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PUBLISHER: The Insight Partners | PRODUCT CODE: 1765035

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PUBLISHER: The Insight Partners | PRODUCT CODE: 1765035

Asia Pacific Simultaneous Localization and Mapping Market Forecast to 2031 - Regional Analysis - by Offerings (2D SLAM and 3D SLAM), System Type (Camera Based and LiDAR Based), and Application (Robotics, UAV, AR or VR, Automotive, RTLS, and Others)

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The Asia Pacific simultaneous localization and mapping market was valued at US$ 129.24 million in 2023 and is expected to reach US$ 1,808.15 million by 2031; it is estimated to register a CAGR of 39.1% from 2023 to 2031.

Integrating SLAM Technology in Metaverse Augmented Reality Boosts Asia Pacific Simultaneous Localization and Mapping Market

AR offers a diverse array of experiences, each with distinctive features and applications, contributing to its increasing versatility and popularity. Metaverse augmented reality primarily refers to the integration of AR technology within the framework of the metaverse. The metaverse is a combined virtual shared space that brings together the aspects of online gaming, virtual reality, social media, augmented reality, and other immersive technologies. The metaverse concept is an interconnected digital universe where individuals can relate with each other and with digital objects in real time.

Metaverse AR undertakes the capacities of conventional AR and expands them into the virtual world of the metaverse. It acts as a connection between the physical and digital realms, allowing users to experience AR not only in their immediate physical environment but also within the virtual spaces of the metaverse. Leveraging technologies such as SLAM and GPS, AR encompasses virtual content to the real world, allowing continuous interaction with digital elements. SLAM is beneficial in navigation apps, interior design, and industrial applications, enabling the overlay of virtual information onto the real-world environment without specific markers. The concepts of AR and the metaverse are rapidly gaining global interest as the future of technology. In 2022, Epic Games received US$ 2 billion in funding from Sony and KIRKBI to advance Epic's metaverse expansion plans. In 2022, Autodesk, Inc. acquired The Wild, a cloud-connected, extended reality (XR) platform, which includes its namesake solutions, The Wild and IrisVR. Through the acquisition, Autodesk aims to meet the strengthening demand for AR and virtual reality (VR) technology advancements globally. In May 2024, Magic Leap signed a multi-faceted, strategic technology partnership with Google to bring a wider range of immersive AR/VR experiences to its end users. The developing SLAM technology and its increasing application in AR, VR, and the metaverse are offering positive opportunities in the market.

Asia Pacific Simultaneous Localization and Mapping Market Overview

The Asia Pacific simultaneous localization and mapping market growth is attributed to technology innovation and strategic collaborations. With a strong focus on advancing air mobility, satellite launches, industrial automation, and robotics in Asia Pacific countries, including China, India, Australia, and Japan, have emerged as key players in the simultaneous localization and mapping market. Major industry contributors include leading aerospace and space companies such as Neumann; Space Machines Company; Beijing Spacecraft Manufacturing Co., Ltd; China Aerospace Science; Technology Corporation; and Kongtian Dongli. These companies are renowned for their initiatives in the space technology sector.

The increasing modernization projects, including Singapore Changi, Beijing Capital International, and Incheon International, are fueling the overall construction sector. Countries such as Indonesia and Thailand are also investing in domestic infrastructural development with more focus on regional airports to improve connectivity. A total of 155 projects out of 425 airport and airport infrastructure development projects across the globe are under development in Asia Pacific with an investment of US$ 209 billion. With an investment of US$ 14.5 billion, Long Thanh International Airport in Vietnam is one of the largest airport development projects in Asia Pacific; it is expected to be completed by 2025. In addition, the expansion of Terminal 5 at Changi Airport, Singapore, is a project worth US$ 10 billion and is expected to be completed by 2030. The growing technological advancement in the construction sector is projected to drive the application of simultaneous localization and mapping technology in Asia Pacific.

Asia Pacific Simultaneous Localization and Mapping Market Revenue and Forecast to 2031 (US$ Million)

Asia Pacific Simultaneous Localization and Mapping Market Segmentation

The Asia Pacific simultaneous localization and mapping market is categorized into offerings, system type, application, and country.

By offerings, the Asia Pacific simultaneous localization and mapping market is divided into 2D SLAM and 3D SLAM. The 2D SLAM segment held a larger share of the Asia Pacific simultaneous localization and mapping market share in 2023.

In terms of system type, the Asia Pacific simultaneous localization and mapping market is bifurcated into camera based and LiDAR based. The camera based segment held a larger share of the Asia Pacific simultaneous localization and mapping market share in 2023.

Based on application, the Asia Pacific simultaneous localization and mapping market is segmented into robotics, UAV, AR or VR, automotive, RTLS, and others. The robotics segment held the largest share of the Asia Pacific simultaneous localization and mapping market share in 2023.

Based on country, the Asia Pacific simultaneous localization and mapping market is segmented into China, Japan, South Korea, India, Australia, and the Rest of Asia Pacific. China segment held the largest share of Asia Pacific simultaneous localization and mapping market in 2023.

ANAVS GmbH; Applanix; Exyn Technologies Inc; FARO Technologies Inc; Kudan Inc; Kuka AG; Leica Geosystems AG; Leishen Intelligent System Co., Ltd; MAXST Co Ltd; NavVis GmbH; Nexxis; Rethink Robotics GmbH; Sevensense Robotics AG; Slamcore Ltd; and Visimind AB are among the leading companies operating in the Asia Pacific simultaneous localization and mapping market.

Product Code: BMIRE00031504

Table Of Contents

1. Introduction

  • 1.1 Report Guidance
  • 1.2 Market Segmentation

2. Executive Summary

  • 2.1 Key Insights
  • 2.2 Market Attractiveness

3. Research Methodology

  • 3.1 Secondary Research
  • 3.2 Primary Research
    • 3.2.1 Hypothesis formulation:
    • 3.2.2 Macro-economic factor analysis:
    • 3.2.3 Developing base number:
    • 3.2.4 Data Triangulation:
    • 3.2.5 Country level data:

4. Asia Pacific Simultaneous Localization and Mapping Market Landscape

  • 4.1 Overview
  • 4.2 PEST Analysis
  • 4.3 Ecosystem Analysis
    • 4.3.1 List of Vendors in the Value Chain

5. Asia Pacific Simultaneous Localization and Mapping Market - Key Market Dynamics

  • 5.1 Asia Pacific Simultaneous Localization and Mapping Market - Key Market Dynamics
  • 5.2 Market Drivers
    • 5.2.1 Rising Adoption of Autonomous Vehicles Globally
    • 5.2.2 Increasing Advent of Industrial Mobile Robotics
    • 5.2.3 Surging Significance of Small Unmanned Systems for Cargo Deliveries
  • 5.3 Market Restraints
    • 5.3.1 Technical Limitations of Simultaneous Localization and Mapping Solutions
  • 5.4 Market Opportunities
    • 5.4.1 Integrating SLAM Technology in Metaverse Augmented Reality
    • 5.4.2 Growing Significance of Advanced Algorithms of SLAM Technology in Healthcare
  • 5.5 Future Trends
    • 5.5.1 Utilization of SLAM technology in Space Applications
  • 5.6 Impact of Drivers and Restraints:

6. Asia Pacific Simultaneous Localization and Mapping Market - Analysis

  • 6.1 Asia Pacific Simultaneous Localization and Mapping Market Revenue (US$ Million), 2021-2031
  • 6.2 Asia Pacific Simultaneous Localization and Mapping Market Forecast Analysis

7. Asia Pacific Simultaneous Localization and Mapping Market Analysis - by Offerings

  • 7.1 2D SLAM
    • 7.1.1 Overview
    • 7.1.2 2D SLAM: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 7.2 3D SLAM
    • 7.2.1 Overview
    • 7.2.2 3D SLAM: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)

8. Asia Pacific Simultaneous Localization and Mapping Market Analysis - by System Type

  • 8.1 Camera Based
    • 8.1.1 Overview
    • 8.1.2 Camera Based: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 8.2 LiDAR Based
    • 8.2.1 Overview
    • 8.2.2 LiDAR Based: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)

9. Asia Pacific Simultaneous Localization and Mapping Market Analysis - by Application

  • 9.1 Robotics
    • 9.1.1 Overview
    • 9.1.2 Robotics: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 9.2 UAV
    • 9.2.1 Overview
    • 9.2.2 UAV: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 9.3 AR or VR
    • 9.3.1 Overview
    • 9.3.2 AR or VR: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 9.4 Automotive
    • 9.4.1 Overview
    • 9.4.2 Automotive: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 9.5 RTLS
    • 9.5.1 Overview
    • 9.5.2 RTLS: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • 9.6 Others
    • 9.6.1 Overview
    • 9.6.2 Others: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)

10. Asia Pacific Simultaneous Localization and Mapping Market - Country Analysis

  • 10.1 Asia Pacific
    • 10.1.1 Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast Analysis - by Country
      • 10.1.1.1 Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast Analysis - by Country
      • 10.1.1.2 China: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
        • 10.1.1.2.1 China: Asia Pacific Simultaneous Localization and Mapping Market Share - by Offerings
        • 10.1.1.2.2 China: Asia Pacific Simultaneous Localization and Mapping Market Share - by System Type
        • 10.1.1.2.3 China: Asia Pacific Simultaneous Localization and Mapping Market Share - by Application
      • 10.1.1.3 Japan: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
        • 10.1.1.3.1 Japan: Asia Pacific Simultaneous Localization and Mapping Market Share - by Offerings
        • 10.1.1.3.2 Japan: Asia Pacific Simultaneous Localization and Mapping Market Share - by System Type
        • 10.1.1.3.3 Japan: Asia Pacific Simultaneous Localization and Mapping Market Share - by Application
      • 10.1.1.4 South Korea: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
        • 10.1.1.4.1 South Korea: Asia Pacific Simultaneous Localization and Mapping Market Share - by Offerings
        • 10.1.1.4.2 South Korea: Asia Pacific Simultaneous Localization and Mapping Market Share - by System Type
        • 10.1.1.4.3 South Korea: Asia Pacific Simultaneous Localization and Mapping Market Share - by Application
      • 10.1.1.5 India: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
        • 10.1.1.5.1 India: Asia Pacific Simultaneous Localization and Mapping Market Share - by Offerings
        • 10.1.1.5.2 India: Asia Pacific Simultaneous Localization and Mapping Market Share - by System Type
        • 10.1.1.5.3 India: Asia Pacific Simultaneous Localization and Mapping Market Share - by Application
      • 10.1.1.6 Australia: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
        • 10.1.1.6.1 Australia: Asia Pacific Simultaneous Localization and Mapping Market Share - by Offerings
        • 10.1.1.6.2 Australia: Asia Pacific Simultaneous Localization and Mapping Market Share - by System Type
        • 10.1.1.6.3 Australia: Asia Pacific Simultaneous Localization and Mapping Market Share - by Application
      • 10.1.1.7 Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
        • 10.1.1.7.1 Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market Share - by Offerings
        • 10.1.1.7.2 Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market Share - by System Type
        • 10.1.1.7.3 Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market Share - by Application

11. Competitive Landscape

  • 11.1 Heat Map Analysis by Key Players
  • 11.2 Company Positioning and Concentration

12. Industry Landscape

  • 12.1 Overview
  • 12.2 Market Initiative
  • 12.3 Product Development
  • 12.4 Mergers & Acquisitions

13. Company Profiles

  • 13.1 Kudan Inc
    • 13.1.1 Key Facts
    • 13.1.2 Business Description
    • 13.1.3 Products and Services
    • 13.1.4 Financial Overview
    • 13.1.5 SWOT Analysis
    • 13.1.6 Key Developments
  • 13.2 Slamcore Ltd
    • 13.2.1 Key Facts
    • 13.2.2 Business Description
    • 13.2.3 Products and Services
    • 13.2.4 Financial Overview
    • 13.2.5 SWOT Analysis
    • 13.2.6 Key Developments
  • 13.3 Sevensense Robotics AG
    • 13.3.1 Key Facts
    • 13.3.2 Business Description
    • 13.3.3 Products and Services
    • 13.3.4 Financial Overview
    • 13.3.5 SWOT Analysis
    • 13.3.6 Key Developments
  • 13.4 MAXST Co Ltd
    • 13.4.1 Key Facts
    • 13.4.2 Business Description
    • 13.4.3 Products and Services
    • 13.4.4 Financial Overview
    • 13.4.5 SWOT Analysis
    • 13.4.6 Key Developments
  • 13.5 Applanix
    • 13.5.1 Key Facts
    • 13.5.2 Business Description
    • 13.5.3 Products and Services
    • 13.5.4 Financial Overview
    • 13.5.5 SWOT Analysis
    • 13.5.6 Key Developments
  • 13.6 Rethink Robotics GmbH
    • 13.6.1 Key Facts
    • 13.6.2 Business Description
    • 13.6.3 Products and Services
    • 13.6.4 Financial Overview
    • 13.6.5 SWOT Analysis
    • 13.6.6 Key Developments
  • 13.7 NavVis GmbH
    • 13.7.1 Key Facts
    • 13.7.2 Business Description
    • 13.7.3 Products and Services
    • 13.7.4 Financial Overview
    • 13.7.5 SWOT Analysis
    • 13.7.6 Key Developments
  • 13.8 Exyn Technologies Inc
    • 13.8.1 Key Facts
    • 13.8.2 Business Description
    • 13.8.3 Products and Services
    • 13.8.4 Financial Overview
    • 13.8.5 SWOT Analysis
    • 13.8.6 Key Developments
  • 13.9 FARO Technologies Inc
    • 13.9.1 Key Facts
    • 13.9.2 Business Description
    • 13.9.3 Products and Services
    • 13.9.4 Financial Overview
    • 13.9.5 SWOT Analysis
    • 13.9.6 Key Developments
  • 13.10 ANAVS GmbH
    • 13.10.1 Key Facts
    • 13.10.2 Business Description
    • 13.10.3 Products and Services
    • 13.10.4 Financial Overview
    • 13.10.5 SWOT Analysis
    • 13.10.6 Key Developments
  • 13.11 Kuka AG
    • 13.11.1 Key Facts
    • 13.11.2 Business Description
    • 13.11.3 Products and Services
    • 13.11.4 Financial Overview
    • 13.11.5 SWOT Analysis
    • 13.11.6 Key Developments
  • 13.12 Leica Geosystems AG
    • 13.12.1 Key Facts
    • 13.12.2 Business Description
    • 13.12.3 Products and Services
    • 13.12.4 Financial Overview
    • 13.12.5 SWOT Analysis
    • 13.12.6 Key Developments
  • 13.13 Leishen Intelligent System Co., Ltd.
    • 13.13.1 Key Facts
    • 13.13.2 Business Description
    • 13.13.3 Products and Services
    • 13.13.4 Financial Overview
    • 13.13.5 SWOT Analysis
    • 13.13.6 Key Developments
  • 13.14 Visimind AB
    • 13.14.1 Key Facts
    • 13.14.2 Business Description
    • 13.14.3 Products and Services
    • 13.14.4 Financial Overview
    • 13.14.5 SWOT Analysis
    • 13.14.6 Key Developments
  • 13.15 Nexxis
    • 13.15.1 Key Facts
    • 13.15.2 Business Description
    • 13.15.3 Products and Services
    • 13.15.4 Financial Overview
    • 13.15.5 SWOT Analysis
    • 13.15.6 Key Developments

14. Appendix

  • 14.1 Appendix
  • 14.2 About Us
Product Code: BMIRE00031504

List Of Tables

  • Table 1. Asia Pacific Simultaneous Localization and Mapping Market Segmentation
  • Table 2. List of Vendors
  • Table 3. Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Table 4. Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million) - by Offerings
  • Table 5. Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million) - by System Type
  • Table 6. Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million) - by Application
  • Table 7. Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million) - by Country
  • Table 8. China: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Offerings
  • Table 9. China: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by System Type
  • Table 10. China: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Application
  • Table 11. Japan: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Offerings
  • Table 12. Japan: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by System Type
  • Table 13. Japan: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Application
  • Table 14. South Korea: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Offerings
  • Table 15. South Korea: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by System Type
  • Table 16. South Korea: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Application
  • Table 17. India: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Offerings
  • Table 18. India: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by System Type
  • Table 19. India: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Application
  • Table 20. Australia: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Offerings
  • Table 21. Australia: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by System Type
  • Table 22. Australia: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Application
  • Table 23. Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Offerings
  • Table 24. Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by System Type
  • Table 25. Rest of Asia Pacific: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021 - 2031 (US$ Million) - by Application

List Of Figures

  • Figure 1. Asia Pacific Simultaneous Localization and Mapping Market Segmentation - Country
  • Figure 2. PEST Analysis
  • Figure 3. PEST Analysis
  • Figure 4. Impact Analysis of Drivers and Restraints
  • Figure 5. Asia Pacific Simultaneous Localization and Mapping Market Revenue (US$ Million), 2021-2031
  • Figure 6. Asia Pacific Simultaneous Localization and Mapping Market Share (%) - by Offerings (2023 and 2031)
  • Figure 7. 2D SLAM: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 8. 3D SLAM: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 9. Asia Pacific Simultaneous Localization and Mapping Market Share (%) - by System Type (2023 and 2031)
  • Figure 10. Camera Based: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 11. LiDAR Based: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 12. Asia Pacific Simultaneous Localization and Mapping Market Share (%) - by Application (2023 and 2031)
  • Figure 13. Robotics: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 14. UAV: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 15. AR or VR: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 16. Automotive: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 17. RTLS: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 18. Others: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021-2031 (US$ Million)
  • Figure 19. Asia Pacific Simultaneous Localization and Mapping Market Breakdown, by Key Countries, 2023 and 2031 (%)
  • Figure 20. China: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021- 2031 (US$ Million)
  • Figure 21. Japan: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021- 2031 (US$ Million)
  • Figure 22. South Korea: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021- 2031 (US$ Million)
  • Figure 23. India: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021- 2031 (US$ Million)
  • Figure 24. Australia: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021- 2031 (US$ Million)
  • Figure 25. Rest of APAC: Asia Pacific Simultaneous Localization and Mapping Market - Revenue and Forecast, 2021- 2031 (US$ Million)
  • Figure 26. Heat Map Analysis by Key Players
  • Figure 27. Company Positioning and Concentration
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