The Chief Examination is the first Stage of examination of the Witness and upon every Witnesses were examined in Chief, the Court gives an opportunity to the Accused for crossing them.  Without Chief, Cross cannot be done and without Chief and Cross, Re-examination can never happen.  

Chief Examination: The Court record statements of the Witnesses [in Box] produced before it by posing relevant questions on the crime. These Witnesses are called Prosecution Witnesses.

Cross Examination: The Accused [or his Counsel] examines the Witnesses to disprove the charges / accusations against him is called Cross Examination.

Re-Examination: When the Accused and / or the Prosecution both recalls those Witnesses [who already deposed in the Court and recorded their statements either in Chief or Cross and / or both in the Box] for further examination is called Re-examination.