<div id="divcapture">

    @Html.ActionLink("Обновить", "GetCapture", "Registration", null, new AjaxOptions { UpdateTargetId = "divcapture" })
</div>

public FileContentResult GetCapture()
        {
            //Create new image
            Image img = new Bitmap(100, 50);
            Graphics g = Graphics.FromImage(img);

            //Do some drawing
            Font font = new Font("Arial", 24);
            PointF drawingPoint = new PointF(10, 10);

            g.DrawString("abc", font, Brushes.Black, drawingPoint);

            //Return Image
            MemoryStream ms = new MemoryStream();
            img.Save(ms, ImageFormat.Png);

            //return new FileStreamResult(ms, "image/png");
            return File(ms.ToArray(), "image/png");
        }

<div id="divcapture">

    @Html.ActionLink("Обновить", "GetCapture", "Registration", null, new AjaxOptions { UpdateTargetId = "divcapture" })
</div>