Arborography: Mapping a Tree in 3 dimensions

See the Images section for the results!


Treemapping:


A map of an individual tree can be used for the same purposes as a map of the land. It can be a guide to a specific place, a set of data to measure, an orientation aid, or a just a pretty picture. In this page I'll outline the basic ideas behind the mapping technique used in this project. Using a logical branch naming system, simple surveying concepts, and some basic shapes, detailed 3-d models can be generated.


A Method for Mapping a Tree
Contents:

1)Branching Logic
2)Geometry
3)Elements
4)Connections
5)Traps and Features
6)Virtual 3-d models


1) Branching Logic

In the branching logic definition, multiple "children" branches sprout from a single "parent" branch. Each branch is given a unique name that traces its parentage.

The letter "b" is used as a divider character. The number before is the height in metres at which this branch is connected to the trunk. The first number after is to identify which branch is attached to the trunk at that height, and the subsequent digits identify which child branch.

Thus, "42.8b23"is the 3rd branch connected to the 2nd branch connected to the trunk at 42.8 metres from the ground, as measured by a tape stretched from the ground.

This system can be used to any degree of branching resolution. It can be adapted to trees without distinct trunks by abandoning the first portion of the name.



2) Geometry


Vectors are used to describe the geometry of a tree. A vector is a line in space and can be defined by three measurements in spherical space:

1)Slope: Angle measured with a clinometer between horizon at 0 degrees and straight up away from Earth at 90 degrees. Straight down to the ground is -90 degrees.

2)Azimuth: Compass angle in degrees with North= 0, E=90, S=180, W=270. (Don't forget the magnetic declination!)

3)Distance: A measurement of distance in metres by tape measure, laser rangefinder, or estimation.


3) Elements


The vectors are fleshed out to form Cones ( ) or Cylinders ( ).

Vectors can be turned into a cone by adding a start circumference only, or to a cylinder by measuring both a start and end circumference.

Branches are simplified into a cone when they cannot be measured in any more detail. Cones have no children branches.

Cylinders (which are technically "truncated cones") are used for large branch segments. Cylinders usually have children branches.

If a branching junction is the farthest that can be accessed, the parent branch is measured as a cylinder, and children branches measured as cones.

Think of your upper arm and forearm and palm as cylinders, and your fingers as cones.

The trunk of the tree is measured as a series of stacked cylinders by recording a circumference at regular intervals. Dead branches that have cracked and lost their ends are sometimes modeled as cylinders with no children.

Cones representing branches with foliage are further elaborated by creating a field of lines to encompass the volume of the foliage and outer branches. By adding a down, up, left, and right vector to the central cone, the map shows more than just the wood skeleton. Nominal "Foliar units" are used to quantify the amount of foliage on each branch.


4) Connections


Children branches often sprout from somewhere other than the end of their parent branches. The distance along the parent vector from which they arise can be recorded. For instance, a branch named 55.0b41 could be recorded arising at 1.2 metres along the distance of 55.0b4 (which is the 4th branch connected to the tree at 55.0 metres). Branch 55.0b42 may arise further along the branch at 1.6m. This strategy is similar to the labelling of a branch as originating at a certain height along the trunk.

Some branches arising from the trunk are non-radial, that is, they are not attached to trunk in the same direction that they point. The azimuth from the tree's center to the branch attachment can be recorded as distinct from the vector azimuth. Resprout branches or epicormic shoots often develop branches on one side of the tree that grow in other directions. These resprout branches are often very shallowly embedded - they are only connected into the wood from the point at which they originated. Original branches are often radial and embedded deeply into the tree, having originated when the tree was a narrow terminal shoot.


5) Features

Notable structural attributes, traps, and survey stations are photographed and recorded in this mapping framework as best as possible. A method to depict traps in the appropriate 3 dimensional locations is being developed. Difficulties have arisen with scale: an image depicting a trap 15cm square on a 70m tree shrunk to a 25 cm computer screen does not get interpreted well by the human eye .


6) Virtual 3-d models


The collected data is entered into MS Excel and reformatted to command scripts for Microstation Computer Aided Drafting program. Separate scripts are made for the trunk, branches, foliage fields, traps, and features. Photographs of Eucalyptus obliqua stringybark are rendered onto the surface. You can see these models through a variety of ways- as static images, Hotmedia spinning animations, step-by-step animations, and whatever else I can conjure up!

See the Images section for the results!


This mapping method owes greatly to my experience in Summer 2001 with Robert Van Pelt's field crew mapping conifers in Washington State for the International Canopy Network (ICAN). A similar mapping method using cylindrical coordinate systems has been developed by Stephen Sillett and Nalini Nadkarni. Thanks for the inspiration.