/usr/include/libnoise/ is in libnoise-dev 1.0.0+nmu1.
This file is owned by root:root, with mode 0o755.
..
/usr/include/libnoise/basictypes.h
/usr/include/libnoise/exception.h
/usr/include/libnoise/interp.h
/usr/include/libnoise/latlon.h
/usr/include/libnoise/mathconsts.h
/usr/include/libnoise/misc.h
/usr/include/libnoise/model/
/usr/include/libnoise/model/cylinder.h
/usr/include/libnoise/model/line.h
/usr/include/libnoise/model/model.h
/usr/include/libnoise/model/plane.h
/usr/include/libnoise/model/sphere.h
/usr/include/libnoise/module/
/usr/include/libnoise/module/abs.h
/usr/include/libnoise/module/add.h
/usr/include/libnoise/module/billow.h
/usr/include/libnoise/module/blend.h
/usr/include/libnoise/module/cache.h
/usr/include/libnoise/module/checkerboard.h
/usr/include/libnoise/module/clamp.h
/usr/include/libnoise/module/const.h
/usr/include/libnoise/module/curve.h
/usr/include/libnoise/module/cylinders.h
/usr/include/libnoise/module/displace.h
/usr/include/libnoise/module/exponent.h
/usr/include/libnoise/module/invert.h
/usr/include/libnoise/module/max.h
/usr/include/libnoise/module/min.h
/usr/include/libnoise/module/module.h
/usr/include/libnoise/module/modulebase.h
/usr/include/libnoise/module/multiply.h
/usr/include/libnoise/module/perlin.h
/usr/include/libnoise/module/power.h
/usr/include/libnoise/module/ridgedmulti.h
/usr/include/libnoise/module/rotatepoint.h
/usr/include/libnoise/module/scalebias.h
/usr/include/libnoise/module/scalepoint.h
/usr/include/libnoise/module/select.h
/usr/include/libnoise/module/spheres.h
/usr/include/libnoise/module/terrace.h
/usr/include/libnoise/module/translatepoint.h
/usr/include/libnoise/module/turbulence.h
/usr/include/libnoise/module/voronoi.h
/usr/include/libnoise/noise.h
/usr/include/libnoise/noisegen.h
/usr/include/libnoise/vectortable.h