A procedure for the design of low-loss continuous curvature waveguide bends, for use in integrated photonic circuits, is presented. The design employs the scalar finite element method and a technique for drawing waveguide bends based on their curvature. The finite difference beam propagation method is used to determine the power lost along the length of the waveguide structures. This new method allows the design of waveguide bends with lower loss than can be obtained by conventional methods.