Method for determining the position of an elevator car, which is arranged so as to be movable in an elevator shaft, of an elevator installation, in which images of shaft components or shaft equipment serving other functions are captured using an image capture unit arranged on the elevator car and a current image is compared with at least one stored comparison image of said shaft components or shaft equipment in a direction of travel of the elevator car in order to determine a current position of the elevator car in the direction of travel, characterized by a start phase having the following steps - taking a start image when the elevator car is stationary at an unknown start position in the elevator shaft, - determining a start comparison characteristic value (52, 52a, 52b) for every possible position of the elevator car in the direction of travel, which value indicates a measure for a match of the start image with the comparison image of the particular position, - determining a start assumption position (PS1, PS2) of the elevator car on the basis of the start comparison characteristic values (52, 52a, 52b) and a start evaluation criterion, a review phase having the following steps - moving the elevator car along a review travel path to a review position in the elevator shaft, - taking a review image at the review position of the elevator car in the elevator shaft, - determining a review assumption position (PA1.1, PA2.1, PA1.2) of the elevator car from the previous assumption position (PS1, PS2, PA1.1, PA2.1) of the elevator car and the review travel path, - determining a review comparison characteristic value (58a, 58b, 64) for the review assumption position (PA1.1, PA2.1, PA1.2) of the elevator car, the review comparison characteristic value (58a, 58b, 64) indicating a measure for a match of the review image and with the comparison image of the review assumption position (PA1.1, PA2.1, PA1.2), and a decision phase in which a decision is made, on the basis of the review comparison characteristic (58a, 58b, 64), whether to - determine the review assumption position (PA1.2) as the current position of the elevator car, - carry out a further review phase and a further decision phase or - exclude the review assumption position (PA2.1) as the current position of the elevator car. characterized by a start phase having the following steps - taking a start image when the elevator car is stationary at an unknown start position in the elevator shaft, - determining a start comparison characteristic value (52, 52a, 52b) for every possible position of the elevator car in the direction of travel, which value indicates a measure for a match of the start image with the comparison image of the particular position, - determining a start assumption position (PS1, PS2) of the elevator car on the basis of the start comparison characteristic values (52, 52a, 52b) and a start evaluation criterion, - taking a start image when the elevator car is stationary at an unknown start position in the elevator shaft, - determining a start comparison characteristic value (52, 52a, 52b) for every possible position of the elevator car in the direction of travel, which value indicates a measure for a match of the start image with the comparison image of the particular position, - determining a start assumption position (PS1, PS2) of the elevator car on the basis of the start comparison characteristic values (52, 52a, 52b) and a start evaluation criterion, a review phase having the following steps - moving the elevator car along a review travel path to a review position in the elevator shaft, - taking a review image at the review position of the elevator car in the elevator shaft, - determining a review assumption position (PA1.1, PA2.1, PA1.2) of the elevator car from the previous assumption position (PS1, PS2, PA1.1, PA2.1) of the elevator car and the review travel path, - determining a review comparison characteristic value (58a, 58b, 64) for the review assumption position (PA1.1, PA2.1, PA1.2) of the elevator car, the review comparison characteristic value (58a, 58b, 64) indicating a measure for a match of the review image and with the comparison image of the review assumption position (PA1.1, PA2.1, PA1.2), and - moving the elevator car along a review travel path to a review position in the elevator shaft, - taking a review image at the review position of the elevator car in the elevator shaft, - determining a review assumption position (PA1.1, PA2.1, PA1.2) of the elevator car from the previous assumption position (PS1, PS2, PA1.1, PA2.1) of the elevator car and the review travel path, - determining a review comparison characteristic value (58a, 58b, 64) for the review assumption position (PA1.1, PA2.1, PA1.2) of the elevator car, the review comparison characteristic value (58a, 58b, 64) indicating a measure for a match of the review image and with the comparison image of the review assumption position (PA1.1, PA2.1, PA1.2), and a decision phase in which a decision is made, on the basis of the review comparison characteristic (58a, 58b, 64), whether to - determine the review assumption position (PA1.2) as the current position of the elevator car, - carry out a further review phase and a further decision phase or - exclude the review assumption position (PA2.1) as the current position of the elevator car. - determine the review assumption position (PA1.2) as the current position of the elevator car, - carry out a further review phase and a further decision phase or - exclude the review assumption position (PA2.1) as the current position of the elevator car.