TY - RPRT

T1 - Report on assessment of MSSTs for 3 D Mathing Application

AU - Somchaipeng, Kerawit

AU - Sporring, Jon

AU - Kreiborg, Sven

AU - Johansen, Peter

N1 - EU Report, IST-2001-35443, Deliverable 21 3D Lab, School of Dentistry, University of Copenhagen

PY - 2004

Y1 - 2004

N2 - We consider images as manifolds embedded in a hybrid high dimensional space of coordinates and features. Images are partitioned into segments based on the energy functional and mathemat- ical landmarks. The nesting of image segments in scale-space is used to construct image hierar- chies called Multi-Scale Singularity Trees (MSSTs). Two kinds of mathematical landmarks are proposed namely extremal points and saddle points.We study the stability of the Extrema-Based MSSTs extracted from a series of smoothly changed generated images. The observed MSST transitions can be categorized into three cat- egories: changes of positions, changes of relations, and changes of connections. The stability comparison between Extrema-Based MSSTs and Saddle-Based MSSTs is also briefly presented.We point out the equivalence between MSSTs and Multi-Scale Singularity Strings (MSSSs) and propose two sets of edit operations on MSSSs, one for Extrema-Based MSSSs and one for Saddle-Based MSSSs. Simple examples of editing MSSSs are also presented.We describe a medical image database of volumetric CT scans of the craniofacial area and manually segmented teeth. The database is aimed at evaluating the image matching algorithm based on MSSTs.

AB - We consider images as manifolds embedded in a hybrid high dimensional space of coordinates and features. Images are partitioned into segments based on the energy functional and mathemat- ical landmarks. The nesting of image segments in scale-space is used to construct image hierar- chies called Multi-Scale Singularity Trees (MSSTs). Two kinds of mathematical landmarks are proposed namely extremal points and saddle points.We study the stability of the Extrema-Based MSSTs extracted from a series of smoothly changed generated images. The observed MSST transitions can be categorized into three cat- egories: changes of positions, changes of relations, and changes of connections. The stability comparison between Extrema-Based MSSTs and Saddle-Based MSSTs is also briefly presented.We point out the equivalence between MSSTs and Multi-Scale Singularity Strings (MSSSs) and propose two sets of edit operations on MSSSs, one for Extrema-Based MSSSs and one for Saddle-Based MSSSs. Simple examples of editing MSSSs are also presented.We describe a medical image database of volumetric CT scans of the craniofacial area and manually segmented teeth. The database is aimed at evaluating the image matching algorithm based on MSSTs.

M3 - Report

BT - Report on assessment of MSSTs for 3 D Mathing Application

ER -