Generating permalinks

I have created a page template named “photo”. It contains php code displaying:
– the whole gallery: thumbnails linking to photo albums
– one album : thumbnails linking to pictures
– or one full-size picture
The same page is reloaded when the user clicks on a link, with variables such as album name passed on with the get method. This makes URLs like :
https://www.frize.de/blog/photo?album=people
https://www.frize.de/blog/photo?album=people&picture=JohnDoe

Is there a way to make those URLs look like permalinks? e.g.:
https://www.frize.de/blog/photo/people
https://www.frize.de/blog/photo/people/JohnDoe

Thank you
Philippe Friz??