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public string GetRegionTextPage(
    Vintasoft.Imaging.Pdf.Tree.PdfPage page,
    Vintasoft.Imaging.UI.ImageViewer imageViewer,
    System.Drawing.Rectangle selectedRegion)
{
    // convert the rectangle from the control coordinates to the image coordinates
    System.Drawing.RectangleF imageCoordinateSystemRectangle =
        imageViewer.RectangleToImage(selectedRegion);

    // get left-top point of the rectangle
    System.Drawing.PointF pdfPageCoordinateSystemPoint1 = imageCoordinateSystemRectangle.Location;
    // get rigth-bottom point of the rectangle
    System.Drawing.PointF pdfPageCoordinateSystemPoint2 =
        new System.Drawing.PointF(imageCoordinateSystemRectangle.Right, imageCoordinateSystemRectangle.Bottom);
    // get resolution of the image
    Vintasoft.Imaging.Resolution resolution = imageViewer.Image.Resolution;
    // convert points from the image coordinate space to the page coordinate space
    page.PointToUnit(ref pdfPageCoordinateSystemPoint1, resolution);
    page.PointToUnit(ref pdfPageCoordinateSystemPoint2, resolution);

    // create rectangle in the page's coordinate space
    System.Drawing.RectangleF rectangle = new System.Drawing.RectangleF(new PointF(pdfPageCoordinateSystemPoint1.X, pdfPageCoordinateSystemPoint1.Y),
        new System.Drawing.SizeF(
            pdfPageCoordinateSystemPoint2.X - pdfPageCoordinateSystemPoint1.X,
            pdfPageCoordinateSystemPoint2.Y - pdfPageCoordinateSystemPoint1.Y));
    // get text region of the page           
    Vintasoft.Imaging.Text.TextRegion textRegion = page.TextRegion.GetSubregion(
        rectangle,
        Vintasoft.Imaging.Text.TextSelectionMode.Rectangle);

    string textContent = string.Empty;
    // if text region is found
    if (textRegion != null)
        textContent = textRegion.TextContent;

    return textContent;
}

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GetRegionTextPage(page, _annotationViewer, new Rectangle(new Point((int)_annotationViewer.AnnotationDataCollection[0].Location.X, (int)_annotationViewer.AnnotationDataCollection[0].Location.Y), new Size((int)_annotationViewer.AnnotationDataCollection[0].Size.Width, (int)_annotationViewer.AnnotationDataCollection[0].Size.Height)));

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GetRegionTextPage(page, _annotationViewer, new Rectangle(new Point((int)_annotationViewer.AnnotationDataCollection[0].Location.X, (int)_annotationViewer.AnnotationDataCollection[0].Location.Y), ...

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...
MessageBox.Show(GetTextByAnnotation(annotationViewer1.Image, (RectangleAnnotationData)annotationViewer1.FocusedAnnotationData));
...

/// <summary>
/// Extracts the text that is located in specified rectangle.
/// </summary>
/// <param name="image">The image.</param>
/// <param name="rect">The rectange, in DIP (Device Indepened Pixels) space.</param>
public static string ExtractText(
    Vintasoft.Imaging.VintasoftImage image,
    RectangleF rect)
{
    // get text region of image
    Vintasoft.Imaging.Text.TextRegion textRegion = image.Metadata.TextRegion;
    if (textRegion == null)
        return "";

    // transform rect to TextRegion space
    rect = Vintasoft.Imaging.Utils.GraphicsUtils.TransformRect(rect, textRegion.TrasformFromDipSpace);

    // get text sub region for specified rect
    textRegion = textRegion.GetSubregion(rect, Vintasoft.Imaging.Text.TextSelectionMode.Rectangle);

    // return text
    return textRegion.TextContent;
}

public static string GetTextByAnnotation(
    Vintasoft.Imaging.VintasoftImage image,
    Vintasoft.Imaging.Annotation.RectangleAnnotationData annotation)
{
    // rect in DIP space
    System.Drawing.RectangleF rect = new System.Drawing.RectangleF(
        annotation.Location.X - annotation.Size.Width / 2,
        annotation.Location.Y - annotation.Size.Height / 2,
        annotation.Size.Width,
        annotation.Size.Height);
    // extract text
    return ExtractText(image, rect);
}