Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: r’s distance is used to compare, for example, 2D images, with Cij equal to the distance between pixels i and j . If x and y represent two photographs of the same scene, from slightly different viewpoints and with an offset in camera position (say), d(x, y ) will be small, but the distance between x and y measured by most common norms (e.g., x − y 1 ) will be large. (a) Show that d satisfies the following. Symmetry : d(x, y ) = d(y, x); Nonnegativity : d(x, y ) ≥ 0; Definiteness : d(x, x) = 0, and d(x, y ) > 0 for x = y . (b) Show that d(x, y ) is the optimal value of the problem maximize ν T x + µT y subject to νi + µj ≤ Cij , i, j = 1, . . . , n, with variables ν, µ ∈ Rn . 17.2 Radiation treatment planning. In radiation treatment, radiation is delivered to a patient, with the goal of killing or damaging the cells in a tumor, while carrying out minimal damage to other tissue. The radiation is delivered in beams, each of which has a known pattern; the level of each beam can be adjusted. (In most cases multiple beams ar...
View Full Document

This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.

Ask a homework question - tutors are online