The invention provides a method for increasing efficiency of continuous
collision detection. The method comprises the steps of acquiring coordinates of vertexes of two triangles required to be subjected to
collision detection in a space, obtaining cubic equations for collision according to vector coplanarity, obtaining a Sturm sequence of a cubic function according to the definition of the Sturm sequence, substituting
boundary values of a specified interval into the sequence so as to respectively obtain two symbolic variable values of boundary value sequences, finally, determining the existence circumstances of the equations in specified interval roots by a difference value between the two symbolic variable values according to Sturm's theorem, and filtering out the cubic equations without roots, which indicate that the collision cannot occur. According to the method, the majority of detection pairs, which cannot be subjected to collision, can be effectively filtered out, the filtering ratio can reach 90% to the highest, and the efficiency of a continuous
collision detection algorithm can be remarkably increased.