Abstract

We give a concise explication of the theory of level set methods for modeling motion of an interface as well as the numerical implementation of these methods. We then introduce the geometry of a camera and the mathematical models for 3D reconstruction with a few examples both simulated and from a real camera. We finally describe the model for 3D surface reconstruction from n-camera views using level set methods.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2011-07-13

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd4666

Keywords

Level Set Method, PDE, Differential Geometry, Computer Vision, 3D Reconstruction

Included in

Mathematics Commons

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