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A Differential Geometric Approach us...

Kunsberg, Benjamin.

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A Differential Geometric Approach using Orientation Fields for Shape from Shading.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A Differential Geometric Approach using Orientation Fields for Shape from Shading./
作者:	Kunsberg, Benjamin.
面頁冊數:	136 p.
附註:	Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
Contained By:	Dissertation Abstracts International75-09B(E).
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3580738
ISBN:	9781321055047

A Differential Geometric Approach using Orientation Fields for Shape from Shading.
Kunsberg, Benjamin.

A Differential Geometric Approach using Orientation Fields for Shape from Shading. - 136 p.

Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.

Thesis (Ph.D.)--Yale University, 2014.

This item must not be sold to any third party vendors.

We introduce a method for calculating the local 3D shape of a smooth object from its 2D shaded image. We assume a Lambertian shading model and orthogonal projection. Unlike previous work, we make no assumptions on the surface albedo or curvature nor on the position of the light sources. Rather, we develop the problem in the biologically inspired representation of orientation filters. This leads us to represent the shading patterns as covariant derivatives of differential forms and vector fields. We are able to solve implicitly for all possible surfaces and light source pairs that are possible given a local shaded image. However, this leads to a nonlinear system of partial differential equations (PDEs).

ISBN: 9781321055047Subjects--Topical Terms:

1669109
Applied Mathematics.

A Differential Geometric Approach using Orientation Fields for Shape from Shading.
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245 1 2 $a A Differential Geometric Approach using Orientation Fields for Shape from Shading.
300 $a 136 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
500 $a Adviser: Steve Zucker.
502 $a Thesis (Ph.D.)--Yale University, 2014.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a We introduce a method for calculating the local 3D shape of a smooth object from its 2D shaded image. We assume a Lambertian shading model and orthogonal projection. Unlike previous work, we make no assumptions on the surface albedo or curvature nor on the position of the light sources. Rather, we develop the problem in the biologically inspired representation of orientation filters. This leads us to represent the shading patterns as covariant derivatives of differential forms and vector fields. We are able to solve implicitly for all possible surfaces and light source pairs that are possible given a local shaded image. However, this leads to a nonlinear system of partial differential equations (PDEs).
520 $a We analyze solutions to this PDE system in special cases (both restricted domain and restricted function classes). We consider a second order assumption and the restriction of this PDE system to critical points. We use some approximations to arrive at a global reconstruction method based on the Euler Lagrange equations and consider some topological constraints.
590 $a School code: 0265.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Computer Science. $3 626642
690 $a 0364
690 $a 0984
710 2 $a Yale University. $3 515640
773 0 $t Dissertation Abstracts International $g 75-09B(E).
790 $a 0265
791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3580738