A tomographic image generating apparatus (10) includes a tomographic image acquirer (22) for acquiring a plurality of first tomographic images (36) perpendicular to a predetermined direction from a three-dimensional medical image including an organ (40) having a predetermined linear structure, a first detector (24) for detecting sectional shapes of the organ (40) which are included respectively in the first tomographic images (36), a curve generator (26) for generating a first curve (46) as an approximate curve by interpolating respective positions of the detected sectional shapes of the organ (40), and a tomographic image generator (28) for generating a plurality of second tomographic images (38) perpendicular to the first curve (46) from the three-dimensional medical image.