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We present a near-IR, mainly H band, photometry of 72 nearby disk galaxies.The main goal of the survey was to search for isophotal twist inside theirnuclear regions. As the twist can be due in some cases to projection effects,rather than resulting from a dynamical phenomenon, we deproject - under thesimplifying assumption of a 2D geometry - all galaxies whose disk positionangle and inclination are known, the latter not exceeding 75 degrees. We showthe ellipticity, position angle and surface brightness radial profiles, anddiscuss how a projection of 2D and 3D bars can distort the isophotes, give anillusion of a non-existing double bar or mask a real one. We report 15 newdouble-barred galaxies and confirm 2 detected previously. We identify 14additional twists not known before and we also find nuclear triaxial structuresin three SA galaxies. The frequency of Seyferts among galaxies with nuclearbars or twists is high. As a secondary product, we publish structuralparameters (length and axis ratio) of large-scale bars in order to extend stillscarce data on bars in the near-IR.Comment: 11 pages of text (Astron. & Astroph. LaTeX l-aa macro) with 3  postscript figures, 7 additional pages of non-main-body postscript figures  containing contour and ellipse fitting plots of 72 galaxies; accepted by  Astronomy & Astrophysics Suppl. Se

Near-IR photometry of disk galaxies: Search for nuclear isophotal twist and double bars