A heating blanket includes an interlaced heating layer having a fabric thread and a heat-generating thread interlaced with the fabric thread to form the interlaced heating layer. The heat-generating thread includes a conductor wire configured to generate a magnetic field in response to an electrical current applied to the conductor wire, and a susceptor wire formed of a susceptor material configured to inductively generate heat in response to the magnetic field of the conductor wire when a temperature of the susceptor wire is below a Curie point of the susceptor wire. Methods of forming the heating blanket and methods of heating a contoured surface using the heating blanket are also disclosed.