TransformationConverterImpl.h

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// ----------------------------------------------------------------------------
// -                        Open3D: www.open3d.org                            -
// ----------------------------------------------------------------------------
// Copyright (c) 2018-2024 www.open3d.org
// SPDX-License-Identifier: MIT
// ----------------------------------------------------------------------------
 
// Private header. Do not include in Open3d.h.
 
#pragma once
 
#include <cmath>
 
#include "open3d/core/CUDAUtils.h"
 
namespace open3d {
namespace t {
namespace pipelines {
namespace kernel {

template <typename scalar_t>
OPEN3D_HOST_DEVICE inline void PoseToTransformationImpl(
        scalar_t *transformation_ptr, const scalar_t *pose_ptr) {
    transformation_ptr[0] = cos(pose_ptr[2]) * cos(pose_ptr[1]);
    transformation_ptr[1] =
            -1 * sin(pose_ptr[2]) * cos(pose_ptr[0]) +
            cos(pose_ptr[2]) * sin(pose_ptr[1]) * sin(pose_ptr[0]);
    transformation_ptr[2] =
            sin(pose_ptr[2]) * sin(pose_ptr[0]) +
            cos(pose_ptr[2]) * sin(pose_ptr[1]) * cos(pose_ptr[0]);
    transformation_ptr[4] = sin(pose_ptr[2]) * cos(pose_ptr[1]);
    transformation_ptr[5] =
            cos(pose_ptr[2]) * cos(pose_ptr[0]) +
            sin(pose_ptr[2]) * sin(pose_ptr[1]) * sin(pose_ptr[0]);
    transformation_ptr[6] =
            -1 * cos(pose_ptr[2]) * sin(pose_ptr[0]) +
            sin(pose_ptr[2]) * sin(pose_ptr[1]) * cos(pose_ptr[0]);
    transformation_ptr[8] = -1 * sin(pose_ptr[1]);
    transformation_ptr[9] = cos(pose_ptr[1]) * sin(pose_ptr[0]);
    transformation_ptr[10] = cos(pose_ptr[1]) * cos(pose_ptr[0]);
}

template <typename scalar_t>
OPEN3D_HOST_DEVICE inline void TransformationToPoseImpl(
        scalar_t *pose_ptr, const scalar_t *transformation_ptr) {
    const scalar_t sy = sqrt(transformation_ptr[0] * transformation_ptr[0] +
                             transformation_ptr[4] * transformation_ptr[4]);
    if (!(sy < 1e-6)) {
        pose_ptr[0] = atan2(transformation_ptr[9], transformation_ptr[10]);
        pose_ptr[1] = atan2(-transformation_ptr[8], sy);
        pose_ptr[2] = atan2(transformation_ptr[4], transformation_ptr[0]);
    } else {
        pose_ptr[0] = atan2(-transformation_ptr[6], transformation_ptr[5]);
        pose_ptr[1] = atan2(-transformation_ptr[8], sy);
        pose_ptr[2] = 0;
    }
}
 
#ifdef BUILD_CUDA_MODULE
template <typename scalar_t>
void PoseToTransformationCUDA(scalar_t *transformation_ptr,
                              const scalar_t *pose_ptr);

template <typename scalar_t>
void TransformationToPoseCUDA(scalar_t *pose_ptr,
                              const scalar_t *transformation_ptr);
#endif
 
}  // namespace kernel
}  // namespace pipelines
}  // namespace t
}  // namespace open3d