Title :
Work in progress - how to interpret polylines approximating curves on a surface
Author :
Miyata, Takatomi ; Miyata, Masachika
Author_Institution :
Kanazawa Inst. of Technol., Kanazawa
Abstract :
Every wireframe model of a smooth surface is considered as a simple but very rough approximation. However it contains rich information. In this paper a piece of an approximated tangent plane, a tangent cell, is defined from a wireframe model in order to introduce students to an approximation of connection by making a tree of tangent cells. When this tree is put on a plane, parallel transport of a vector is equal to its parallel shift on the plane in usual meaning.
Keywords :
approximation theory; approximated tangent plane; parallel vector transport; rough approximation; smooth surface; tangent cell; Approximation error; Arithmetic; Differential equations; Galois fields; Joining processes; Manifolds; Rough surfaces; Springs; Surface roughness; Connection; Modified Euler’s method; Tangent plane; Torsion-free;
Conference_Titel :
Frontiers in Education Conference, 2008. FIE 2008. 38th Annual
Conference_Location :
Saratoga Springs, NY
Print_ISBN :
978-1-4244-1969-2
Electronic_ISBN :
0190-5848
DOI :
10.1109/FIE.2008.4720475
