Level Set Methods in Image Processing

This thesis gives an overview of the use of the level set methods in the field of image science. The similar fast marching method is discussed for comparison, also the narrow band and the particle level set methods are introduced. The level set method is a numerical scheme for representing, deforming and recovering structures in an arbitrary dimensions. It approximates and tracks the moving interfaces, dynamic curves and surfaces. The level set method does not define how and why some boundary is advancing the way it is but simply represents and tracks the boundary. The principal idea of the level set method is to represent the N dimensional boundary in the N+l dimensions. This gives the generality to represent even the complex boundaries. The level set methods can be powerful tools to represent dynamic boundaries, but they can require lot of computing power. Specially the basic level set method have considerable computational burden. This burden can be alleviated with more sophisticated versions of the level set algorithm like the narrow band level set method or with the programmable hardware implementation. Also the parallel approach can be used in suitable applications. It is concluded that these methods can be used in a quite broad range of image applications, like computer vision and graphics, scientific visualization and also to solve problems in computational physics. Level set methods and methods derived and inspired by it will be in the front line of image processing also in the future.

Science Bldg., Ann Arbor

Pouring foundations. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos probably taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Jul 2, 1914. Irwin + Leighton

Science Bldg., Ann Arbor

Foundation work, looking east. Albert Kahn, architect. Irwin & Leighton, contractors. Image mounted on linen. Construction 1914-1915. Building named for Edward H. Kraus. One of series of construction photos probably taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Jul 2, 1914. Irwin + Leighton

Science Bldg., Ann Arbor

Foundation work, looking southeast. Albert Kahn, architect. Irwin & Leighton, contractors. Image mounted on linen. Construction 1914-1915. Building named for Edward H. Kraus. One of series of construction photos probably taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Jul 18, 1914. Irwin + Leighton

Science Bldg., Ann Arbor

Foundation work, looking southeast. Albert Kahn, architect. Irwin & Leighton, contractors. Image mounted on linen. Construction 1914-1915. Building named for Edward H. Kraus. One of series of construction photos probably taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Jul 18, 1914. Irwin + Leighton

Science Bldg., Ann Arbor

Beginning first floor walls, looking northwest. Albert Kahn, architect. Irwin & Leighton, contractors. Image mounted on linen. Construction 1914-1915. Building named for Edward H. Kraus. One of series of construction photos probably taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Aug 14, 1914. Irwin + Leighton

Science Bldg., Ann Arbor

Forms for first floor, looking south. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos probably taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Aug 11, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

First floor, looking northwest. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Aug 29, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

Laying supports and flooring for second floor, looking southeast. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Aug 29, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

Laying supports and flooring for second floor, looking southeast. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H, Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Sept. 15, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

Second floor looking south. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Sept. 15, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

Three floors high looking south. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Oct. 1, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

Looking west. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Oct. 1, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

Looking south. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Oct. 19, 1914. Irwin + Leighton

Science Bldg. Ann Arbor

South facade. Albert Kahn, architect. Irwin & Leighton, contractors. Construction 1914-1915. Building named for Edward H. Kraus. Image mounted on linen. One of series of construction photos taken by Lyndon for contractor and given to UM Building & Grounds. On image: Science Bldg., Ann Arbor. Oct. 19, 1914. Irwin + Leighton