📦 Bellande Step (Infinite Dimensions)

Preprint

Preprint Citation

Bellande, R. (2024). Efficient Step Function for Infinite Multi-Dimensional Node Calculation within Model-Integrated Dimensional Space [version 1] [preprint]. Mathematics.

🧙 Organization Website

🧙 Organization Github

Author, Creator and Maintainer

• Ronaldson Bellande

Bellande Step Executables & Models

API HTTP Usability (BELLANDE FORMAT)

# Copyright (C) 2024 Bellande Robotics Sensors Research Innovation Center, Ronaldson Bellande
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
# 
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.

# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <https://www.gnu.org/licenses/>.
# GNU General Public License v3.0 or later

url: https://bellande-robotics-sensors-research-innovation-center.org

endpoint_path:
    bellande_step: /api/Bellande_Step/bellande_step_nd

Bellande_Framework_Access_Key: bellande_web_api_opensource

API HTTP Usability (JSON FORMAT)

{
  "license": [
    "Copyright (C) 2024 Bellande Robotics Sensors Research Innovation Center, Ronaldson Bellande",
    "This program is free software: you can redistribute it and/or modify",
    "it under the terms of the GNU General Public License as published by",
    "the Free Software Foundation, either version 3 of the License, or",
    "(at your option) any later version.",
    "",
    "This program is distributed in the hope that it will be useful,",
    "but WITHOUT ANY WARRANTY; without even the implied warranty of",
    "MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the",
    "GNU General Public License for more details.",
    "",
    "You should have received a copy of the GNU General Public License",
    "along with this program.  If not, see <https://www.gnu.org/licenses/>.",
    "GNU General Public License v3.0 or later"
  ],
  "url": "https://bellande-robotics-sensors-research-innovation-center.org",
  "endpoint_path": {
    "bellande_step": "/api/Bellande_Step/bellande_step_nd"
  },
  "Bellande_Framework_Access_Key": "bellande_web_api_opensource"
}

API Payload Example

{
    "node0": [0, 0, 0],
    "node1": [100, 100, 100],
    "limit": 75,
    "dimensions": 3,
    "auth": {
      "authorization_key": "bellande_web_api_opensource"
    }
}

🧙 Website Bellande API Testing

Quick Bellande API Testing

curl -X 'POST' \
  'https://bellande-robotics-sensors-research-innovation-center.org/api/Bellande_Step/bellande_step_nd' \
  -H 'accept: application/json' \
  -H 'Content-Type: application/json' \
  -d '{
    "node0": [0, 0, 0],
    "node1": [100, 100, 100],
    "limit": 75,
    "dimensions": 3,
    "auth": {
      "authorization_key": "bellande_web_api_opensource"
    }
  }'

BS(Bellande Step) Algorithm API

Experiment 1 -- Limit = 1

Figure 2D	Figure 3D	Figure 4D
Figure 5D	Figure 6D	Figure 7D
Figure 8D	Figure 9D	Figure 10D

Experiment 2 -- Limit = 25

Figure 2D	Figure 3D	Figure 4D
Figure 5D	Figure 6D	Figure 7D
Figure 8D	Figure 9D	Figure 10D

Experiment 3 -- Limit = 50

Figure 2D	Figure 3D	Figure 4D
Figure 5D	Figure 6D	Figure 7D
Figure 8D	Figure 9D	Figure 10D

Experiment 4 -- Limit = 75

Figure 2D	Figure 3D	Figure 4D
Figure 5D	Figure 6D	Figure 7D
Figure 8D	Figure 9D	Figure 10D

Experiment 5 -- Limit = 100

Figure 2D	Figure 3D	Figure 4D
Figure 5D	Figure 6D	Figure 7D
Figure 8D	Figure 9D	Figure 10D

Check Out Research Organization for open-source/semi-open-source API

• https://robotics-sensors.github.io
• Check out website for more information avaliable open-source API

Package via Executable

• Infinite Space

bellande_step "[0, 0, 0]" "[100, 100, 100]" 75 3

API in api_docs

• 2D Space

• 3D Space

• 4D Space

• 5D Space

• 6D Space

• 7D Space

• 8D Space

• 9D Space

• 10D Space

Can also checkout portion of the docs at Portion API DOCS

✔️ confirmed versions

• The step function efficiently computes the next step towards a target node within a specified distance limit.

Usage 2D Space

Suppose you have two nodes representing positions in a 2D space:

• node0 at coordinates (0, 0)
• node1 at coordinates (5, 5)

You want to compute the next step from node0 towards node1 while limiting the maximum distance to 3 units.

# Define Import 
from bellande_step.bellande_step_2d import bellande_step_2d

# Define the nodes
node0 = Node2D(0, 0)
node1 = Node2D(5, 5)

# Compute the next step within a distance limit of 3 units
next_step = bellande_step_2d(node0, node1, limit=3)

# Output the coordinates of the next step
print("Next Step Coordinates:", next_step.coord) 

Usage 3D Space

Suppose you have two nodes representing positions in a 3D space:

• node0 at coordinates (0, 0, 0)
• node1 at coordinates (5, 5, 5)

You want to compute the next step from node0 towards node1 while limiting the maximum distance to 3 units.

# Define Import 
from bellande_step.bellande_step_3d import bellande_step_3d

# Define the nodes
node0 = Node3D(0, 0, 0)
node1 = Node3D(5, 5, 5)

# Compute the next step within a distance limit of 3 units
next_step = bellande_step_3d(node0, node1, limit=3)

# Output the coordinates of the next step
print("Next Step Coordinates:", next_step.coord)

Avaliable

• 2D Space

• 3D Space

• 4D Space

• 5D Space

• 6D Space

• 7D Space

• 8D Space

• 9D Space

• 10D Space

Website PYPI

• https://pypi.org/project/bellande_robot_step

Installation

• $ pip install bellande_robot_step

Upgrade (if not upgraded)

• $ pip install --upgrade bellande_robot_step

Name: bellande_robot_step
Version: 0.3.0
Summary: Computes the next step towards a target node
Home-page: github.com/RonaldsonBellande/bellande_robot_step
Author: Ronaldson Bellande
Author-email: ronaldsonbellande@gmail.com
License: GNU General Public License v3.0
Requires: numpy
Required-by:

Published Paper

Coming Soon

Preprint

License

This Algorithm or Models is distributed under the Creative Commons Attribution-ShareAlike 4.0 International License, see LICENSE and NOTICE for more information.