radius-search

Student: Haritha Jayasinghe

Mentors: Sérgio Agostinho, Lars Glud

Modernising the GPU Octree module

Octrees are specialized data structures with nodes that split into eight subchildren, and are a widely used structure when working with point clouds, since they can be used to efficiently perform search operations. The PCL GPU module is an unstable and yet somewhat overlooked component of PCL, implemented using explicit warp-level programming in order to maximize performance.

In many cases the GPU algorithms can execute tasks orders of magnitude faster than it’s CPU counterpart, which can be crucial when working with large point clouds. Unfortunately the GPU API is quite limited and often lacks much of the functionality offered in the equivalent CPU algorithms. The primary aim of this task was to bridge these inconsistencies.

The primary search methods provided by the GPU octree module are listed below

  • A. Approximate Nearest Search
    1. Asynchronous (GPU based) Approximate Nearest Search
    2. Synchronous (CPU based) Approximate Nearest Search
  • B. Radius Search
    1. Asynchronous (GPU based) Radius Search with common radius
    2. Asynchronous (GPU based) Radius Search with individual radius for each query
    3. Asynchronous (GPU based) Radius Search for specified indices with common radius
    4. Synchronous (CPU based) Radius Search
  • C. Asynchronous (GPU based) K Nearest Search

The two ‘synchronous’ versions of the radius search and approximate nearest search methods listed above (A-2 & B-4) provide CPU based implementations (i.e. non parallelized versions that do not use CUDA kernels) of their GPU based counterparts.

While the initial plan was not to spend an extensive amount of time on the GPU octree module, upon closer inspection it was discovered that there were many irregularities and errors within the GPU octree module. Specifically, two of the three primary methods offered by the GPU octree module, namely K Nearest Neighbours search (C) and Asynchronous Approximate Nearest Neighbors search(A-1) were both returning incorrect results. Furthermore, one of of Radius Search’s variants (B-2) was also returning incorrect results.

All of these functions were utilizing outdated CUDA primitives and idioms, risking deprecation in the near future. When diving into the code, it was also discovered that the GPU approximate nearest neighbours algorithm used a completely different traversal methodology from it’s CPU counterpart.

Due to these discoveries, the scope of the GPU modernization effort was expanded and prioritized over some of the other goals and thus a majority of the internship period was spent on addressing this task.

Fixes to Octree search methods and modernizing CUDA functions

Related PRs: [4146] [4306] [4313]

After comprehensively going through the GPU search methods to investigate their functionality and the causes of the above issues, we identified two separate bugs as the underlying cause:

  1. In approximate nearest search and K nearest search, an outdated method was being used to synchronize data between threads in order to sort distances across warp threads. This was fixed by replacing the functionality with warp level primitives introduced in CUDA 9.0.
  2. In radius search, the correct radius was not shared between warp threads. Thus the search was being conducted for incorrect radius values. Synchronizing the radius values across the threads fixed this issue.

Since much of the code inside the above functions utilized an outdated concept of using volatile memory for sharing data between threads, they were also replaced by newer warp primitives to synchronize thread data.

Related PRs: [4294]

The existing implementation of approximate nearest search utilized a simple traversal mechanism which traverses down octree nodes until an empty node is found. Once an empty node is discovered, all points within the parent are searched exhaustively for the closest point. However the CPU counterpart of the approximate nearest search algorithm uses a heuristic (distance from query point to voxel center) to determine the most appropriate voxel to traverse, in case an empty node is discovered. Thus this algorithm will always traverse to the lowest level of an octree. The same traversal method was adapted to the morton code based octree traversal mechanism and implemented for the two GPU approximate nearest search methods.

In addition a new test was designed to assess the functionality of the new traversal mechanism and to ensure that it tallies with that of the CPU approximate nearest search.

Modifying search functions to return square distances

Related PRs: [4338] [4340]

One noticeable flaw in the current GPU search implementations was the inability to return square distances to the identified result points. In order to counter this, the search methods were modified to keep track of and return the distances to the identified results. For Approximate nearest search and K nearest search this was relatively easy, and did not incur a time penalty.

However this was not the case for Radius search, as any octree node that was located within the search radius from the query point was automatically added to the results without performing a distance calculation. Thus a new kernel was introduced to efficiently perform distance computations for points located within these nodes. Due to the additional penalty of performing these computations (benchmark pending), the original radius search method was kept.

Additional tests were added to ensure the accuracy of all returned distances.

Addition of a GPU octree tutorial

Related PRs: [4347]

This tutorial aims to provide users an in-depth overview of the functionality offered by the modernized GPU octree module. It consists of:

  • An introduction to the GPU octree module and search functions;
  • Differences between the CPU and GPU implementations;
  • Instructions on when to use the GPU module;
  • Code samples detailing the use of:
    • Radius Search;
    • Approximate nearest search;
    • K nearest search;
  • Visualizations depicting the functionality of above functions.

Accessory tasks

Related PRs: [7] [8]

Some of the other work carried out to support the modernization of the GPU octree module include:

  • Addition of a CI job to ensure compilation of the GPU module
  • Adding GPU octree tests to the main test module

Conclusion and future work

There were noticeable instances of code repetition which reduced the manageability of the code. These methods were cleaned and code that implemented similar functionality was refactored.

In addition, from the synchronous search methods mentioned earlier, it was decided that the GPU approximate nearest search method could be deprecated as it provides no significant advantage over the traditional CPU approximate nearest search function. However, preliminary benchmarks suggest that the synchronous radius search function offers noticeably faster performance over the traditional CPU radius search function. Therefore, the deprecation of this method has been put off until comprehensive tests are carried out to investigate this behaviour.

One additional drawback with the current GPU K nearest neighbour search algorithm is that it is currently restricted to k = 1 only. A review of the current code base makes it clear that significant modifications and additions are required to both the traversal mechanism as well as the distance computation kernel in order to extend support for any arbitrary K. This provides an interesting challenge to be tackled in the future, which would bring additional value to the GPU octree module.

Introducing flexible types for indices

As laser scans and LIDAR becomes more popular, the need arises for handling clouds with a very large number of points. However, many algorithms within the Point Cloud Library are incapable of handling point clouds containing over 2 billion points due to their indices being limited to 32 bits, which caps the size of supported point clouds at 2 billion. Furthermore, there currently isn’t one standard type being used for indices, instead, a variety of types such as int, long, unsigned_int, and others are being used. Therefore, there is a pressing need to switch to a standard type for indices.

On the flip side, the usage of types with larger capacity leads to increased memory usage and cache misses. This might not be optimal for resource constrained platforms like embedded devices. Thus, the ideal solution would be to allow the user to choose which point type to utilize at compile-time, based on his intended use case and platform.

This flexibility can be offered to the user by transitioning the PCL library’s various modules to the pcl::index_t type.

Providing compile time options to select index types

Related PRs: [4166]

CMake options were added to allow users to select:

  • Signedness of index (signed / unsigned – signed by default);
  • Size of index (8 / 16 / 32 / 64 – 32 by default); at compile-time, from PCL 1.12 onwards.

Adding a CI job for testing 64bit unsigned index type

Related PRs: [4184]

An additional job was added to the CI pipeline to check for any failures that may arise when compiling/running tests with 64 bit, unsigned indices, as opposed to the default 32 bit, signed indices. The CI job was initially configured to only build the modules that have been transitioned to the new index type, so that, as more modules are transitioned, they could be added to the build configuration.

Transitioning fundamental classes to the index_t type

Related PRs: [4173] [4199] [4198] [4205] [4211] [4224] [4228] [4231] [4256] [4257]

A set of fundamental classes such as pcl::PointCloud lie at the core of PCL. These classes contain various data representations which did not have a common type of index. In order to mitigate this issue, all such indices from these classes were switched to the index_t type.

For situations where unsigned indices were required, a new type called uindex_t was also introduced, which acts as an unsigned version of the index_t.

This transition was carried out for the following classes:

  • PointCloud
  • PCLPointCloud2
  • PCLBase
  • PCLPointField
  • Correspondences
  • Vertices
  • PCLImage

During the above transition process, it was discovered that significant additional work was required to address the numerous sign comparison warnings and other errors that arose from the transition in some of the above classes, which took up considerable time.

Furthermore, any changes beyond transitioning the above fundamental classes would have required additional workarounds to carry on, if they were to be carried out before the changes to the fundamental classes have been merged. (These features were planned to be merged in PCL 1.12). Thus, work was shifted to the GPU module at this point.

In addition, while the common module had already been modified to make it compatible with index_t, the tests for this module had not been modified. This was achieved with a very straightforward replacement of integer vectors with index_t vectors.

Transitioning the octree module

Related PRs: [4179]

All indices within the octree module were converted to index_t and its derivatives. This was also a fairly straightforward process of replacing types, once the fundamental types have already been transitioned. The tests for the octree module were also modified to achieve the same effect.

Conclusion and future work

The work carried out primarily focuses on setting the stage for an easy transition towards flexible index types. To this end, the index_t type has been adapted into the fundamental classes and resulting complications have been addressed. The CI pipeline has also been modified to verify the success of this transition.

However, since the above changes only partially cover the transition to flexible index types, additional work must be carried out to complete the transition. Specifically, the rest of the modules must be converted to index_t, and findings from the work done for the transition of the octree module demonstrate a fairly straightforward path towards the conversion of these modules and their tests.

Summary

The internship period was focused on tackling “modernization of the GPU octree module” and “Introducing flexible types for indices”. The scope of these tasks were initially under-estimated in the original proposal, and additional requirements were discovered, which resulted in skipping some of the other goals in favour of prioritizing the above tasks.

The work carried out during the period ensure that the GPU octree search functions now produce accurate results, are verified by tests, adheres to modern CUDA standards, tallies in most cases with their CPU counterpart, and provides users an in-depth overview of their usage and functionality. Furthermore, it sets up the groundwork needed for a full transition to flexible types for point indices to ensure that PCL meets the growing needs of its community.