Image caption Sir Chris Hoy greeted the crowds on the tour through Edinburgh cty centre

Sir Chris Hoy, Tim Baillie, Katherine Grainger and Neil Fachie are among Olympic medal winners who have been celebrated at events across Scotland.

Sir Chris took part in Edinburgh's Olympic homecoming, where he received the freedom of the city.

Athletes with ties to the north east of Scotland also took part in an open-top bus tour in Aberdeen.

And in Dunblane, US Open champion and Olympic gold medallist Andy Murray went on a walkabout to meet fans.

You can't really put it into words what it means but it's our chance to thank everybody Sir Chris Hoy

Events in Edinburgh saw about 30,000 people turn out to watch Sir Chris join other Olympians and Paralympians in an open-top bus parade through the city centre, from High Street to the Assembly Rooms.

The bus left the City Chambers and arrived at the Assembly Rooms for the freedom of the city ceremony and a civic reception.

Sir Chris told BBC Scotland it had been a great day.

He said: "It's very emotional to see just what it means to the public, in particular in your home town, to come back to Edinburgh, my home city, and get this kind of support on a day that's not been that kind to us weather-wise, it's just amazing.

"You can't really put it into words what it means but it's our chance to thank everybody for their support."

Image caption Olympians and Paralympians are taking part in celebrations in the north east

The Aberdeen parade took place through the heart of the city, before heading to a reception at Haddo House in Ellon.

Olympic gold medal winners Tim Baillie and Katherine Grainger, and Paralympics hero Neil Fachie, were all involved.

The bus tour travelled from Union to Westhill with the public also able to watch athletes arrive at Haddo House, for the private reception.

Baillie, of Westhill, won gold in the canoe slalom C2 event, edging out Aberdeen's David Florence who won silver.

'Amazing efforts'

Rower Grainger - who has links with Glasgow, Aberdeen and Edinburgh - triumphed in the women's double scull with Anna Watkins.

Aberdeen cyclist Fachie, and his pilot Barney Storey, won gold in the men's individual B 1km time trial.

The Provost of Aberdeenshire, Jill Webster, said: "This year's Olympic and Paralympic Games in London are already written into modern British history and we are proud of the role played by the north east of Scotland in making that happen."

Aberdeen Provost George Adam added: "This event is a wonderful way for all of us to show them just how much we admire their amazing efforts."

Murray arrived in Dunblane on an open-top bus before taking part in a walkabout around the Stirling town and then heading on to the Dunblane Tennis Club courts.

The tennis ace, who was unable to make the Olympic parades in London or Glasgow, said it was "emotional" to return to his hometown.