# DataObject¶

The class **DataObject** (part of the library **dataObject**) provides a *n*-dimensional matrix that is used both in the core of **itom** as well as
in any plugin. The *n*-dimensional matrix can have different element types. These types and their often used enumeration value are defined
in the file *typeDefs.h* and are as follows:

Typedef | Enumeration | Description |
---|---|---|

ito::int8 | ito::tInt8 | 8bit, signed, fixed point |

ito::uint8 | ito::tUint8 | 8bit, unsigned, fixed point |

ito::int16 | ito::tInt16 | 16bit, signed, fixed point |

ito::uint16 | ito::tUint16 | 16bit, unsigned, fixed point |

ito::int32 | ito::tInt32 | 32bit, signed, fixed point |

ito::uint32 | ito::tUint32 | 32bit, unsigned, fixed point |

ito::float32 | ito::tFloat32 | 32bit, single-precision floating point |

ito::float64 | ito::tFloat64 | 64bit, double-precision floating point |

ito::complex64 | ito::tComplex64 | real and imaginary part is float32 each |

ito::complex128 | ito::tComplex128 | real and imaginary part is float64 each |

The last two dimensions of each DataObject are denoted *plane* and physically correspond to images. Since no one-dimensional DataObject is available, each DataObject at least consists of one plane. In order to also handle huge matrices in memory,
usually the different planes are stored at different locations in memory. Internally, each plane is an OpenCV matrix of type **cv::Mat_<type>**,
derived from **cv::Mat**. Therefore every plane can be used with every operator given by the **OpenCV**-framework (version 2.3.1
or higher). This kind of DataObject and its way of allocating memory is called *non-continuous*.

In order to make the *DataObject* compatible to matrices that are allocated in one huge memory block (like Numpy arrays), it is also possible to
make any *DataObject* continuous. Then, a huge data block is allocated, such that all planes lie consecutively in memory. This reallocation is implicitly done, when creating a Numpy-array from a non-continuous DataObject.

DataObject can be declared in different possible ways with different dimensions and different data types.

Let’s take an example of a 3x2x5 data object. It can be imagined as shown in the figure below.

As we can see in this figure, each plane is of a type **cv::Mat** class from **OpenCV** library which we know. The internal index of a specific plane can safely be retrieved using the method **seekMat()**. Usually the i-th plane has got the index *i*, however in case of data objects representing a subpart or region of interest of another data object, the i-th plane with respect to the current region of interest can in reality have a bigger index than *i*. The pointers to all planes are stored in one linear vector, represented by the array member **m_data**. It is accessible via **get_mdata()** and is of type **int***. However, it can directly and safely be type-casted to **cv:Mat*** or **cv::Mat_<Type>**.
Please read the section Direct Access to the underlying cv::Mat to understand this concept in detail with a working example.

The following code creates an empty data object with no dimensions (0) and no type (0).

1 2 3 4 | ```
ito::DataObject d0;
std::cout << "empty data object: \n";
std::cout << " dimensions: " << d0.getDims() << "\n";
std::cout << " type: " << d0.getType() << "\n" << std::endl;
``` |

The number of dimensions of this data object are obtained by **getDims()**, whereas its type value in terms of the enumeration above is returned via **getType()**.

The following code creates a 2 dimensional data object of dimensions Y=2, X=5 and of type *float32*.

1 2 3 4 5 6 7 | ```
ito::DataObject d1(2,5, ito::tFloat32);
std::cout << "2x5 data object, float32: \n";
std::cout << " dimensions: " << d1.getDims() << "\n";
std::cout << " type: " << d1.getType() << "\n";
std::cout << " size: " << d1.getSize(0) << " x " << d1.getSize(1) << "\n";
std::cout << " total: " << d1.getTotal() << "\n";
std::cout << d1 << std::endl;
``` |

The size of the specific dimensions is obtained by **getSize** where the argument is the index of the dimensions (*x* is always the last dimension with the biggest index value). **getTotal** returns the total number of elements within this data object.

## Creating a data object¶

For creating a data object in *C++*, there are different constructors available. They are discussed in this section.

An empty data object is created using the argument-less, default constructor:

```
ito::DataObject d1;
```

It has no dimensions and contains no elements. For creating a two or three dimensional data object of a desired type, filled with arbitrary, but not random values, use one of the following constructors:

```
ito::DataObject(const int sizeY, const int sizeX, const int type); //type is one of the enumeration values
ito::DataObject(const int sizeZ, const int sizeY, const int sizeX, const int type, const unsigned char continuous = 0);
```

The optional *continuous* parameter indicates, whether a continuous object (one block in memory) should be allocated (1), or not (0, default).
For higher dimensional objects, there is a constructors that requires an allocated integer array that contains the sizes of all dimensions:

```
ito::DataObject(const unsigned char dimensions, const int *sizes, const int type, const unsigned char continuous = 0);
//e.g.
int sizes[] = {3,4,5,2};
ito::DataObject d1(4,sizes,ito::tFloat32);
```

One other important constructor is - of course - the copy constructor. It creates a shallow copy of an existing data object. A shallow copy means, that both data objects share the same data (hence the array itself), but
the header information is separated (dimensions, sizes...). All meta information is shared as well (axes descriptions, scales, protocol...). If a value of the one object is changed, the corresponding value in the other
object is changed as well. The principle of using shallow copies is a common principle in C programming and highly used in OpenCV. It speeds up the calculation and requires less memory. On the other hand, you need to take
care about the values. If you want to have a so called deep copy of an object, use the **copy** method.

If you know what you do, you can also create a data object from multiple *cv:Mat* of the same type and size. If so, you need to have an array of all cv::Mat (each corresponding to one plane). The created data object then
creates a fast shallow copy of all planes and uses them:

```
ito::DataObject(const unsigned char dimensions, const int *sizes, const int type, const cv::Mat* planes, const unsigned int nrOfPlanes);
//e.g.
cv::Mat planes[] = { cv::Mat::ones(50,50,CV_8U), cv::Mat::zeros(50,50,CV_8U)};
int sizes[] = {50,50};
ito::DataObject d1(2, sizes, ito::tUInt8, planes, 2);
```

Furthermore, there are several constructors to create data objects whose values are already set to the values of a given array. The reader is referred to the detailed documentation of class **ito::DataObject** for this.

## Addressing the elements of a data object¶

Now, we know how to create a data object, so lets have a look at how can one address the elements of a data object. Sometimes it is necessary to read or set single values in one matrix, sometimes one want to access all elements in the matrix or a certain subregion. Therefore, the addressing can be done in one of the following ways:

### Direct access of one single element of a Data Object using **at<_Tp>()** method¶

1 2 3 | ```
ito::DataObject d1(2,5, ito::tFloat32);
d1.at<ito::float32>(0,1) = 5.2;
std::cout << "d1(0,1) = " << d1.at<ito::float32>(0,1) << "\n" << std::endl;
``` |

Here, the addressing is done by the member method **at()**, which is pretty similar to the same method
of the **OpenCV** class **cv::Mat**. The **at()** method can either be used to get the value at a certain position or
to set value at that position in a data object. There are special implementations of **at()** for addressing values in a two- or three-dimensional
data object, where the first argument always is the **z-index** (3D), followed by the **y-index** and the **x-index**.
All indices are zero-based, hence the first element can be referred by addressing **0th position** in every dimension.

Note

The **at()** method is templated where the template parameter must correspond to the type of the corresponding
data object.

Let’s try to summarize some pros and cons of this method.

**Advantages**

- This method gives flexibility to a developer to directly access any element of a data object.
- A developer can also access a part of a data object as well using
**at()**method as described in Direct Access to the underlying cv::Mat.

**Drawbacks**

- Developer has to implement the code under the nest of
**if...else**conditions if one needs to access the whole data object. - It is slow for accessing a lot of values of the matrix compared to the other possible methods.

### Addressing elements of a data object using row pointer¶

When one needs to iterate through certain regions of a data object, then the previous method of accessing a data object using **at** method seems quite insufficient. In such case, one can define a row pointer for each row in matrix and work with row pointer to address elements of a data object in the following way.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | ```
ito::DataObject d1(3,5, ito::tInt16);
int planeID = d1.seekMat(0); //get internal plane number for the first plane
ito::int16 *rowPtr = NULL;
int height = d1.getSize(0);
int width = d1.getSize(1);
for(int m = 0; m < height; m++)
{
rowPtr = (ito::int16*)d1.rowPtr(planeID,m);
std::cout << "Row " << m << ":";
for(int n=0; n < width; n++)
{
rowPtr[n] = m; //accessing each element of data object with row pointer
}
}
std::cout << d1 << std::endl;
``` |

Here, **seekMat()** method gets the internal plane number of the 1st plane in line #2.
In line #8, the pointer to the data array of the m-th row in the 2D-plane is obtained and safed in *rowPtr*.
By iterating through the array given by the *rowPtr*, each element in this row can be read and set to a specific value.

To use this row pointer method for data objects more than 2 dimensions, following code can be used.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | ```
ito::int16 *rowPtr1= NULL;
int dim1 = d1.getSize(0);
int dim2 = d1.getSize(1);
int dim3 = d1.getSize(2);
int dim4 = d1.getSize(3);
int dim5 = d1.getSize(4);
int dataIdx = 0;
for(int i=0; i<dim1; i++)
{
for(int j=0; j<dim2; j++)
{
for(int k=0; k<dim3; k++)
{
dataIdx = d1.seekMat(i*(dim2*dim3) + j*dim3 + k);
for(int l=0; l<dim4; l++)
{
rowPtr1= (ito::int16*)d1.rowPtr(dataIdx,l);
for(int m=0; m<dim5; m++)
{
//Assigning unique value to each element of d1.
rowPtr1[m] = yourValue;
}
}
}
}
}
``` |

Note

Here **dataIdx** represents the number of the plane in the matrix.
The formula in line #14 assigns a non repeating increasing value to dataIdx such that each plane of the data object can be pointed out without any overlapping.

Note

Usually it is not allowed to use the *rowPtr* to access the items of one of the following rows,
since it is not sure if the elements of the next row directly follow to the last value of this row.
For instance, this is not the case, if the current plane represents a region of interest of a bigger plane.
You can only iterate through one entire plane using the row-pointer of the first row if the plane is continuous.
This can be checked by the continuous property of the *cv::Mat* that represents this plane.

Some advantages and disadvantages of using this method are given in the section below.

**Advantages**

- This method is the most efficient way to access the data object.
- This method gives flexibility to access some rows or the full data object at once.

**Drawbacks**

- Complex implementation. One needs deep understanding of pointers to implement this method to access data object.
- This is not an advisable method if one needs to access a few elements of the data object which are not in sequence.

### Assigning a single value to all elements of a data object¶

One can assign a single value to all elements of a data object using the assignment operator “=” in the following way. Here we will also have a look on how to declare a 5 dimensional data object and assign a single floating point value to each element of the data object.

1 2 3 4 | ```
int temp_size[] = {10, 12, 16, 18, 10};
ito::DataObject d1(5,temp_size,ito::tFloat32);
d1 = 3.7;
std::cout << d1 << std::endl;
``` |

### Direct access to the underlying cv::Mat¶

In some cases, one needs to assign values of elements of a data objects based on some portion of another data object. This can be done by using this method of accessing the underlying matrix (cv::Mat) of a data object directly. Following example shows the method to access underlying planes in multidimensional matrices.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | ```
// 4 x 5 x 3 DataObject, int16
ito::DataObject d4(4,5,3,ito::tInt16);
std::cout << "DataObject (4x5x3), int16 \n" << std::endl;
d4 = 3; //assign value 3 to all elements
//access to the third plane (index 2)
int planeID = d4.seekMat(2);
cv::Mat *plane3 = (cv::Mat*)d4.get_mdata()[planeID];
std::cout << "OpenCV plane" << std::endl;
std::cout << *plane3 << std::endl;
//accessing second line in plane3
ito::int16* rowPtr2 = (ito::int16*)plane3->ptr(1);
//regions of interest
//d5 = d4[1:3,0:2,:]
ito::Range ranges[3] = { ito::Range(1,3), ito::Range(0,2), ito::Range::all() };
ito::DataObject d5 = d4.at(ranges);
d5 = 7;
``` |

Let’s try to analyse the code above. As we can see in line #6, we used **seekMat()** method to retrieve the plane id of 3rd plane in 3 dimensional matrix d4.

line #7 declares a pointer variable plane3 of type cv::Mat to hold the contents of plane 3 of data object d4. Line #11 declares a row pointer to point a particular row in plane 3 of data object d4 as a revision to the previous method of accessing elements of a data object using row pointer.

line #14 defines the exemplary ranges to create a new data object d5 from a part of data object d4, which is done in line #15 with the use of **at()** method.

The other way to perform the same operation of line #14 is shown below.

1 2 3 4 5 | ```
ito::Range *ranges = new ito::Range[3];
ranges[0] = ito::Range(1,3);
ranges[1] = ito::Range(0,2);
ranges[2] = ito::Range::all();
delete ranges;
``` |

This code shows the way to modify ranges individually, which can be very useful if one needs to modify this range later in this code to work on other data objects perhaps.

Note

Please consider, that the first index of the range is the first zero-based index inside of the selected range. The second value is always **one** index after the last index
inside of the region of interest. This is very important!! This behaviour is somehow unintuitive, however similar to OpenCV and Python.

Note

**get_mdata()** is a function declared under *DataObject* class. It returns pointer to vector of *cv::_Mat-matrices*.

### Accessing all elements of a data object using iterators¶

There are two classes defined, called **DObjIterator** and **DObjConstIterator** respectively, under the namespace **ITOM**, which support the developer with an easy way to iterate through
the whole data object.
This method can be used only if one needs to iterate through all elements of a data object at once.
Following code snippet shows the example of this method.

1 2 3 4 5 6 7 | ```
int temp = 0; // Temporary variable for indexing some arrays used in this test.
ito::DataObject d6(21,13,ito::tInt16); // Declaring a 21 x 13 data object with data type int16.
ito::DObjIterator it; // Declaration of DObjIterator
for(it=d6.begin();it!=d6.end();++it)
{
*((ito::int16*)(*it_2d)) = cv::saturate_cast<ito::int16>(temp++); // Assigning a unique value to each element of a data object using iterator.
}
``` |

As can be seen in the code above, line #2 declares a 21x31 data object d6 of type int16. Line #3 declares an iterator object **it** of class **DObjIterator**.
DataObject class contains **being()** and **end()** methods to work with iterators. A brief description to this methods can be found under DataObject - Reference document.
These methods contains pointers to the first and last elements of any data objects respectively.
Line #4 makes a meaningful use of these methods in for loop to iterate through the data object **d6**. We first initiate the iterator **it** with the pointer returned by
**d6.begin()**, iterate through the whole data object increasing the iterator value by one in each iteration till the pointer value in iterator **it** reaches the pointer value of the
last element of the data object checking the condition **it!=d6.end()**.

**Advantages**

- This method is a compromise between its usability with ease and performance on execution level. Integration of this method in code is fast and easy.
- Developer does not think about
**if...else**conditions to decide the boundaries of Region of Interest to access any data object.

**Drawbacks**

- Performance degrades against the method Addressing elements of a data object using row pointer.
- It is not advisable to use this method if one needs to access some part or a single element of a data object.

## Working with data objects¶

Now, lets have a look on various methods to work with data objects.

### Creating Eye Matrix¶

Any square data object might need to be converted in eye matrix during many operations in matrix calculations.
This can be quickly done using function **eye()** declared under *DataObject* class.
Syntax for the function **eye()** is shown below.

*dataObjectName.eye(noOfDimensions, dataType);*

*Return Type: void*

To understand the use of this function, following is an exemplary code given. Let’s have a look at it.

1 2 3 4 5 | ```
ito::DataObject *d2 = new ito::DataObject();
d2->eye(3, ito::tInt8);
std::cout << "3x3-eye matrix (int8)" << *d2 << std::endl;
delete d2;
d2 = NULL;
``` |

Here, the function eye() has been used with pointer variable d2 to convert the data object d2 into eye matrix.

Note

eye() function accepts only square matrices as inputs, otherwise it throws exception.

### Creating Ones Matrix¶

Like Eye Matrix, Ones Matrix is equally important in matrix calculations.
So we have developed a function called **ones()** under *DataObject* class to quickly convert any *data object* into *ones matrix*.
Syntax for the function **ones()** is shown below.

*dataObjectName.ones(dim 1,dim 2,...,dim n, dataType);*

*Return Type: void*

1 2 3 4 5 | ```
ito::DataObject *d3 = new ito::DataObject();
d3->ones(2,3,4,ito::tFloat64);
std::cout << "2x3x4-ones matrix (double)" << *d3 << std::endl;
delete d3;
d3 = NULL;
``` |

Here, the function ones() has been used in line #2 with pointer variable d3 to convert the data object d3 into ones matrix of dimension 2x3x4.

### Creating Zeros Matrix¶

We have developed a function called **zeros()** under *DataObject* class to quickly convert any *data object* into *zero matrix*.
Syntax for the function **zeros()** is shown below.

*dataObjectName.zeros(dataType);*

*dataObjectName.zeros(const size_t size, dataType);*

*dataObjectName.zeros(const size_t sizeY, const size_t sizeX, dataType);*

*dataObjectName.zeros(const size_t sizeZ, const size_t sizeY, const size_t sizeX, dataType);*

*dataObjectName.zeros(const unsigned char dimensions, const size_t *sizes, dataType);*

*Return Type: RetVal*

As zeros() function is overloaded, there are more than one syntax shown above.

Note

The **RetVal** class is used for handling error management and return relative codes. More description on this class can be seen in RetVal - Reference.

Following code explains the usage of **zeros()** function.

1 2 3 4 5 | ```
ito::DataObject *dObjZeros = new ito::DataObject();
dObjZeros->zeros(2,3,4,ito::tFloat64);
std::cout << "3x4x5-zeros matrix (double)" << *dObjZeros << std::endl;
delete dObjZeros;
dObjZeros = NULL;
``` |

Here, line number 2 shows the way to use zeros() function to convert data object dObjZeros into a zero matrix.

### Adjusting ROI of a Data Object¶

This section will teach you about how to adjust Region of Interest (ROI) in any data object.

The following example code shows the way to adjust ROI with adjustROI() method and to locate ROI with locateROI() method.

1 2 3 4 5 6 7 8 9 10 | ```
//adjusting ROI of 6x7 data object.
ito::DataObject d6(6,7,ito::tInt16);
int roiLocate[]= {0,0,0,0}; //Empty Array to locate ROI of 2 dimensional data object d6.
d6.adjustROI(-2,0,-1,-4);
d6.locateROI(roiLocate);
std::cout << d6 << std::endl;
for(int i =0;i<4; i++)
{
std::cout << roiLocate[i] << std::endl;
}
``` |

Here, line #4 shows the use of adjustROI() function where negative parameters indicate that the ROI is shrinking in particular dimension. More detailed description of adjustROI() and locateROI() methods can be seen under DataObject - Reference document.

One can also pass an array as a parameter to this adjustROI() function describing the offset details as shown in the following code.

1 2 3 | ```
int matLimits2d[] = {-2,0,-1,-4};
d6.adjustROI(2,matLimits2d);
std::cout << d6 << std::endl;
``` |

Here, adjustROI() function is called with 2 parameters and as can be seen in line #1, the array matLimits2d[] contains the same offset values as passed in adjustROI() method in the previous example.

One can use this example to adjust ROI of data objects more than 2 dimensions as well as shown in later examples below.

The following code shows such an example to modify ROI of a 3 dimensional data object.

1 2 3 4 5 6 7 8 9 10 11 | ```
//adjusting ROI of 6x7x8 data object.
ito::DataObject d7(6,7,8,ito::tFloat32);
int matLimits3d[] = {-1,-2,0,-2,-3,-1};
int lims3d[]= {0,0,0,0,0,0}; //Empty Array to locate ROI of 3 dimensional data object d7.
d7.adjustROI(3,matLimits3d);
d7.locateROI(lims3d);
std::cout << d7 << std::endl;
for(int i = 0; i<5; i++)
{
std::cout << lims3d[i] << std::endl;
}
``` |

Here, a 3 dimensional data object d7 of dimensions 6x7x8 is declared in line #1 using the implementation #4 for data objects.

As can be seen in line #3, array matLimits3d[] of return type **int** contains required 6 offset values to adjust ROI of 3 dimensional data object d7. As shown in line #4, an empty array lims3d[] of *int* as return type is defined to locate the ROI of data object d7 using **locateROI()** function.
Line #7 will print the resultant data object after being adjusted by **adjustROI()** method in line #5 and the for loop in line #8-11 will print these located offset values of the resultant ROI of d7.

### Setting and Getting Axis Units¶

In this section, you will study about assigning and retrieving the axis units at each dimension of a data object. **setAxisUnit()** method is used to assign a unit to a particular axis (dimension) of a data object and is declared under **DataObject** class.
Syntax for this method is given below.

*dataObjectName.setAxisUnit(const unsigned int axisNum, const std::string &unit);*

*Return Type: int*

This function returns 1 if the axis does not exists.

**getAxisUnit()** method is used to retrieve a unit of a particular axis and is also declared under **DataObject** class. The syntax for this method is shown below.

*dataObjectName.getAxisUnit(const int axisNum, bool &validOperation);*

*Return Type: std::string*

This method returns Null if the axisNum is out of the range.

Following example code explains both of these methods.

1 2 3 4 5 6 7 8 | ```
ito::DataObject d8(6,7,ito::tFloat32);
bool vop1, vop2 = 0;
d8.setAxisUnit(0,"cm");
d8.setAxisUnit(1,"cm");
std::string AxisUnit1 =d8.getAxisUnit(0,vop1); //Getting axis unit of 1st dimension of data object d8
std::string AxisUnit2 =d8.getAxisUnit(1,vop2); //Getting axis unit of 2nd dimension of data object d8
std::cout << "Axis Unit of 1st Dimension:" << AxisUnit1 << std::endl;
std::cout << "Axis Unit of 2nd Dimension:" << AxisUnit2 << std::endl;
``` |

Here, a 2 dimensional data object *d8* of dimensions *6x7* is declared in line #1. Line #2 declares boolean variables vop1 and vop2 to pass as parameters in getAxisUnit() method later.
Line #3 and #4 sets the units for dimensions 1 and 2 of data object d8 respectively.

These assigned axis units can be retrieved by getAxisUnit() method as shown in line #5 and #6. Line #7 and #8 prints these retrieved axis units of data object d8.

### Setting and Getting Axis Scale¶

In this section, we will learn about setting and getting the scale values of particular Axis (dimension) of a data object.
This can be done using setAxisScale() and getAxisScale() functions as shown below. These both functions are declared under *DataObject* class.
Syntax for the setAxisScale() function is shown below:

*DataObjectName.setAxisScale(const unsigned int axisNum, const double scale);*

*Return Type: int*

In the same way, syntax for the **getAxisScale()** function is shown below.

*DataObjecName.getAxisScale(const int axisNum)*

*Return Type: double*

Following exemplary code can explain the usage of these functions in a better way.

1 2 3 4 5 6 7 8 | ```
ito::DataObject d9(6,5,3,ito::tInt16);
d9.setAxisScale(0,5);
d9.setAxisScale(1,-0.5);
d9.setAxisScale(2,3.24);
double AxisScale1 =d9.getAxisScale(0);
double AxisScale2 =d9.getAxisScale(1);
double AxisScale3 =d9.getAxisScale(2);
std::cout << "Axis 1 Scale:" << AxisScale1 << "Axis 2 Scale:" << AxisScale2 << "Axis 3 Scale:" << AxisScale3 << std::endl;
``` |

As shown in line #2-4, **setAxisScale()** function is used to assign scales of 5, -0.5 and 3.24 on Axis 0, 1 and 2 respectively of data object d9. Line #5-7 explains how the axis scales can be retrieved using the function **getAxisScale()**.
Line #8 prints down these retrieved axis values at the end of this code snippet.

## Copy data into an existing data object¶

Often, it is necessary to copy external data arrays into a region of interest, an entire plane or an entire data object. Of course this can be done using the methods from the accessing and assigning section above.
However for the common case of copying 2D matrices into a two-dimensional region of interest or a 2D-plane of a data object, there exists the method **copyFromData2D**. The main requirement is, that the size of the
data object exactly fits to the given size of the external array. Additionally, the types of the data must fit as well. Let’s describe the method using two examples:

```
//example for method
ito::RetVal copyFromData2D(const _Tp *data, int sizeX, int sizeY);
//create 6 uint16 values
ito::uint16 arr[] = {1,2,3,4,5,6};
//create a 3x2x3, uint16 data object filled with 0
ito::DataObject b;
b.zeros(3,2,3,ito::tUInt16);
//get a slice of the second plane (careful: index (1,2) only selects one! plane)
ito::Range ranges2[] = {ito::Range(1,2),ito::Range::all(), ito::Range::all()};
ito::DataObject c = b.at(ranges2);
//let all values of c set to the values given by the first argument
//3,2 indicates the width and height of data, since arr is a one dimensional array.
ito::RetVal ret = c.copyFromData2D(arr,3,2);
//prints the resulting overall object b, where the second plane is [1,2,3;4,5,6]
std::cout << b << std::endl;
```

The second example allows to only copy a subpart of the given data block into the data object

```
//example for method
ito::RetVal copyFromData2D(const _Tp *data, int sizeX, int sizeY, \
const int x0, const int y0, const int width, const int height);
//create 6 uint16 values
ito::uint16 arr[] = {1,2,3,4,5,6};
//create a 3x2x3, uint16 data object filled with 0
ito::DataObject b;
b.zeros(3,2,3,ito::tUInt16);
//let the values 2,3 and 5,6 be copied into the second and third column of the second plane
//of b.
ito::Range ranges2[] = {ito::Range(1,2),ito::Range::all(), ito::Range(1,3)};
ito::DataObject c = b.at(ranges2);
ito::RetVal ret = c.copyFromData2D(arr,3,2,1,0,2,2);
//prints the resulting overall object b, where the second plane is [0,2,3;0,5,6]
std::cout << b << std::endl;
```

The *copyFromData2D* is often used for copying camera data inside an internal or an externally given data object.

## Operations on data objects¶

In this section, we will learn some basic operations which can be performed using data objects.

### Adjugate of a data object¶

In many matrix calculations, there occurs a need to adjugate a matrix. Here, we also have a function **adj()** declared under *DataObject* class, which returns an adjugated matrix of the original data object.
Syntax for this method is shown below.

*DataObjectName.adj();*

*Return Type:* ito::DataObject*

Following code snippet explains the use of **adj()** function.

1 2 3 4 5 6 | ```
ito::DataObject d10(6,5,3,ito::tComplex128);
d10.at<ito::complex128 >(0,1,2) = cv::saturate_cast<ito::complex128 >(ito::complex128 (23.2,0));
d10.at<ito::complex128 >(1,0,1) = cv::saturate_cast<ito::complex128 >(ito::complex128 (0,3));
d10.at<ito::complex128 >(2,2,1) = cv::saturate_cast<ito::complex128 >(ito::complex128 (1234,-23.34));
ito::DataObject adjugatedDataObj = d10.adj();
std::cout << "The Adjugated data object:" << std::endl;
``` |

In the code above, a 6x5x3 data object d10 of data type *ito::tComplex128* is created. Later on, in line #2-4, some complex values are assigned at data object elements (0,1,2), (1,0,1) and (2,2,1).
In line #5, an adjugated matrix of data object d10 is created using **adj()** function and stored in new data object called **adjugatedDataObj**. Line #6 prints out this adjugated matrix.

### Transpose a data object¶

Transposing a data object is also one of the very important techniques in matrix calculations. With the use of *trans()* function, we can achieve a transposed matrix of the original data object.
This function is also declared under *DataObject* class. Syntax for this function is shown below.

*DataObjectName.trans()*

*Return Type: ito::DataObject*

Following code snippet explains the usage of **trans()** function.

1 2 3 4 5 6 7 8 9 10 11 12 | ```
ito::DataObject d11(2,2,ito::tInt16);
int temp=0;
for(int i=0;i<2;i++)
{
for(int j=0;j<2;j++)
{
temp++;
d11.at<ito::int16>(i,j)= cv::saturate_cast<ito::int16>(temp);
}
}
ito::DataObject transDObj = d11.trans();
std::cout<< "The Transposed data object:" << std::endl;
``` |

In the code above, a 2x2 data object d11 of type *ito::tInt16* is created. This data object d11 is initiated by assigning different values to each element. In line #11, *trans()* function is used to transpose this data object d11 and resulted transposed data object is stored in new data objected transDobj, which gets printed out in line #12.

Note

Transposing the data object also transposes the axis related informations.

### Squeeze a data object¶

The squeeze method of a data object is a convenient function to return a shallow copy of the data object where all dimensions with a size of 1 are eliminated. This does not have any impact on the underlying data of the data object but only the header information is changed. Therefore, a shallow copy is possible. The squeeze operations is often used, if another function requires for instance a two dimensional data object, but a three dimensional is given. Even, if only one plane of the three dimensional object is selected using any slicing operation (region of interest...), it is still three dimensional. After the squeeze-method however, a two dimensional object is obtained.

Example:

```
//3 x 3 x 2, float32 data object, all values = 0
ito::DataObject a(3,3,2, ito::tFloat32);
a = 0;
//create view or shallow copy of the first plane, using the range objects
ito::Range ranges[] = {ito::Range(1,2),ito::Range::all(), ito::Range::all()};
ito::DataObject secondPlane = a.at(ranges);
//secondPlane has a size of 1 x 3 x 2, this is squeezed
ito::DataObject squeezed = secondPlane.squeeze();
//squeezed has now a size of 3 x 2, set its first element to 2
squeezed.at<ito::float32>(0,0) = 2;
//print out the original object
std::cout << a << std::endl;
//the result is:
/* [[0,0,0;0,0,0];[2,0,0;0,0,0];[0,0,0;0,0,0]]
```

Note

The last two dimensions belonging to planes are never squeezed, since this would require a full recreation of the data object including a deep copy of the data.

### Basic operators with data objects¶

(Same syntax can be used for other operators like ‘+’,’-‘,’=+’,’=-‘, div, cross multiplication (!=), <<(shift left), >> ( shift right)) For the sake of simplicity, some arithmetic operators are overloaded to work upon data objects easily. In this section, such operators to work upon data objects are discussed in details with example codes and syntaxes. Let us start with basic Add “+” operator. Following is one example shown to add two data objects with “+” operator.

1 2 3 4 5 6 7 | ```
ito::DataObject d12(2,2,ito::tInt16);
ito::DataObject d13(2,2,ito::tInt16);
ito::DataObject d14(2,2,ito::tInt16);
d12= cv::saturate_cast<ito::int16>(2);
d13= cv::saturate_cast<ito::int16>(2);
d14= d12 + d13;
std::cout << "Addition of two matrix is:" << d14 << std::endl;
``` |

Here, two data objects *d12* and *d13* are added element-wise and the resultant data object is stored in *d14*. In the same way many other arithmetic, compare or bitwise operators can work with data objects.
In the following, many operators are introduced that are overloaded for working with data objects as argument.

#### Arithmetic operators¶

**addition and subtraction**

Using the *+* or *-* operator, two data objects of the same size and same type can be added/subtracted by means of an element-wise addition/subtraction:

```
ito::DataObject mat3 = mat1 + mat2;
mat3 = mat1 - mat2;
```

The same operations can also be done inplace, such that one data object is added to or subtracted from another data object, that is directly modified:

```
mat2 += mat1;
mat2 -= mat1;
```

**multiplication and division**

At first, the star-operator “*” is overloaded, such it is possible to multiply a constant factor to all values of the given data object. This can also be done inplace:

```
ito::DataObject mat2 = mat1 * 2.0;
mat1 *= 2.0; //inplace
```

When using the star-operator with two data objects, one needs to know that this indicates a matrix-multiplication in the mathematical sense, hence a **m x n** matrix multiplied
with a **n x k** matrix results in a **m x k** matrix:

```
ito::DataObject mat3 = mat1 * mat2;
```

Note

This operation is only defined for *float32* and *float64* datatypes.

An element-wise multiplication of two data objects of same size and type is obtained by using the **mul** method of the first data object:

```
ito::DataObject mat3 = mat1.mul(mat2);
```

The element-wise division is finally obtained by the corresponding **div** method:

```
ito::DataObject mat3 = mat1.div(mat2);
```

Note

The **“div”** operator can not be used to calculate inverse matrix.

#### Comparison operators¶

The comparison operators can be used to element-wisely compare the elements of two data objects of same size and type. The result of all comparisons is a data object with the same size
than the compared objects but with the fixed type *uint8*. Depending on the comparison, this resulting matrix contains a value of **0** or **1**. The comparison operators are not
supported for the **int8** and **int32** data types (OpenCV restriction). Available operators are:

```
ito::DataObject result = (mat1 == mat2); //equal to
ito::DataObject result = (mat1 != mat2); //unequal to
ito::DataObject result = (mat1 < mat2); //lower than
mat1 <= mat2; //lower or equal than
mat1 > mat2; //bigger than
mat1 >= mat2; //bigger or equal than
```

#### Shift operators¶

Shift operators play a significant role during some arithmetic operations (i.e. division/multiplication by 2), bit level calculations, etc. The shift operators are only defined for
signed or unsigned fixed point data types. A left shift can either return the resulting data object or can be done in-place. The left shift moves every element in a data object by
*x* places to the left such that the resulting number is multiplied by two to the power of *x*:

```
unsigned int x = 2;
ito::DataObject result = mat1 << x; //left-shift
mat <<= x; //in-place
```

The right-shift is similar but it moves the binary number by *x* places to the right, hence, the number is divided by two to the power of *x*.

```
unsigned int x = 2;
ito::DataObject result = mat1 >> x; //right-shift
mat >>= x; //in-place
```

#### Bitwise operations¶

The bitwise operators are also executed as an element-wise operation and are defined for all data types. The participating data objects must again have the same size and type. Examples are:

```
ito::DataObject result = mat1 & mat2; //bitwise and-combination
result = mat1 | mat2; //bitwise or-combination
result = mat1 ^ mat2; //bitwise nor-combination
//inplace:
mat1 &= mat2;
mat1 |= mat2;
mat1 ^= mat2;
```

#### Combination of different operators¶

Different operators (explained above) can be used in different possible combinations with data objects for speedy calculations.

Some of the examples of such combinations are shown below.

1 2 3 | ```
d4 = d1 + d2 - d3;
d3 = (d1 | d2).div((d1 << 1) + d1);
d4= (d1 & d2).mul(d3 >> 2);
``` |

With the close observation of the example statements above, one can get an idea on how to use these operators in different combinations to get the desired operation done.

Note

For a full reference of the class **DataObject** see DataObject - Reference.