I don't think you can directly connect the DVD player to the display and get 1080i resolution since the TV doesn't have HDMI or DVI inputs. And, since the DVD doesn't output 1080i over component, you can't use that.
Now, since it appears you have an up-converting receiver, you can probably connect the DVD via HDMI to the receiver and configure it to output HD over component. The feature list shows "Conponent Video Upconversion" but it's unclear if you can "down-convert" from HDMI or if the component will output 1080i.
Give it a try as that's the only way that I know of to get 1080i form your DVD player to your TV.