www.pudn.com > level_set_methods_1.1.zip > evolve_normal_WENO.m, change:2005-05-05,size:1465b


function [delta, H1_abs, H2_abs] = evolve_normal_WENO(phi, dx, dy, Vn) 
% 
% Finds the amount of evolution under a force in 
% normal direction and using 5th order accurate WENO scheme. 
% 
% Author: Baris Sumengen  sumengen@ece.ucsb.edu 
% http://vision.ece.ucsb.edu/~sumengen/ 
% 
 
 
delta = zeros(size(phi)+6); 
data_ext = zeros(size(phi)+6); 
data_ext(4:end-3,4:end-3) = phi; 
 
% Calculate the derivatives (both + and -) 
phi_x_minus = zeros(size(phi)+6); 
phi_x_plus = zeros(size(phi)+6); 
phi_y_minus = zeros(size(phi)+6); 
phi_y_plus = zeros(size(phi)+6); 
phi_x = zeros(size(phi)+6); 
phi_y = zeros(size(phi)+6); 
% first scan the rows 
for i=1:size(phi,1) 
	phi_x_minus(i+3,:) = der_WENO_minus(data_ext(i+3,:), dx);	 
	phi_x_plus(i+3,:) = der_WENO_plus(data_ext(i+3,:), dx);	 
	phi_x(i+3,:) = select_der_normal(Vn(i+3,:), phi_x_minus(i+3,:), phi_x_plus(i+3,:)); 
end 
 
% then scan the columns 
for j=1:size(phi,2) 
	phi_y_minus(:,j+3) = der_WENO_minus(data_ext(:,j+3), dy);	 
	phi_y_plus(:,j+3) = der_WENO_plus(data_ext(:,j+3), dy);	 
	phi_y(:,j+3) = select_der_normal(Vn(:,j+3), phi_y_minus(:,j+3), phi_y_plus(:,j+3)); 
end 
 
abs_grad_phi = sqrt(phi_x.^2 + phi_y.^2); 
 
H1_abs = abs(Vn.*phi_x.^2 ./ (abs_grad_phi+dx*dx*(abs_grad_phi == 0))); 
H2_abs = abs(Vn.*phi_y.^2 ./ (abs_grad_phi+dx*dx*(abs_grad_phi == 0))); 
H1_abs = H1_abs(4:end-3,4:end-3); 
H2_abs = H2_abs(4:end-3,4:end-3); 
 
delta = Vn.*abs_grad_phi; 
delta = delta(4:end-3,4:end-3);