross section measurements