  We develop a theoretical framework for the quasi-low-dimensional
confinement-induced resonances (CIRs) of particles with the arbitrary
three-dimensional two-body interactions, based on the Huang-Yang
pseudopotential and the treatment of Feshbach resonances. Using this new
approach, we analytically obtain some universal properties of dipolar CIRs in
quasi-one-dimensional (1D) waveguides. We also show that the dipolar CIRs can
be induced by tuning the angle between the dipole moments and the waveguide,
which is experimentally observable in quasi-1D Cr and Dy atomic gases. We
expect that these tilting angle induced CIRs will open up a new simpler way to
control the resonant scatterings in quasi-low-dimensional systems.
