private void transform(int transformation, int[] groups, int xOffset, int yOffset, int zOffset) {
		int count = groups.length;
		if (transformation == FrameConstants.CENTROID_TRANSFORMATION) {
			int vertices = 0;
			centroidX = 0;
			centroidY = 0;
			centroidZ = 0;
			for (int index = 0; index < count; index++) {
				int group = groups[index];
				if (group < vertexGroups.length) {
					for (int vertex : vertexGroups[group]) {
						centroidX += vertexXCoordinate[vertex];
						centroidY += vertexYCoordinate[vertex];
						centroidZ += vertexZCoordinate[vertex];
						vertices++;
					}
				}
			}

			if (vertices > 0) {
				centroidX = centroidX / vertices + xOffset;
				centroidY = centroidY / vertices + yOffset;
				centroidZ = centroidZ / vertices + zOffset;
			} else {
				centroidX = xOffset;
				centroidY = yOffset;
				centroidZ = zOffset;
			}
		} else if (transformation == FrameConstants.POSITION_TRANSFORMATION) {
			for (int index = 0; index < count; index++) {
				int group = groups[index];
				if (group < vertexGroups.length) {
					for (int vertex : vertexGroups[group]) {
						vertexXCoordinate[vertex] += xOffset;
						vertexYCoordinate[vertex] += yOffset;
						vertexZCoordinate[vertex] += zOffset;
					}
				}
			}
		} else if (transformation == FrameConstants.ROTATION_TRANSFORMATION) {
			for (int group : groups) {
				if (group < vertexGroups.length) {
					for (int vertex : vertexGroups[group]) {
						vertexXCoordinate[vertex] -= centroidX;
						vertexYCoordinate[vertex] -= centroidY;
						vertexZCoordinate[vertex] -= centroidZ;
						if (zOffset != 0) {
							int sin = SINE[zOffset];
							int cos = COSINE[zOffset];
							int x = vertexYCoordinate[vertex] * sin + vertexXCoordinate[vertex] * cos >> 16;
							vertexYCoordinate[vertex] = vertexYCoordinate[vertex] * cos - vertexXCoordinate[vertex] * sin >> 16;
							vertexXCoordinate[vertex] = x;
						}
						if (xOffset != 0) {
							int sin = SINE[xOffset];
							int cos = COSINE[xOffset];
							int y = vertexYCoordinate[vertex] * cos - vertexZCoordinate[vertex] * sin >> 16;
							vertexZCoordinate[vertex] = vertexYCoordinate[vertex] * sin + vertexZCoordinate[vertex] * cos >> 16;
							vertexYCoordinate[vertex] = y;
						}
						if (yOffset != 0) {
							int sin = SINE[yOffset];
							int cos = COSINE[yOffset];
							int x = vertexZCoordinate[vertex] * sin + vertexXCoordinate[vertex] * cos >> 16;
							vertexZCoordinate[vertex] = vertexZCoordinate[vertex] * cos - vertexXCoordinate[vertex] * sin >> 16;
							vertexXCoordinate[vertex] = x;
						}
						vertexXCoordinate[vertex] += centroidX;
						vertexYCoordinate[vertex] += centroidY;
						vertexZCoordinate[vertex] += centroidZ;
					}

				}
			}
			return;
		} else if (transformation == FrameConstants.SCALE_TRANSFORMATION) {
			for (int index = 0; index < count; index++) {
				int group = groups[index];
				if (group < vertexGroups.length) {
					for (int vertex : vertexGroups[group]) {
						vertexXCoordinate[vertex] -= centroidX;
						vertexYCoordinate[vertex] -= centroidY;
						vertexZCoordinate[vertex] -= centroidZ;

						vertexXCoordinate[vertex] = vertexXCoordinate[vertex] * xOffset >> 7;
						vertexYCoordinate[vertex] = vertexYCoordinate[vertex] * yOffset >> 7;
						vertexZCoordinate[vertex] = vertexZCoordinate[vertex] * zOffset >> 7;

						vertexXCoordinate[vertex] += centroidX;
						vertexYCoordinate[vertex] += centroidY;
						vertexZCoordinate[vertex] += centroidZ;
					}
				}
			}
		}
		if (transformation == FrameConstants.ALPHA_TRANSFORMATION && faceGroups != null && faceAlphas != null) {
			for (int index = 0; index < count; index++) {
				int group = groups[index];
				if (group < faceGroups.length) {
					for (int face : faceGroups[group]) {
						faceAlphas[face] += xOffset * 8;
						if (faceAlphas[face] < 0)
							faceAlphas[face] = 0;
						if (faceAlphas[face] > 255)
							faceAlphas[face] = 255;
					}
				}
			}
		}
	}