Sony RX1R III has a
61.0MP Full frame (35.8 x 23.8 mm ) sized BSI-CMOS sensor and features Bionz XR processor. On the other hand, Canon 1Ds has a
11.0MP Full frame (35.8 x 23.8 mm ) sized CMOS sensor .
Sony RX1R III's sensor provides 50MP more than Canon 1Ds's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Another difference between these two cameras is that Sony RX1R III's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the RX1R III and 1Ds sensor size comparison.
Sensor Size and Resolution Comparison image of Sony RX1R III and Canon 1Ds Cameras
Sony RX1R III and Canon 1Ds have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since Canon 1Ds has 447% larger pixel area (77.53µm 2 vs 14.15µm 2 ) compared to Sony RX1R III, it has larger pixel area to collect light hence potential to have less noise in low light / High ISO images.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Sony RX1R III
or the
Canon 1Ds ,
including hyperfocal distance.