# Multidimensional Raster Data Model

This document attempts to describe the GDAL multidimensional data model, that has been added in GDAL 3.1. That is the types of information that a GDAL multidimensional dataset can contain, and their semantics.

The multidimensional raster API is a generalization of the traditional Raster Data Model, to address 3D, 4D or higher dimension datasets. Currently, it is limited to basic read/write API, and is not that much plugged into other higher level utilities.

It is strongly inspired from the netCDF and HDF5 API and data models. See HDF5 format and data model.

A `GDALDataset` with multidimensional content contains a root `GDALGroup`.

## Group

A `GDALGroup` (modelling a HDF5 Group) is a named container of GDALAttribute, GDALMDArray or other GDALGroup. Hence GDALGroup can describe a hierarchy of objects.

## Attribute

A `GDALAttribute` (modelling a HDF5 Attribute) has a name and a value, and is typically used to describe a metadata item. The value can be (for the HDF5 format) in the general case a multidimensional array of "any" type (in most cases, this will be a single value of string or numeric type)

## Multidimensional array

A `GDALMDArray` (modelling a HDF5 Dataset) has a name, a multidimensional array, references a number of GDALDimension, and has a list of GDALAttribute.

Most drivers use the row-major convention for dimensions: that is, when considering that the array elements are stored consecutively in memory, the first dimension is the slowest varying one (in a 2D image, the row), and the last dimension the fastest varying one (in a 2D image, the column). That convention is the default convention used for NumPy arrays, the MEM driver and the HDF5 and netCDF APIs. The GDAL API is mostly agnostic about that convention, except when passing a NULL array as the stride parameter for the `GDALAbstractMDArray::Read()` and `GDALAbstractMDArray::Write()` methods. You can refer to NumPy documentation about multidimensional array indexing order issues

a GDALMDArray has also optional properties:

> - Coordinate reference system: `OGRSpatialReference`

> - No data value:

> - Unit

> - Offset, such that unscaled_value = offset + scale * raw_value

> - Scale, such that unscaled_value = offset + scale * raw_value

Number of operations can be applied on an array to get modified views of it: `GDALMDArray::Transpose()`, `GDALMDArray::GetView()`, etc.

The `GDALMDArray::Cache()` method can be used to cache the value of a view array into a sidecar file.

## Dimension

A `GDALDimension` describes a dimension / axis used to index multidimensional arrays. It has the following properties:

> - a name

> - a size, that is the number of values that can be indexed along the dimension

> - a type, which is a string giving the nature of the dimension. Predefined values are: HORIZONTAL_X, HORIZONTAL_Y, VERTICAL, TEMPORAL, PARAMETRIC Other values might be used. Empty value means unknown.

> - a direction. Predefined values are: EAST, WEST, SOUTH, NORTH, UP, DOWN, FUTURE, PAST Other values might be used. Empty value means unknown.

> - a reference to a GDALMDArray variable, typically one-dimensional, describing the values taken by the dimension. For a georeferenced GDALMDArray and its X dimension, this will be typically the values of the easting/longitude for each grid point.

## Data Type

A `GDALExtendedDataType` (modelling a HDF5 datatype) describes the type taken by an individual value of a GDALAttribute or GDALMDArray. Its class can be NUMERIC, STRING or COMPOUND. For NUMERIC, the existing `GDALDataType` enumerated values are supported. For COMPOUND, the data type is a list of members, each member being described by a name, a offset in byte in the compound structure and a GDALExtendedDataType.

Note

The HDF5 modelisation allows for more complex datatypes.

Note

HDF5 does not have native data types for complex values whereas GDALDataType does. So a driver may decide to expose a GDT_Cxxxx datatype from a HDF5 Compound data type representing a complex value.

## Objects lifetime

Driver implementations of the multidimensional API are such that instances of GDALGroup, GDALMDArray, GDALAttribute and GDALDimension can be used independently of the objects from which they have been obtained from. So:

- the GDALGroup instance returned by `GDALDataset::GetRootGroup()` can be used after the dataset has been closed.

- Sub-groups obtained from `GDALGroup::OpenGroup()` or arrays obtained from `GDALGroup::OpenMDArray()` can be used after the owning group has been released.

- Similarly for attributes or dimensions obtained from a group or an array.

So the following is perfectly legal:

    #include "gdal_priv.h"

    std::shared_ptr<GDALMDArray> GetArray()
    {
        auto poDataset = std::unique_ptr<GDALDataset>(
            GDALDataset::Open( "in.nc", GDAL_OF_MULTIDIM_RASTER ));
        if( !poDataset )
        {
            return nullptr:
        }
        auto poRootGroup = poDataset->GetRootGroup();
        if( !poRootGroup )
        {
            return nullptr:
        }
        auto poVar = poRootGroup->OpenMDArray("temperature");
        if( !poVar )
        {
            return nullptr:
        }
        return poVar;
    }

    int main()
    {
        GDALAllRegister();
        auto poVar = GetArray();
        if( !poVar )
        {
            exit(1);
        }

        // Do something with poVar

        return 0;
    }

A potential point of attention is that, when creating / editing a dataset, all those objects keep alive the underlying file descriptors, so changes are only guaranteed to be serialized when all objects related to a dataset have been released.

C++

    int main()
    {
        GDALAllRegister();

        auto poDataset = std::unique_ptr<GDALDataset>(
            GetGDALDriverManager()->GetDriverByName("netCDF")->
                CreateMultiDimensional( "new.nc", nullptr, nullptr ));
        auto poRootGroup = poDataset->GetRootGroup();

        // Could be closed a bit later too
        poDataset.reset();

        auto poDim = poRootGroup->CreateDimension(
            "my_dim", std::string(), std::string(), 10);
        auto poArray = poRootGroup->CreateMDArray(
            "my_var", {poDim}, GDALExtendedDataType::Create(GDT_Byte), nullptr);

        // Can be closed in any order
        poArray.reset();
        poDim.reset();
        poRootGroup.reset();

        // new.nc is fully valid just now

        return 0;
    }

Python

    from osgeo import gdal

    with gdal.GetDriverByName("netCDF").CreateMultiDimensional("new.nc") as ds:
        rg = ds.GetRootGroup()
        dim = rg.CreateDimension("my_dim", "", "", 10)
        array = rg.CreateMDArray("my_var", [dim], gdal.ExtendedDataType.Create(gdal.GDT_Byte))

        del array
        del dim
        del rg

    # new.nc is fully valid just now

## Differences with the GDAL 2D raster data model

- The concept of GDALRasterBand is no longer used for multidimensional. This can be modelled as either different GDALMDArray, or using a compound data type.

- There is not yet a standardized concept multi-resolution arrays/overviews in the multidimensional API

## Bridges between GDAL 2D classic raster data model and multidimensional data model

The `GDALRasterBand::AsMDArray()` and `GDALMDArray::AsClassicDataset()` can be used to respectively convert a raster band to a MD array or a 2D dataset to a MD array.

## Applications

The following applications can be used to inspect and manipulate multidimensional datasets:

- gdalmdiminfo

- gdalmdimtranslate