cvLabMATLAB/CvtKmeansKCMSM.m at main · ComputerVisionLaboratory/cvLabMATLAB · GitHub

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classdef CvtKmeansKCMSM
    properties (SetAccess = public)
        nDim;
        nNum1;
        nClass;
        nSubDim1;
        nOrthDim;
        nSigma;

        nAlpha;
        nBeta;

        X1;
        A1;
        E1;
        C1;

        D;
        O;
        W;
		Lc;
    end% properties

    methods
        function OB = CvtKmeansKCMSM(X1, Lc, nSubDim1,nSigma, varargin)


            OB.nSubDim1 = nSubDim1;
            OB.nSigma = nSigma;
            OB.X1 = X1;


            [OB.nDim , OB.nNum1, OB.nClass] = size(X1);
            OB.nOrthDim = OB.nClass*OB.nSubDim1;
            OB.A1 = zeros(OB.nNum1,OB.nSubDim1,OB.nClass);
            OB.E1 = zeros(OB.nSubDim1,OB.nClass);
            OB.C1 = zeros(1,OB.nClass);
			OB.Lc = Lc;

            for I=1:OB.nClass
				[OB.A1(:,:,I),OB.E1(:,I), OB.C1(I)] = cvtKmeansKPCA(OB.X1(:,:,I),OB.Lc(I,:),OB.nSubDim1,OB.nSigma);
			end


            OB.D = zeros(OB.nSubDim1, OB.nSubDim1, OB.nClass,OB.nClass);
            for I1 = 1:OB.nClass
                for I2 = I1:OB.nClass
                    K = cvtKernelGramMatrix(X1(:, :, I1), X1(:, :, I2), nSigma);
					K = diag(sqrt(OB.Lc(I1,:)))*K*diag(sqrt(OB.Lc(I2,:)));
                    if I1 == I2
                        OB.D(:,:,I1,I2) = eye(OB.nSubDim1,OB.nSubDim1);
                    else
                        OB.D(:,:,I1,I2) =  OB.A1(:,:,I1)'*K* OB.A1(:,:,I2);
                        OB.D(:,:,I2,I1) = OB.D(:,:,I1,I2)';
                    end
                end
            end
            OB.D = reshape(permute(OB.D,[1,3,2,4]), OB.nSubDim1 * OB.nClass, OB.nSubDim1 * OB.nClass);


            [B,OB.W] = eig(OB.D);
            [OB.W, ind] = sort(diag(OB.W),'ascend');
            B = B(:,ind);
            OB.O = diag(1./sqrt(OB.W))*B';


        end
        function [V2, E2, C2, A2 ] = TransformS(OB, X2,nSubDim2,nSubDim3)
            % ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽﾔに対ゑｿｽ?ｽ髓ｼ?ｽ?ｽﾏ奇ｿｽ
            % KPCA ?ｽ?ｽ ?ｽ?ｽ?ｽ?ｽﾏ奇ｿｽ ?ｽ?ｽ ?ｽO?ｽ?ｽ?ｽ?ｽ?ｽV?ｽ?ｽ?ｽ~?ｽb?ｽg


            nSize = size(X2);
            X2=X2(:,:,:);
            [~, nNum2,nSet2] = size(X2);

            A2 = zeros(nNum2,nSubDim2,nSet2); % X2?ｽ?ｽ?ｽ?ｽ?ｽ?ｽﾔゑｿｽKPCA?ｽ?ｽ?ｽ?ｽ?ｽW?ｽ?ｽ(?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ)
            E2 = zeros(nSubDim2,nSet2); % ?ｽﾅ有?ｽl(?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ)
            C2 = zeros(1,nSet2); % ?ｽ?ｽ^?ｽ?ｽ
            % ?ｽ?ｽ?ｽﾍ行?ｽ?ｽﾌ費ｿｽ?ｽ?ｽ`?ｽ蜷ｬ?ｽ?ｽ?ｽ?ｽ?ｽﾍゑｿｽs?ｽ?ｽ
            for I=1:nSet2
                [A2(:,:,I), E2(:,I), C2(I)] = orzKPCA(X2(:,:,I),nSubDim2,OB.nSigma,'R');
            end


            V2 = zeros(nSubDim3,nSubDim2,nSet2);
            for J = 1:nSet2
                a = zeros( OB.nSubDim1, nNum2,OB.nClass);
                % ?ｽN?ｽ?ｽ?ｽX?ｽ?ｽ?ｽﾉ趣ｿｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽﾔと抵ｿｽ?ｽ?ｽJ?ｽ[?ｽl?ｽ?ｽ?ｽO?ｽ?ｽ?ｽ?ｽ?ｽs?ｽ?ｽa?ｽ?ｽv?ｽZ
                for I = 1:OB.nClass
                    Z = cvtKernelGramMatrix(OB.X1(:, : ,I), X2(:, :, J), OB.nSigma);
					a(:,:,I) = OB.A1(:,:,I)' * Z;
                end
                a = permute(a,[1,3,2]);
                a = reshape(a,size(a,1)*size(a,2),size(a,3));

				tmp = OB.O(1:nSubDim3,:)*a*A2(:,:,J);
				tmp2 = orzGSO(tmp);
				V2(:, :, J) = tmp2;
% 				if size(tmp2) == [nSubDim3, nSubDim2]
%                 % ?ｽJ?ｽ[?ｽl?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ`?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽ?ｽﾔへ射影?ｽ?ｽ?ｽﾄ抵ｿｽ?ｽ?ｽ
% 					V2(:,:,J) = tmp2;
% 				else
% 					V2(:,:,J) = tmp;
% 				end
            end
            V2 = reshape(V2,[nSubDim3,nSubDim2,nSize(3:end),1]);
		end

        function [Y2] = Transform(OB, X2)
            % ?ｽp?ｽ^?ｽ[?ｽ?ｽ?ｽx?ｽN?ｽg?ｽ?ｽ?ｽﾉ対ゑｿｽ?ｽ髓ｼ?ｽ?ｽﾏ奇ｿｽ?ｽ?ｽ?ｽ?ｽ
            % ?ｽ?ｽ?ｽ?ｽ`?ｽ?ｽ?ｽ?ｽﾏ奇ｿｽ
            nSize = size(X2);
            X2=X2(:,:,:);
            [~, nNum2,nSet2] = size(X2);

            Y2 = zeros(OB.nOrthDim,nNum2,nSet2);
            for J=1:nSet2
                a = zeros( OB.nSubDim1,nNum2,OB.nClass);
                for I = 1:OB.nClass
                   Z = cvtKernelGramMatrix(OB.X1(:, :, I), X2(:, :, J), OB.nSigma);
                    a(:,:,I) = OB.A1(:,:,I)' * Z;
                end
                a = permute(a,[1,3,2]);
                a = reshape(a,OB.nSubDim1*OB.nClass,nNum2);
                Y2(:,:,J) = OB.O*a;
            end
            Y2 = reshape(Y2,[OB.nOrthDim,nNum2,nSize(3:end),1]);

        end

    end% methods
end% classdef