Your knowledge is limited, then.
On the shroud image no it has not been because the image is not made of human residue, but on the blood stains it absolutely has been attempted.
DNA analysis has been attempted but the strands are so contaminated and broken that it has been unsuccessful to date. A lot of work on the blood was accomplished in the 1990s by some of the world's top experts on blood and its derivatives. Anyone who claims there is no blood on the shroud is ignoring the peer reviewed science and going with outdated, non-peer reviewed work that was done using techniques that just didn't work with blood that was so old. Over three dozen tests for blood, hemoglobin, Human antibodies, and primate antibodies have proved that the blood is blood and further more that it is human blood.
It is amusing to see Joe Nickell, a noted "scientist" with a degree in English Literature, and a failed stage magician, claim that world class experts in human blood and blood derivatives, including Dr. Bruce Cameron, whose double doctorate is specialized in Hemoglobins and its derivative, don't know what they are talking about when they say it's blood and try to tell them they are really looking at Red Ochre paint. Absurd.
The root source of this information is a November 1998 B.A.R. article by Walter C. McCrone in which he says:
"Nearly 20 years ago the Catholic Church invited me to determine chemically what the image is on the Shroud of Turin."I obtained 32 samples from the shroud: 18 from areas where there are images (both of a body and of bloodstains) and 14 from non-image areas (some from clear areas that served as controls, others from scorch and water stains caused by a fire in 1532). The samples were taken with squares of sticky tape, each of which exceeded a square inch in area and held more than 1,000 linen fibers and any materials attached to the shroud.
"They were excellent samples. I used standard forensic tests to check for blood. I found none. There is no blood on the shroud.
"To determine what substances are present in the shroud images, I conducted tests based on polarized light microscopy. I identified the substance of the body-and-blood images as the paint pigment red ochre, in a collagen tempera medium. The blood image areas consist of another pigment, vermilion, in addition to red ochre and tempera. These paints were in common use during the Middle Ages."
So McCrone in 1998 is talking about tests he conducted in the late 1970s or early '80s. It would be interesting to learn how and why McCrone's tests were in error.