biasspace

Generates a vector of non-linearly spaced vector with custom bias in the spacing between points

biasspace Non-linearly spaced vector with custom spacing bias

biasspace(X1,X2,N,BIAS) generates a vector of N points spaced between X1

and X2 with a given point density BIAS. BIAS may be a string designating

a standard bias, or a griddedInterpolant object which provides a

customized point density between X1 and X2.

String BIAS options include:

'linear' - default linspace behavior

'log10','cos','exp10' - See nonLinspace FEX submission by Connor Ott

Customised BIAS is given using a gridded interpolant specifying the

density of points you desired at each location (see example below).

biasspace(...,BIASTYPE) allows BIASTYPE to be specified as "density"

(default) or "spacing". For "spacing", the BIAS interpolant specifies the

desired spacing at locations (i.e., the inverse of density).

Example usage:

figure, hold on

n = 100;

p(1) = plot(biasspace(0,1,n,"linear"),'.-','Tag',"linear");

p(2) = plot(biasspace(0,1,n,"log10"),'.','Tag',"log10");

% A custom bias with 50x more points at either end

vShapedBias = griddedInterpolant([0 0.5 1]',[50 1 50]');

p(3) = plot(biasspace(0,1,n,vShapedBias),'.','Tag',"Custom V-shape");

% Custom bias: 50x more points at 0, then linear between 0.8 and 1.0

biasGi = griddedInterpolant([0 0.8 1]',[50 1 1]');

p(4) = plot(biasspace(0,1,n,biasGi),'.','Tag',"Custom L-shape");

legend(["'linear'" "'log10'" "custom1" "custom2"],"Location","best")