In this paper we begin to explore the application of the multiscale flat norm introduced in Morgan and Vixie [13] to shape and image analysis. In particular, we look at the use of the multiscale flat… (More)

We describe and provide code and examples for a polygonal edge matching method. Our goal is to find a score to match two polygons P1 and P2 embedded in a rectangle R of the plane, of height I and… (More)

The limit of energies of a sequence of harmonic maps as their annular domains approach the boundary of moduli space depends upon the boundary point approached. The infinite energy case is associated… (More)

Regularization functionals that lower level set boundary length when used with L 1 fidelity functionals on signal de-noising on images create artifacts. These are (i) rounding of corners, (ii)… (More)

An ODE variational calculation shows that an image principle curvature ratio factor, (√ ρ1 ρ2 + √ ρ2 ρ1 ) , can raise the lower bound, 2(Image Area), on energy of a harmonic map of a surface into R.… (More)

Regularization functionals that lower level set boundary length when used with L 1 fidelity functionals on signal de-noising on images create artifacts. These are (i) rounding of corners, (ii)… (More)

BACKGROUND
Novel measures of the chorionic plate and vessels are used to test the hypothesis that variation in placental structure is correlated with reduced birth weight (BW) independent of… (More)