Building Solids Using Quaternions

Building Solids Using Quaternions

This paper presents two ways to make solid modelling, defining the solid surface as a trajectory of a particle. The first one implements an existing method, where the trajectory of a particle is seen as a rational Bezier curve, so a dual quaternionic parametrization of mentioned trajectory is done....

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Traversoni, L., Resendiz, R.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Animation
Bezier simple harmonic motion
Computer graphics
Equations
Interpolation
Orbital robotics
Oscillators
Path planning
Quaternions
Signal processing
Solid modeling
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Beschreibung
Zusammenfassung:This paper presents two ways to make solid modelling, defining the solid surface as a trajectory of a particle. The first one implements an existing method, where the trajectory of a particle is seen as a rational Bezier curve, so a dual quaternionic parametrization of mentioned trajectory is done. In the second one an original method based on a quaternionic representation of a Simple Harmonic Motion is presented. Then the main idea is to pick a surface given by regularly distributed data and be able to reproduce it carving it in some material.
DOI:10.1109/CISP.2008.710