differential geometry : geodesics (introduction)
TRANSCRIPT
Differential Geometry: GEODESICSBoonnam Nathaphonブンナム ナッタポン
Physical and Mathematical StudiesSchool of Science and Technology
Contents
MotivationWhat is GEODESIC ?Applications Conclusion
2Differential Geometry: GEODESICS Midterm Presentation
Motivation
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Differential Geometry: GEODESICS Midterm Presentation
What is GEODESIC?
GEODESICS a generalization of the notion of a
straight line to curved spaces. a curve locally minimizes the
distance between two points on any mathematically defined space.
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What is GEODESIC?
5Differential Geometry: GEODESICS Midterm Presentation
What is GEODESIC?
The world-shaped geometry is similar to the sphere.
The shortest path is the intersection of plane and sphere; great circle.
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Application: Clinical Technology
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Differential Geometry: GEODESICS Midterm Presentation
Application: Clinical Technology
If we look at arm-shapedgeometry similar to thecylinder, we will be able to find the shortest path in the surgery .
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Application: Clinical Technology
If we take the both of a cylinder and a cone to stick together and find geodesic path, it would be applied.
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Application: Engineering Construction
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Application: Engineering Construction
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Application: Engineering Construction
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Conclusion
Before we have done the other applications as above, we have to know about the notion of differential geometry
In particular, if we want to find the shortest path between two points on any surfaces.
WE SHOULD STUDY THE GEODESICS.13
Differential Geometry: GEODESICS Midterm Presentation
THANK YOUFOR YOUR ATTENTION
Differential Geometry: GEODESICSBoonnam Nathaphonブンナム ナッタポン
Physical and Mathematical StudiesSchool of Science and Technology