基于三维DCT变换的视频图像帧压缩解压缩matlab仿真,包含仿真操作录像,代码中文注释

function X=fast3DDCT(x) % 实现了快速3D离散余弦变换，基于蝶形结构。 N=size(x,1);% 数据矩阵的维度 [k2 k1 k3]=meshgrid(0:N/2-1); Sm=zeros(N/2,N/2,N/2,8);% 存储临时变量的矩阵 for n1=0:N/2-1 for n2=0:N/2-1 for n3=0:N/2-1 t1=pi/(2*N)*(4*n1+1); t2=pi/(2*N)*(4*n2+1); t3=pi/(2*N)*(4*n3+1); ci0=cos(t1*(2*k1)); ci1=cos(t1*(2*k1+1)); cj0=cos(t2*(2*k2)); cj1=cos(t2*(2*k2+1)); cl0=cos(t3*(2*k3)); cl1=cos(t3*(2*k3+1)); i=0;j=0;l=0; % 8个蝶形运算 Sm(:,:,:,1)=Sm(:,:,:,1)+xtildaijl(x,i,j,l,n1,n2,n3).*ci0.*cj0.*cl0; i=0;j=0;l=1; Sm(:,:,:,2)=Sm(:,:,:,2)+xtildaijl(x,i,j,l,n1,n2,n3).*ci0.*cj0.*cl1; i=0;j=1;l=0; Sm(:,:,:,3)=Sm(:,:,:,3)+xtildaijl(x,i,j,l,n1,n2,n3).*ci0.*cj1.*cl0; i=0;j=1;l=1; Sm(:,:,:,4)=Sm(:,:,:,4)+xtildaijl(x,i,j,l,n1,n2,n3).*ci0.*cj1.*cl1; i=1;j=0;l=0; Sm(:,:,:,5)=Sm(:,:,:,5)+xtildaijl(x,i,j,l,n1,n2,n3).*ci1.*cj0.*cl0; i=1;j=0;l=1; Sm(:,:,:,6)=Sm(:,:,:,6)+xtildaijl(x,i,j,l,n1,n2,n3).*ci1.*cj0.*cl1; i=1;j=1;l=0; Sm(:,:,:,7)=Sm(:,:,:,7)+xtildaijl(x,i,j,l,n1,n2,n3).*ci1.*cj1.*cl0; i=1;j=1;l=1; Sm(:,:,:,8)=Sm(:,:,:,8)+xtildaijl(x,i,j,l,n1,n2,n3).*ci1.*cj1.*cl1; end end end % 后处理部分 i=0;j=0;l=0; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,1);% 乘以常数系数，根据DCT公式 i=0;j=0;l=1; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,2); i=0;j=1;l=0; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,3); i=0;j=1;l=1; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,4); i=1;j=0;l=0; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,5); i=1;j=0;l=1; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,6); i=1;j=1;l=0; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,7); i=1;j=1;l=1; x1=2*k1(1,1,1)+i+1; x2=2*k1(end,1,1)+i+1; y1=2*k2(1,1,1)+j+1; y2=2*k2(1,end,1)+j+1; z1=2*k3(1,1,1)+l+1; z2=2*k3(1,1,end)+l+1; yyX(x1:2:x2,y1:2:y2,z1:2:z2)=Sm(:,:,:,8); % multiplly by constant coefficient according to dct formula [k2 k1 k3]=meshgrid(0:N-1); Q=ones(N,N,N); Q(k1==0)=Q(k1==0)/sqrt(2); Q(k2==0)=Q(k2==0)/sqrt(2); Q(k3==0)=Q(k3==0)/sqrt(2); X=yyX.*Q.*8/(N^3);