Continuous-wave　terahertz　computed　tomography　(THz-CT)　is　an　important　three-dimensional　imaging　method　for　probing　the　profile　and　inner　properties　of　a　sample＇s　structure.　We　applied　the　total　variation　(TV)　minimization　iterative　algorithm　to　squeeze　75%　data　acquisition　time　of　THz-CT　without　the　loss　of　reconstruction　fidelity.　The　imaging　system　is　built　based　on　a　278.6　GHz　avalanche　diode　source.　A　zero-order　Bessel　beam　is　generated　by　an　axicon,　for　which　the　intensity　profile　remains　essentially　propagation　invariant　within　the　non-diffracting　zone.　The　effectiveness　of　the　proposed　method　is　verified　by　using　three　optically　opaque　objects.　The　reconstruction　results　show　that　the　TV-minimization　algorithm　can　effectively　suppress　noise,　artefacts,　and　shape　distortion　created　in　sparse　angle　reconstruction.　(C)　2021　Optical　Society　of　America