The affine space of all tensor product B\'ezier patches of degree nxn with prescribed main diagonal curves is determined. First, the pair of B\'ezier curves which can be diagonals of a B\'ezier patch is characterized. Besides prescribing the diagonal curves, other related problems are considered, those where boundary curves or tangent planes along boundary curves are also prescribed.

翻译：所有具有指定主对角曲线的n×n次张量积贝塞尔片段的仿射空间被确定。首先，刻画了能够成为贝塞尔片段对角线的贝塞尔曲线对。除了给定对角线曲线外，还考虑了其他相关问题，即边界曲线或沿边界曲线的切平面也被给定的情形。