A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Global geometry of regions and boundaries via skeletal and medial integrals

2007
*
Communications in analysis and geometry
*

For a compact region Ω in R n+1 with smooth generic boundary B, the Blum medial axis M is the locus of centers of spheres in Ω which are tangent to B at two or more points. The geometry of Ω is encoded by M , which is a Whitney-stratified set, and U , the multivalued vector field from points on M to the points of tangency. We give general formulas for integrals of functions over B or Ω in terms of integrals over M . These integral formulas involve a radial shape operator which captures the

doi:10.4310/cag.2007.v15.n2.a5
fatcat:lip2dzfjgfe6rnv4f6l3qvwjqq