MATLAB Examples

# 3-D Image Smoothing through Multivariant Kernel Regression

A few examples of 3-d image smoothing through multivrant kernel regression: ksrmv.

## Noisy MATLAB Logo Smoothing

```L = 40*membrane(1,25)+randn(51); [x,y]=meshgrid(0:50); r=ksrmv([x(:) y(:)],L(:)); Lr=L; Lr(:)=r.f; subplot(121), surf(x,y,L) subplot(122), surf(x,y,Lr) ```

## Noisy MATLAB Logo with 20% Missing Data

```L = 40*membrane(1,25)+randn(51); I = ceil(rand(510,1)*2500); L(I)=NaN; [x,y]=meshgrid(0:50); r=ksrmv([x(:) y(:)],L(:)); Lr=L; Lr(:)=r.f; subplot(121), surf(x,y,L) subplot(122), surf(x,y,Lr) ```

## Noisy Peaks Smoothing

```L = 10*peaks(50)+randn(50); [x,y]=meshgrid(1:50); r=ksrmv([x(:) y(:)],L(:)); Lr=L; Lr(:)=r.f; subplot(121), surf(x,y,L) subplot(122), surf(x,y,Lr) ```

## Noisy Peaks with 20% Missing Data

```L = 10*peaks(50)+randn(50); I = ceil(rand(500,1)*2500); L(I) = NaN; [x,y]=meshgrid(1:50); r=ksrmv([x(:) y(:)],L(:)); Lr=L; Lr(:)=r.f; subplot(121), surf(x,y,L) subplot(122), surf(x,y,Lr) ```