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Table 1 Distribution of the global error measure Ψ for the examined interpolation methods triangular (TrI), spline (for M={1,2,3}), spherical harmonics (SH, for N={1,2,...,8}), and ordinary omnidirectional assumptions of the directivity (Omni) across all 27 analyzed partial tones

From: Comparative evaluation of interpolation methods for the directivity of musical instruments

 

Global error measure Ψ

 

TrI

Spline order M

Spherical harmonics order N

Omni

  

1

2

3

4

5

6

7

8

 

Max

1.29

1.28

1.37

1.42

1.45

1.49

1.46

1.41

1.30

1.67

Q3

.60

.60

.60

.60

.67

.65

.64

.65

.75

1.34

Median

.50

.49

.52

.55

.58

.59

.57

.55

.56

.72

Q1

.26

.29

.18

.17

.24

.21

.28

.30

.44

.58

Min

.03

.03

.03

.02

.03

.04

.17

.19

.37

.16

  1. Q1 indicating the 25th and Q3 the 75th percentiles, respectively