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This study explores the deformation response of pinched, curved-crease origami, applying it to three inverse-design problems. Through formulating a unique vector representation of a crease with both pinched and unpinched segments, the research effectively approximates planar curves, maximizes deflection during pinching, and targets specific points in three-dimensional space. An innovative inverse-design algorithm, encompassing a genetic algorithm, reliably determines the optimal crease pattern and actuation scheme for these problems. While past research has relied on repeated origami cells, this investigation showcases the versatility of using a single curved crease ribbon, emphasizing its engineering design potential. The outcomes suggest broad applications in functional, flexible structures capable of fitting to complex shapes and achieving advanced 3D shape morphing from actuation while benefiting from the lightweight and robust attributes of curved-crease origami.