Kinematics of the bowed string

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Table of contents

Introduction 
1 Mechanics of the bowed string and simulation methods 
1.1 Kinematics of the bowed string
1.2 Physical modelling of the bowed string
1.3 Techniques for simulating the bowed string motion
1.4 Conclusions
2 Modal formalism and numerical implementation for sound synthesis
2.1 Introduction
2.2 General principle
2.3 Numerical resolution and sound simulation
2.4 Influence of computation parameters
2.5 Concluding discussion
3 Observations on the playability and sound properties of the model 
3.1 Preliminary considerations
3.2 Onset of the vibration: The attack
3.3 Maintaining Helmholtz motion: Schelleng diagrams
3.4 Influence of gesture parameters on the sustained part of the vibration
3.5 Conclusions and applications
4 Measuring bowing parameters in violin performance 
4.1 Introduction: On physical modelling and the control
4.2 Introduction to Paper I: The bow force sensor – from the laboratory to the stage
4.3 Introduction to Paper II
Paper I: Measuring bow force in bowed string performance: Theory and implementation of a bow force sensor
Paper II: Extraction of bowing parameters from violin performance combining motion capture and sensors
5 Description, modelling and parametrization of some typical bowing patterns 
5.1 Introduction
5.2 Bouncing bow strokes
5.3 Fast martelé
5.4 Tremolo and fast détaché
5.5 Conclusion
6 Observations on sustained bowing patterns 
6.1 Playing détaché
6.2 Bow direction changes
6.3 Conclusions
Conclusions 
Bibliography