Arrrghh 20 month old eats nothing for me

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My DD is a robust, lively 20 mo, she goes to a childminder 3 days a week where she eats perfectly well whatever I pack for her. When she's at home with us she eats more or less nothing. All the things I know she eats at the childminder's she absolutely doesn't eat with me. I was still giving her the food pouches up until a few months ago out of desperation when she wouldn't eat anything else, but she's decided she doesn't like them now.
It definitely strikes me a power games, as she throws things on the floor with a knowing look, turns her head away at whatever is offered. Whichever format we try to feed her (in highchair, at table with family, out of highchair) the only meal of the day she's good at is breakfast, everything else is a complete challenge, she'll be going down to one day a week at the childminder's from Jan so am concerned she's going to live off rice cakes & blueberries with me & consequently starve herself. I was told that a baby her age will always eat when hungry, but this doesn't seem to be the case with her.
Any tips for overcoming this are greatly appreciated :-)

Does she pinch food from you? My twins went through a phase where they wouldn't eat but would pinch stuff from my plate. I would put their dinner on my plate and sit down on the sofa as if I was about to eat and then let them steal it! You could try sitting her down at the table and not giving her any food but just eat your own. Then when she asks for what you've got, give her a tiny bit at a time. Act like you're not bothered whether she eats or not. That way she has no power. The most helpful thing I read about feeding is that it takes a grown man 64 days to die from starvation. Your dd won't starve! Look at what she eats over a 7 day period instead of daily and you'll probably be surprised.

Put her food on the table as usual. Don't make a fuss. If she eats it, great, if not, do not stress, do not show her you are bothered in the slightest, just calmly take the plate away. Do not offer anything else until the next meal time. Repeat as above. It is a power struggle. Do not rise to it. The quicker you deal with this the better. She will not starve herself.