An acellular soft tissue-derived matrix includes a collagenous tissue that has been delipidated and decellularized. Adipose tissue is among the soft tissues suitable for manufacturing an acellular soft tissue-derived matrix. Exogenous tissuegenic cells and other biologically-active factors may be added to the acellular matrix. The acellular matrix may be provided as particles, a slurry, a paste, a gel, or in some other form. The acellular matrix may be provided as a three-dimensional scaffold that has been reconstituted from particles of the three-dimensional tissue. The three-dimensional scaffold may have the shape of an anatomical feature and serve as a template for tissue repair or replacement. A method of making an acellular soft tissue-derived matrix includes steps of removing lipid from the soft tissue by solvent extraction and chemical decellularization of the soft tissue.