diff --git a/src/uapca.ts b/src/uapca.ts
index 4ce97ad..5ddb439 100644
--- a/src/uapca.ts
+++ b/src/uapca.ts
@@ -6,15 +6,6 @@ export interface Distribution {
     covariance(): Matrix;
 }
 
-export interface Projection {
-    /**
-     * Projects a distribution onto a lower dimensional subspace
-     * defined by the dimensions of the `projectionMatrix`.
-     * @param {Matrix} projectionMatrix - Defined as column matrix.
-     */
-    project(projectionMatrix: Matrix): Projection;
-}
-
 export interface AffineTransformation {
     /**
      * Performs an affine transformation of the distribution
@@ -22,9 +13,16 @@ export interface AffineTransformation {
      * @param {Matrix} b - Translation defined as row vector.
      */
     affineTransformation(A: Matrix, b: Matrix): AffineTransformation;
+
+    /**
+     * Projects a distribution onto a lower dimensional subspace
+     * defined by the dimensions of the `projectionMatrix`.
+     * @param {Matrix} projectionMatrix - Defined as column matrix.
+     */
+    project(projectionMatrix: Matrix): AffineTransformation;
 }
 
-export class MultivariateNormal implements AffineTransformation, Distribution, Projection {
+export class MultivariateNormal implements AffineTransformation, Distribution {
     private meanVec: Matrix;
     private covMat: Matrix;
     public constructor(meanVec: Array<number> | Matrix, covMat: Array<Array<number>> | Matrix) {
@@ -108,25 +106,23 @@ export function arithmeticMean(matrices: Array<Matrix>): Matrix {
     return sum.div(N);
 }
 
-function centering(distributions: Array<Distribution>): Matrix {
-    const v = arithmeticMean(distributions.map(d => d.mean()));
-    return outerProduct(v);
-}
-
 export class UaPCA {
     private lengths: Array<number>;
     private vectors: Matrix; // row matrix!
+    private mean: Matrix;
 
-    private constructor(lengths: Array<number>, vectors: Matrix) {
+    private constructor(lengths: Array<number>, vectors: Matrix, mean: Matrix) {
         this.lengths = lengths;
         this.vectors = vectors;
+        this.mean = mean;
     }
 
     public static fit(
         distributions: Array<Distribution>,
         scale: number = 1.0,
     ): UaPCA {
-        const center: Matrix = centering(distributions);
+        const empiricalMean = arithmeticMean(distributions.map(d => d.mean()));
+        const center: Matrix = outerProduct(empiricalMean);
         const empericalCov: Matrix = arithmeticMean(distributions.map(d => {
             return outerProduct(d.mean()).add(Matrix.mul(d.covariance(), scale * scale))
                 .sub(center);
@@ -140,7 +136,7 @@ export class UaPCA {
         const pairs: Array<[number, Array<number>]> = evals.map((e, i) => [e, evecs[i]]);
         const comps = pairs.sort((a, b) => b[0] - a[0]);
 
-        return new UaPCA(comps.map(d => d[0]), new Matrix(comps.map(v => v[1])));
+        return new UaPCA(comps.map(d => d[0]), new Matrix(comps.map(v => v[1])), empiricalMean);
     }
 
     public aligned(): UaPCA {
@@ -150,7 +146,7 @@ export class UaPCA {
                 vecs.setRow(i, vecs.getRowVector(i).mul(-1));
             }
         }
-        return new UaPCA(this.lengths, vecs);
+        return new UaPCA(this.lengths, vecs, this.mean);
     }
 
     public eigenvalues(nDims?: number): Array<number> {
@@ -164,11 +160,15 @@ export class UaPCA {
     }
 
     public transform(
-        objects: Array<Projection>,
+        objects: Array<AffineTransformation>,
         components: number,
-    ): Array<Projection> {
+    ): Array<AffineTransformation> {
         const projMat = this.projectionMatrix(components);
-        return objects.map(d => d.project(projMat.transpose()));
+        const centered = objects.map(d => d.affineTransformation(
+            Matrix.eye(this.mean.columns, this.mean.columns),
+            Matrix.mul(this.mean, -1)
+        ));
+        return centered.map(d => d.project(projMat.transpose()));
     }
 }