Summarize this article:

Spend time near the carrier and speak in soothing tones until the cat seems calm when you're nearby. When the cat is used to your presence and no longer acting as wild, you can allow it more space to move around. Allow the cat to leave the carrier but stay in a small room that you have cat-proofed.  Don't force the cat to come out, let it willingly come to you. Provide a private hiding space where the cat can go to reduce stress levels. Make sure it's an accessible spot so you can reach the cat if necessary. Make sure there's no way the cat can escape through a door, window or crack. Smaller rooms make the best socialization rooms. Alert your family members so that the cat won't escape the room if they enter. Plan to settle in for a few hours to help the cat get used to your presence. You can entice it to come closer by setting out a trail of treats leading to where you are sitting. Sit on the floor to get closer to the cat's level, and be patient while it gets used to you being there.  Do this every day, possibly for weeks, until the cat comes close enough to be handled. Don't make eye contact with the cat, as they view it as a threat. Try lying on the floor to help the cat feel more comfortable, as you will appear smaller. If the cat doesn't seem comfortable coming up to you even after several days, adjust how and when you feed the cat.  Don't leave food out for the cat when you leave the room.  Bring food in with you when you visit the cat and be with it while it eats.  Keep the food dish close to you while you're feeding the cat. When the cat is finished eating and you're ready to leave the room, take the food with you. Don't starve the cat, make sure it is actually eating. You should leave water in the room at all times. After several days, most cats will begin feeling more comfortable approaching you for food and treats. Now it's time to advance to helping the cat feel safe while being picked up or petted. When the cat comes close, use a towel to lift it into your arms.  Lift the cat gently and carefully. If he cat runs away or hisses, try again tomorrow. Never use your bare hands to pick up a feral cat. You might want to go in wearing thick jeans, long sleeves and gloves. Don't scare the cat or force interaction.  This will undo any trust. When holding the cat, try giving it some treats. When you successfully have the cat in your arms, pet the cat's head from behind, very gently. Speak to the cat in soothing tones. Stroke the cat's head and back for several minutes.  If the cat resists, let it down. Do this every day until the cat comes to you to be picked up. Never approach from the front, as this will startle the cat. Always reward the cat for good behavior with some treats. The last part of the taming period can last more than a month. Keep working with the cat until it no longer exhibits fear or has any problem being handled and petted. Eventually the cat should feel comfortable being handled.  Change the cats food and water daily. Pick the cat up, pet it, and talk to it at least once a day. The cat could remain skittish for quite a long time. Invite your friends to visit the cat to help it get used to people in general. The cat will eventually not require treats when you pick them up. Once the taming period is complete, the cat is ready for a normal domestic life. You may decide to keep the cat in your house or bring it to a shelter to put it up for adoption.  If you keep the cat, be sure to get it neutered or spayed. Introduce the cat to other pets in your household slowly.

Summary:
Gradually give the cat more room. Enter the room with a bag of treats. Consider luring the cat to you using the advantage of hunger. Approach the cat and pick it up. Pet the cat’s head from behind. Play with the cat every day. Keep the cat or place it up for adoption.