Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland

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Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Empirical 3D and 4D structural
 tree models from TLS data
         Pasi Raumonen

3D Tree Models for Forest Dynamics
        9th - 10th Jan 2020
         Helsinki, Finland
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Outline

1. Data: Terrestrial laser-scanning

2. Empirical 3D models: Woody structure

3. Empirical 3D models: Leaves

4. Empirical 4D models
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Terrestrial laser-scanning

                             3D point cloud
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Terrestrial laser-scanning

• Accurate and comprehensive 3D data from tree’s surface
• Makes possible to measure (and model) trees
  • non-destructively
  • safely
  • fast
  • cheaply
• We can have accurate empirical models of trees
  • Branching structure
  • Volumetric and geometric data
  • Leaves
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Photogrammetric point clouds

•   Use a camera (even a smart phone camera) to take lot of photos of the
    trees and then produce 3D point cloud using the Structure from Motion
    (SfM) method.

•   Marzulli et al. 2020: “Estimating tree stem diameters and volume from
    smartphone photogrammetric point clouds”. Forestry: An International
    Journal of Forest Research.

•   This conference: Phil Wilkes: “A comparison of terrestrial LiDAR and
    photogrammetry for rapid characterisation of fine scale branch structure”.
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
2. Empirical 3D models:
    Woody structure
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Empirical tree models

•   No right or obvious way to model trees.

    •   No useful parametrisable surface presentations.

•   Model that contains all the essential information of
    the data.

•   Robust way to reconstruct the model.

•   Solution: Building block or geometric primitive
    approach.

    •   Tree modelled as a hierarchical collection of
        cylinders or other primitives fitted to local details.

                                                                 Photo and point cloud data provided by Eric Casella, UK Forest Research Agency
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
QSM - Quantitative Structure Model

•   Hierarchical collection of cylinders fitted
    to local details of the tree.

•   Compact model containing essential
    topological, geometrical and volumetric
    tree properties.

    •   Branching structure, branching order.

    •   Volumes, lengths, angles, diameters,
        etc.
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Geometric primitives

•   Other simple shapes as building
    blocks.

    •   Elliptical and polygonal
        cylinders, cones.

•   Hybrid models with different
    building blocks possible.

•   Cylinder is the most robust choice.

•   Not yet implemented in TreeQSM,        •   Åkerblom et al. 2015: “Analysis
                                               of geometric primitives in
    except the possibility for modelling
                                               quantitative structure models of
    the bottom of the stem with
                                               tree stems”. Remote Sensing
    triangular mesh.
Empirical 3D and 4D structural tree models from TLS data - Pasi Raumonen 3D Tree Models for Forest Dynamics 9th - 10th Jan 2020 Helsinki, Finland
Geometric primitives

•   Simple model whose surface is discontinuous.

•   May not be visually pleasing or realistic-looking.

•   Still topologically and geometrically accurate
    and contains most of the structural information.

•   More complicated modelling often only
    decreases the stability and accuracy without any
    essential or useful new information.

•   Visualisation with nice-looking surfaces and
    textures possible from QSMs.
QSM papers and reconstruction methods
•   Raumonen et al. 2013: “Fast Automatic Precision Tree Models from Terrestrial Laser
    Scanner Data”. Remote Sensing.

•   Calders et al 2015: “Nondestructive estimates of above-ground biomass using
    terrestrial laser scanning”. Methods in Ecology and Evolution.

•   Raumonen et al. 2015: “Massive-scale tree modelling from TLS data”. ISPRS Annals.

•   Disney et al. 2018: “Weighing trees with lasers: advances, challenges and
    opportunities”. Interface Focus.

•   TreeQSM - MATLAB implementation, freely available in GitHub.

•   Hackenberg et al. 2015: “SimpleTree —An Efficient Open Source Tool to Build Tree
    Models from TLS Clouds”. Forests.

•   Trochta et al. 2017: “3D Forest: An application for descriptions of three-dimensional
    forest structures using terrestrial LiDAR”. Plos One.

•   Computree. GIP ECOFOR, ONF, Arts et Métiers Paristech, IGN, INRA and Université
    de Sherbrooke.
TreeQSM: How it works?

Input: point cloud, parameters              —> Branch-segmented point cloud          —>    Cylindrical QSM

         xyz-data                                    Topology, branching structure        Geometry, volumes

          Point cloud data provided by Eric Casella, UK Forest Research Agency
TreeQSM: Basic assumptions
•   Single tree in the point cloud. Can have some points from ground and understory.

•   Only (x,y,z) -data needed, not using intensity, colour, etc.

•   Whole tree is wood. Leaves/noise present in the data may be modelled as part of the wood.

•   “Data-driven”: Only sufficiently visible tree parts can be accurately reconstructed.

•   Cylinder is an acceptable building block.

•   Optional: Branches taper and are smaller in diameter than their parents.

•   Separate stem near the ground clearly visible in the data.

•   No special assumptions about tree species or size other than the above ones.
Structural but not fully architectural

•   TLS-derived QSMs have structure: stem and branches, diameters,
    lengths, volume, etc.

•   But normally the TLS-derived QSMs do not contain full tree architecture.
•   For example, the primitives (cylinders) don’t correspond to yearly growth
    (internodes), shoots, or other functional units, etc.
•   Still, a lot of useful structural information can be accessed from QSMs.
•   This conference: Hans Verbeeck: “Time for a Plant Structural Economics
    Spectrum”.
Challenges and limitations
• Need for automatic tree extraction.
  • Raumonen et al. 2015: “Massive-scale tree modelling from TLS data”. ISPRS
     Annals.
   • Andrew Burt 2017: “treeseg", “New 3D measurements of forest structure”.
     UCL.
   • This conference: Di Wang: “Towards an automated processing chain for 3D
     tree reconstructions from large scale TLS data”.

• Leaves should be separated from the point clouds.
  • Vicari et al. 2018, Methods in Ecology and Evolution.
  • Moorthy et al. 2019, IEEE Transactions On Geoscience And Remote Sensing.
  • Wang et al. 2019, Methods in Ecology and Evolution.
• Occlusion, particularly the visibility of the canopy.
  • More scans, drones, dynamic scanning positioning, mobile scanning.
• Parameters need to be somehow optimise.
  • How to measure the fit of the model against the data?
  • How to decide the best model?
Above-ground volume and biomass
•   Lidar+QSM gives volume + wood density = biomass
     •   Calders et al. (2015). Non-destructive estimates of above-ground biomass using
         terrestrial laser scanning. Methods in Ecology and Evolution.
     •   Raumonen et al. 2015: “Massive-scale tree modelling from TLS data”. ISPRS Annals.
     •   Hackenberg et al. (2015). SimpleTree - an efficient open source tool to build tree
         models from TLS clouds. Forests.
     •   Kunz et al. (2017): Comparison of wood volume estimates of young trees from
         terrestrial laser scan data. iForest.
     •   Gonzalez de Tanago Menaca et al. 2018: ”Estimation of above-ground biomass of
         large tropical trees with Terrestrial LiDAR”. Methods in Ecology and Evolution.

•   Generally under 10% error in biomass

•   Accuracy/error independent of tree size

•   For big trees allometry can give large (30-50%) errors

•   This conference: Eric Casella: “Sensitivity analysis of an automated
    processing chain and uncertainty in the prediction of tree above ground
    biomass from TLS data”.

•   This conference: Alvaro Lau: “Tropical tree biomass equations from
    terrestrial LiDAR”.
Below-ground biomass and structure

•   Stump-root systems of big trees were uprooted
    and cleaned, then scanned.

•   Hybrid-QSM: mesh (stump) and cylinders (roots).

•   Smith et al. (2014): “Root system characterization
    and volume estimation by terrestrial laser
    scanning”. Forests.

    •   Underestimated volume by 4.4%.
Feature spaces from QSMs
• QSMs allow to access myriad (potentially thousands) tree
  features, most manually unmeasurable.

• Increases the dimensionality of LiDAR data.
• Åkerblom et al. 2017: “Automatic tree species recognition
  with quantitative structure models”. Remote Sensing of
  Environment.
Species classification

•   Åkerblom et al. 2017: “Automatic tree
    species recognition with quantitative
    structure models”. Remote Sensing
    of Environment.

    •   3 species, 5 plots, over 1000 trees.

    •   95% recognition accuracy.
Database of QSMs

•   Save QSMs with proper metadata into a database with free access.

•   Make queries to mine the data.

•   Could be useful for validation and generation of many scientific
    hypothesis in ecology and forest research.

•   This conference: Special discussion session hosted by Markku Åkerblom.

•   This conference: Atticus Stovall: “Global Trends In Three-Dimensional Tree
    Structure”.
3. Empirical 3D models: Leaves
Wood-leaf segmentation

•   Woody structure modelling: preferred to scan in leaf-off conditions.

•   Usually the point cloud contains points both from leaves and wood.

•   There is a need for accurate/rough separation of wood and leaf points:
    •   Accurate QSM-reconstruction.
    •   Ecological applications (e.g. total leaf-area).
Wood-leaf segmentation

•   Classification methods:
•   Vicari et al. 2018: “Leaf and wood classification framework for terrestrial LiDAR point clouds”.
    Methods in Ecology and Evolution.
    •   Point-wise classification based on geometric features
    •   Path-analysis
•   Moorthy et al. 2019: “Improved Supervised Learning-Based Approach for Leaf and Wood
    Classification From LiDAR Point Clouds of Forests”. IEEE Transactions On Geoscience And
    Remote Sensing.
    •   Point-wise classification based on geometric features
•   Wang et al. 2019: “LeWoS: A Universal Leaf-wood Classification Method to Facilitate the 3D
    Modelling of Large Tropical Trees Using Terrestrial LiDAR”. Methods in Ecology and Evolution.
    •   Point-wise geometric features
    •   Recursive point cloud segmentation and regularisation
QSMs with leaves
• Hard to measure leaves, particularly individual leaves.
• It might be possible to measure leaf-distributions:
  • location (leaf-area-density)
  • leaf-size
  • leaf-orientation
  • This conference: Van-Tho Nguyen: “Validation of plant
    area density estimated from TLS data by using a voxel
    representation of 3D forests”.

• Distributions supported by QSMs.
• Sample those distributions to populate QSMs with leaves.
•   Åkerblom et al 2018: “Non-Intersecting Leaf Insertion Algorithm for Tree Structure Models”.
    Interface Focus.

•   Matlab code: https://github.com/InverseTampere/qsm-fanni-matlab
4. Empirical 4D models
4D empirical tree models

• Generate a time-series of empirical 3D models:
  • Scan the trees repeatedly for many years.
  • Reconstruct empirical 3D models (QSMs) from each repeated scan.
• This conference:
  • Eric Casella: “Sensing the growth of oak trees from an eight-year TLS survey period”.
  • Kim Calders: “Quantifying forest growth in a free-air CO2 enrichment experiment using
     terrestrial laser scanning”.
  • Miro Demol: “TLS for long-term forest monitoring: experience from the ICOS flux tower
     network”.
  • Eetu Puttonen: “Experiences in monitoring seasonal variation in vegetation with high
     density spatial and temporal terrestrial laser scanning time series”.
How to model tree growth?

•   Biology-based theoretical functional-structural plant models
    (FSPMs) such as Lignum.

•   TLS-derived empirical 3D models can help for the development and
    validation of FSPMs.
Validation/development of FSPMs with empirical
                            tree models

•   Beyer et al. 2017: “Validation of a
    functional-structural tree model using
    terrestrial Lidar data”. Ecological Modelling.
    •   Comparison of the simulated tree crown
        (3D spatial leaf density) to empirical
        crowns obtained from TLS data.
    •   TLS data provides an unprecedented
        degree of information on tree geometry
        compared to traditional forest inventory
        measurements.
Validation/development of FSPMs with
                 empirical tree models

•   Sievänen et al. 2018: “A study of crown development
    mechanisms using a shoot-based tree model and segmented
    terrestrial laser scanning data”. Annals of Botany.
    •   LIGNUM and pseudo-time-series of empirical QSMs.
    •   Different formulations of crown development (flushing of
        buds and length of growth of new internodes) in LIGNUM.
    •   Optimized the parameter values of each formulation to
        observe the best fit of LIGNUM simulations to the
        measured trees.
    •   Metric combined both tree-level characteristics and
        measures of crown shape.
•   Pseudo time series in Sievänen et al. 2018:

•   TLS-derived QSMs (left) and modified
    Lignum models (right).
How to model tree growth?

•   Biology-based theoretical functional-structural plant models (FSPMs).

•   More fully synthetic “4D-geometric” models that flexibly represent intuitive
    aspects of growth, resources, and structure without strict biological rules.

•   Combine the two and add stochastic properties:

•   Stochastic Structure Model - SSM.
Stochastic Structure Model - SSM

•   A model with fixed parameters (deterministic ones and those of probability
    distributions) creates statistically similar trees:

•   Morphological clones approximating the case:
    •   same genotype
    •   similar growth conditions
    •   so the differences are due to random effects.

•   Potapov et al 2016: “Bayes Forest: a data-intensive generator of morphological
    tree clones”, GigaScience.

•   Matlab code: https://github.com/inuritdino/BayesForest
Tuning SSMs Using Empirical Tree Models (QSMs)

Potapov et al 2016: “Bayes Forest: a data-intensive generator of morphological tree clones”. GigaScience.
Clone-generation

Potapov et al.: Data-based stochastic modeling of tree growth and structure formation, Silva Fennica, 2016
Next steps
•   Fully automatic processing chain: Plot level point cloud —> QSMs of individual trees with leaves.
    •   Automatic tree extraction.
    •   Automatic wood-leaf-segmentation.
    •   Automatic QSM reconstruction with leaves.

•   QSM and point cloud quality estimation/grading.

•   Upscaling: from TLS to satellite data – large comprehensively analysed test plots for large-scale
    calibration.

•   Use multi-channel or hyperspectral lidar information in QSM and leaf reconstruction and for 4D models.

•   Large scale repeated TLS measurements and time series of QSMs.
    •   Ecological research.
    •   4D tree model development and validation.

•   Measuring and modelling accurately distributions of leaf area density, size, and orientation.

•   Publicly accessible QSM database with tens of thousands of trees.
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