# fixNode

## Description

## Examples

### Optimize Simple Factor Graph

Create a factor graph.

fg = factorGraph;

Define two approximate pose states of the robot.

rstate = [0 0 0; 1 1 pi/2];

Define the relative pose measurement between two nodes from the odometry as the pose difference between the states with some noise. The relative measurement must be in the reference frame of the second node so you must rotate the difference in position to be in the reference frame of the second node.

```
posediff = diff(rstate);
rotdiffso2 = so2(posediff(3),"theta");
transformedPos = transform(inv(rotdiffso2),posediff(1:2));
odomNoise = 0.1*rand;
measure = [transformedPos posediff(3)] + odomNoise;
```

Create a SE(2) two-pose factor with the relative measurement. Then add the factor to the factor graph to create two nodes.

```
ids = generateNodeID(fg,1,"factorTwoPoseSE2");
f = factorTwoPoseSE2(ids,Measurement=measure);
addFactor(fg,f);
```

Get the state of both pose nodes.

stateDefault = nodeState(fg,ids)

`stateDefault = `*2×3*
0 0 0
0 0 0

Because these nodes are new, they have default state values. Ideally before optimizing, you should assign an approximate guess of the absolute pose. This increases the possibility of the `optimize`

function finding the global minimum. Otherwise `optimize`

may become trapped in the local minimum, producing a suboptimal solution.

Keep the first node state at the origin and set the second node state to an approximate xy-position at `[0.9 0.95]`

and a theta rotation of `pi/3`

radians. In practical applications you could use sensor measurements from your odometry to determine the approximate state of each pose node.

nodeState(fg,ids(2),rstate(2,:))

`ans = `*1×3*
1.0000 1.0000 1.5708

Before optimizing, save the node state so you can reoptimize as needed.

statePriorOpt1 = nodeState(fg,ids);

Optimize the nodes and check the node states.

optimize(fg); stateOpt1 = nodeState(fg,ids)

`stateOpt1 = `*2×3*
-0.1038 0.8725 0.1512
1.1038 0.1275 1.8035

Note that after optimization the first node did not stay at the origin because although the graph does have the initial guess for the state, the graph does not have any constraint on the absolute position. The graph has only the relative pose measurement, which acts as a constraint for the relative pose between the two nodes. So the graph attempts to reduce the cost related to the relative pose, but not the absolute pose. To provide more information to the graph, you can fix the state of nodes or add an absolute prior measurement factor.

Reset the states and then fix the first node. Then verify that the first node is fixed.

nodeState(fg,ids,statePriorOpt1); fixNode(fg,ids(1)) isNodeFixed(fg,ids(1))

`ans = `*logical*
1

Reoptimize the factor graph and get the node states.

optimize(fg)

`ans = `*struct with fields:*
InitialCost: 1.8470
FinalCost: 1.8470e-16
NumSuccessfulSteps: 2
NumUnsuccessfulSteps: 0
TotalTime: 1.4591e-04
TerminationType: 0
IsSolutionUsable: 1
OptimizedNodeIDs: 1
FixedNodeIDs: 0

stateOpt2 = nodeState(fg,ids)

`stateOpt2 = `*2×3*
0 0 0
1.0815 -0.9185 1.6523

Note that after optimizing this time, the first node state remained at the origin.

## Input Arguments

`fg`

— Factor graph containing nodes to fix

`factorGraph`

object

Factor graph containing nodes to fix, specified as a `factorGraph`

object.

`nodeIDs`

— IDs of nodes to fix or free

*N*-element row vector of nonnegative integers

IDs of the nodes to fix or free within the factor graph, specified as an
*N*-element row vector of nonnegative integers. *N*
is the total number of nodes to fix or free.

`flag`

— New fix status of node

`true`

or `1`

(default) | `false`

or `0`

New fix status of the node, specified as a logical `1`

(`true`

) or `0`

(`false`

). If
specified as `true`

, the function fixes the node so the `optimize`

function does not change the state of the node. If specified as
`false`

, the function frees the node during optimization.

## Extended Capabilities

### C/C++ Code Generation

Generate C and C++ code using MATLAB® Coder™.

## Version History

**Introduced in R2022a**

### R2023a: Fix or free multiple nodes at a time

`fixNode`

now supports fixing or freeing more than one node at a
time by specifying `nodeIDs`

as a vector of node IDs.

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