ï~~Proceedings of the International Computer Music Conference (ICMC 2009), Montreal, Canada August 16-21, 2009 CALIBRATION METHOD TO MEASURE ACCURATE BOW FORCE FOR REAL VIOLIN PERFORMANCES Enric Guaus, Jordi Bonada, Esteban Maestre, Alfonso Perez, Merlijn Blaauw Music Technology Group, Universitat Pompeu Fabra enric guaus@upf edu ABSTRACT In this paper, we present a procedure to predict bow pressing force in a violin from data acquired in real recordings. We focus on the calibration procedure that must be robust to the bow tension changes in long recordings and fast enough to not disturb the recording session. Because of this last limitation, the calibration method here proposed does not exhaustively cover all the possible bow conditions that potentially may appear in the recording. We propose the use of Support Vector Regression to predict all these missing scenarios and compute the predicted force. On the other hand, bow tension variations in long recordings produce decalibrations on the acquisition system. After analyzing their behavior, we propose a solution to compensate this effect based on post processing and a specific behavior of the performer at the beginning and the end of each phrase. 1. INTRODUCTION Acquisition of bowing parameters in a violin is not a new topic of research. Askenfelt[1, 2] presented a method for measuring bow motion and bow force using diverse custom electronic devices attached to the violin and the bow. Paradiso[5] proposed to measure the bow force by using a force-sensitive resistor below the forefinger. More recently, Young[9, 10] measured downward and lateral bow pressure with foil strain gages using the Hyperbow controller. Rasamimanana[6] used force sensitive resistors (FSRs) to obtain the strain of the bow hair as a measure of bow pressure. Finally, Demoucron[4] and Schoonderwaldt[7] presented, in their PhD theses, an exhaustive and complete study on gesture acquisition and bow parameterization, respectively. Let us remark that the bow sensors we implemented are based on their studies and recommendations. Most of the state of the art acquisition systems here presented have not been tested in a long real performance environment focused on the audio quality instead of the obtention of the bow motion parameters. Mechanical properties of the bow may vary on time: temperature and humidity are, among others, the most important extern parameters that affect the ribbon hair tension and, as a consequence, the bow force applied to the strings. This paper describes the full process to obtain real force values (in Newtons) for long recordings in a studio. The process is clearly divided in three parts. First, we describe the sensors and the corresponding signal conditioning. Second, we describe the calibration process and, finally, we show the post processing operations to compensate the bow tension deviations 2. SENSING SYSTEM Bow force acquisition is a very specific part in our violin synthesizer design process. There exists many restrictions imposed by the other blocks that can be summarized as follows: a) Non intrusive to the player (dimensions and weight); b) Synchronized with other sensors; c) Focused on audio quality instead of motion capture; d) Time restrictions; e) Allow changes in bow tension by the performer; f) Robust to intrinsic bow tension variations; g) Capture all of the possible scenarios presented in the score using a short calibration procedure. 2.1. Motion Acquisition Violin body and bow motions are recorded using the Polhemus Liberty system. It is a six degrees of freedom electromagnetic tracker that provides information on localization and orientation of a sensor with respect to a source. We use two sensors, one attached to the bow and the other one attached to the violin, in order to obtain a complete representation of their relative movement. 2.2. Strain Gages Our sensing system for bow force prediction is based on the work of Demoucron[4]. We mounted a dual strain gage system attached to a steel foil (0.9x5cm), at the frog of the bow. In order to capture the deformation of the ribbon hairs, the steel foil is forced to an initial bending with no force applied, and this bending tends to zero as the 251
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