Elastic 3D shape analysis using square-root normal field representation

Laga, Hamid; Jermyn, Ian H.; Kurtek, Sebastian; Srivastava, Anuj

doi:10.1109/cdc.2017.8264053

Elastic 3D shape analysis using square-root normal field representation

Laga, Hamid; Jermyn, Ian H.; Kurtek, Sebastian; Srivastava, Anuj

Authors

Hamid Laga

Professor Ian Jermyn i.h.jermyn@durham.ac.uk
Professor

Sebastian Kurtek

Anuj Srivastava

Abstract

Shape is an important physical property of natural and man-made 3D objects that characterizes their external appearances. Understanding differences between shapes, and modeling the variability within and across shape classes, hereinafter referred to as shape analysis, are problems fundamental to many applications, ranging from computer vision and computer graphics to biology and medicine. This paper provides an overview of some of the recent techniques for studying the shape of 3D objects that undergo non-rigid deformations including bending and stretching. We will mainly focus on a new representation called the square-root normal field (SRNF), discuss its properties, and show its application in the analysis of the shape of various types of objects, including human body shapes, anatomical organs such as carpal bones, and hand-drawn 2D sketches. We will show how the representation is used for (1) jointly computing correspondences and geodesics; (2) computing summary statistics such as means and modes of variations; and (3) exploring shape variability in a collection of 3D objects.

Citation

Laga, H., Jermyn, I. H., Kurtek, S., & Srivastava, A. (2017). Elastic 3D shape analysis using square-root normal field representation. In 2017 IEEE 56th Annual Conference on Decision and Control (CDC) : Melbourne, Australia, 12-15 December 2017 ; proceedings (2711-2717). https://doi.org/10.1109/cdc.2017.8264053

Conference Name	56th IEEE Conference on Decision and Control.
Conference Location	Melbourne, Australia
Start Date	Dec 12, 2017
End Date	Dec 15, 2017
Acceptance Date	Jul 12, 2017
Online Publication Date	Jan 23, 2018
Publication Date	Dec 15, 2017
Deposit Date	Aug 9, 2017
Publicly Available Date	Sep 18, 2017
Publisher	Institute of Electrical and Electronics Engineers
Pages	2711-2717
Book Title	2017 IEEE 56th Annual Conference on Decision and Control (CDC) : Melbourne, Australia, 12-15 December 2017 ; proceedings.
ISBN	9781509028740
DOI	https://doi.org/10.1109/cdc.2017.8264053

Files

Accepted Conference Proceeding (3.3 Mb)
PDF

Copyright Statement
© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.