Interview, Conference Presentation
Joan Lasenby on Applications of Geometric Algebra in Engineering
- The project intends to utilize drones to examine the built environment by processing visual data through lines rather than points, employing geometric algebra as the mathematical framework to handle this line-based vision.
- Team members anticipate the imminent release of a web-based tool and online Python notebook developed by Hugo and Alex, which will allow users to test functionality without installation difficulties and include readme files and graphics for concept visualization.
- Plans include seeking feedback via email for the web version and providing instructions for chipset and FPGA implementations to satisfy community demand for hardware deployment guidance.
- Geometric algebra is positioned to provide advantages for analyzing moving images, drones, and multiple camera streams, specifically by simplifying the intersection of lines and planes and the identification of circles and spheres through conformal geometric algebra.
- The framework is expected to facilitate unification in physics by modeling electromagnetic fields, handling thin-shell elasticity, and addressing quantum mechanics and relativity, potentially driving fundamental theoretical advances.
- Adoption is projected to grow more easily among younger individuals who lack entrenched prejudices regarding commutative algebra, whereas skepticism is anticipated from experts already proficient in alternative methods like Pauli matrices.
- Current barriers to adoption include the absence of geometric algebra from standard curricula such as fourth-year image processing and a general lack of student awareness, though the speaker notes the global community is expanding with small groups existing almost everywhere.
- While machine learning remains nearly unavoidable in fields like medical time series analysis and image segmentation, geometric algebra is viewed as a distinct solution for problems involving moving cameras and geometric object extraction.