▁methods ▁provide ▁the ▁same ▁set ▁of ▁spl ines , ▁and ▁data ▁can ▁be ▁easily ▁converted ▁between ▁the ▁Bé z ier ▁and ▁Herm ite ▁forms ; ▁so ▁the ▁names ▁are ▁often ▁used ▁as ▁if ▁they ▁were ▁syn onymous . ▁▁▁ ▁Cub ic ▁polynomial ▁spl ines ▁are ▁extens ively ▁used ▁in ▁computer ▁graphics ▁and ▁geometric ▁model ing ▁to ▁obtain ▁curves ▁or ▁motion ▁traject ories ▁that ▁pass ▁through ▁specified ▁points ▁of ▁the ▁plane ▁or ▁three - dimensional ▁space . ▁ ▁In ▁these ▁applications , ▁each ▁coordinate ▁of ▁the ▁plane ▁or ▁space ▁is ▁separately ▁interpol ated ▁by ▁a ▁cub ic ▁spl ine ▁function ▁of ▁a ▁separate ▁parameter   t . ▁ ▁Cub ic ▁polynomial ▁spl ines ▁are ▁also ▁used ▁extens ively ▁in ▁struct ural ▁analysis ▁applications , ▁such ▁as ▁E uler – B ern oul li ▁beam ▁theory . ▁ ▁Cub ic ▁spl ines ▁can ▁be ▁extended ▁to ▁functions ▁of ▁two ▁or ▁more ▁parameters , ▁in ▁several ▁ways . ▁ ▁B ic ub ic ▁spl ines ▁( B ic ub ic ▁interpolation ) ▁are ▁often ▁used ▁to ▁interpol ate ▁data ▁on ▁a ▁regular ▁rect angular ▁grid , ▁such ▁as ▁pixel ▁values ▁in ▁a ▁digital ▁image ▁or ▁alt itude ▁data ▁on ▁a ▁terrain . ▁ ▁B ic ub ic ▁surface ▁patch es , ▁defined ▁by ▁three ▁b ic ub ic ▁spl ines , ▁are ▁an ▁essential ▁tool ▁in ▁computer ▁graphics . ▁ ▁Cub ic ▁spl ines ▁are ▁often ▁called ▁cs pl ines , ▁especially ▁in ▁computer ▁graphics . ▁Herm ite ▁spl ines ▁are ▁named ▁after ▁Charles ▁Herm ite