Canon SX510 HS has a
12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor and features Digic 4 processor. On the other hand, Canon SX410 IS has a
20.0MP 1/2.3 (6.17 x 4.55 mm ) sized CCD sensor and features DIGIC 4+ processor.
Canon SX410 IS's sensor provides 8MP more than Canon SX510 HS'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 SX510 HS and SX410 IS sensor size comparison.
Canon SX510 HS and Canon SX410 IS 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.