CUED Publications database

Surface Fitting Using Dual Quaternion Control Points with Applications in Human Respiratory Modelling

Grafton, A and Lasenby, J (2020) Surface Fitting Using Dual Quaternion Control Points with Applications in Human Respiratory Modelling. In: UNSPECIFIED UNSPECIFIED, pp. 421-433.

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Abstract

In this paper we present a method for representing surfaces using a set of dual quaternion control points, with the goal of fitting to point clouds. Each control point is defined by a position and radius, which specify the area of the surface it affects, and a dual quaternion defining the transformation it applies. A point is mapped using the surface by a weighted sum of the control points, in a similar method to dual quaternion skinning. A surface is then represented as the transformation of an original surface, such as a unit square plane, using the control points. We demonstrate how we may fit surfaces to point clouds using a modified iterative gradient descent algorithm, adding control points to regions of the surface that are most poorly modelled at the current step. These methods are applied to the problem of representing human breathing by fitting surfaces to a subject’s chest as recorded by an RGB-D (image plus depth) camera and parameterizing the breathing using each control point’s parameters. Variations in the breathing pattern are shown before and after exercise.

Item Type: Book Section
Subjects: UNSPECIFIED
Divisions: Div F > Signal Processing and Communications
Depositing User: Cron Job
Date Deposited: 23 Oct 2020 21:36
Last Modified: 02 Sep 2021 05:24
DOI: 10.1007/978-3-030-61864-3_36