Canon SX1 IS has a 10.0MP 1/2.3" (6.17 x 4.55 mm ) sized CMOS sensor . On the other hand, Fujifilm HS35EXR has a 16.0MP 1/2" (6.4 x 4.8 mm ) sized EXRCMOS sensor and features EXR processor.
Fujifilm HS35EXR's sensor provides 6MP more than Canon SX1 IS'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.
Below you can see the SX1 IS and HS35EXR sensor size comparison.
Canon SX1 IS and Fujifilm HS35EXR have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.