Fun with Topographical maps

Morgan Brown

Research
Talks
Topo Maps
Example Maps 2
DEM Processing
Adventures
Images


Books that Morgan
Recommends...

Infinite Perspectives : Two Thousand Years of Three-Dimensional Mapmaking - by Ambroziak, Ambroziak, and Bradbury. Quickly gaining stature as a classic.


Extra...

TopoZone - Awesome!
Free, seamless, online
USGS topos.

REI - REI sells topo
maps - both USGS 7.5'
and Trails Illustrated.

USGS Mapping - Home
base for USGS map info.



The USGS sells printed topographical maps of the US at different scales for a reasonable price. Modern maps are no longer produced by manual surveying, but acquired from aerial photography and then converted to elevation maps. Since the cost of computer storage is rapidly becoming negligible, USGS freely distributes the Digital Elevation Models (DEM), sampled digital representations of the real maps, over the web. The entire 1:24000, or "7.5 minute" scale collection of the US is available free of cost. click here to download DEM's from USGS.

Unfortunately, these maps are distributed in a U.S. government binary format, SDTS, short for Spatial Data Transfer Standard. Hard-core developers can download SDTS++, a "C++ toolkit that programmers can use to write applications that can read or write SDTS datasets." More casual users who run a Windows machine have many options for viewing SDTS maps. Doug Armknecht's TopoWeb page gives an excellent summary and tutorial. I also have a Yahoo! Club called Digital Elevation Model Mapping which is a good forum for discussion.

I use a Linux workstation, so my options, short of writing my own conversion software with SDTS++, are more limited. Click here and I'll take you through my data processing flow. After I get the data into a processible state, any 2-D image processing techniques are fair game. As you can see below, I've made "steepness maps" by a simple gradient magnitude computation. I've also tried to solve the "traveling hiker problem" ( explanation | examples ): given a series of fixed points, determine the optimal path passing through all the fixed points, i.e., the path that minimizes the amount of work done by the hiker. My approach is crude, so please poke fun at me if I deserve it, or better yet, give me your solution!

To cut to the chase and look at the pictures, check out the example maps below and on the next page.
Example Maps

3-D topo map

Vicinity map
Yosemite Valley
15 x 21.5 minute composite map of the Yosemite Valley region, Yosemite NP, USA. The valley, originally carved into the granites of the Yosemite batholith by the Merced River, then further sculpted by glaciers, boasts shear walls of nearly 1000m in places.

3-D Half Dome
Visibility map

Relative
Steepness map


3-D topo map

Vicinity map
Grand Canyon of the Tuolumne River
7.5 x 30 minute composite map of the Grand Canyon of the Tuolumne River, Yosemite NP, USA. Like its more renowned cousin to the south, Yosemite Valley, this valley was originally carved into the granite by glacial erosion. At its deepest, the canyon is 1000m high, but much thinner than Yosemite Valley. The Tuolumne River was dammed soon after 1900 to create Hetch Hetchy Reservoir, which supplies water to San Francisco (look for the aqueduct from Hwy. 120). Although the damming ruined the splendors of the valley, which were reputed to closely rival Yosemite Valley's, it created some very interesting scenery. I recommend hiking here during busy times.


3-D topo map

Vicinity map
Crater Lake
7.5 x 15 minute composite map of Crater Lake, Crater Lake NP, USA. The incredibly deep (500+m), incredibly clear lake lies inside the collapsed caldera of the former Mount Mazama, which erupted explosively 7700 years ago. A must see!


3-D topo map

Vicinity map
Mount Rainier
15 x 15 minute composite map of the Mount Rainier area, Washington, USA. At 14,410 feet (~4300m), Mount Rainier is among the highest peaks in the lower 48 states. What sets it apart is the contrast. On a clear day you can see Rainier from Seattle, and most terrain around the base is less than 5000 feet (~1500m) in elevation. Many active glaciers reside on Rainier's slopes, making it a realistic high-peak climbing situation. In many ways, Rainier is the crown jewel of the Cascades Range volcanoes.


3-D topo map

Vicinity map
Mount Saint Helens
7.5 minute map of the Mount Saint Helens area, Washington, USA. This presumed-dormant volcano was about 3000m high before an erupion in May, 1980 vaporized the top 500m, raining down ash over much of the northern hemisphere. The area is now a national monument, though when I visited in 1992, the region was still a moonscape. I've heard vegetation is setting in, however.

See the next page



© 2005 , Stanford Exploration Project
Department of Geophysics
Stanford University

Modified: 11/18/05, 13:52:58 PST , by morgan
Page Maintainer: morgan `AT' sep.stanford.edu